Lectures on gravitation /:
This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several in...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well. |
| Beschreibung: | 1 online resource (xi, 338 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (page vii) and index. |
| ISBN: | 9789814329392 9814329398 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn742232113 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 110723s2011 si a ob 001 0 eng d | ||
| 010 | |a 2011281314 | ||
| 040 | |a N$T |b eng |e pn |c N$T |d EBLCP |d E7B |d MHW |d YDXCP |d OCLCQ |d UIU |d OCLCQ |d DEBSZ |d OCLCQ |d OCLCF |d OCLCQ |d AGLDB |d ZCU |d MERUC |d OCLCQ |d U3W |d OCLCQ |d VTS |d CEF |d ICG |d INT |d VT2 |d AU@ |d OCLCQ |d WYU |d TKN |d STF |d DKC |d OCLCQ |d M8D |d UKAHL |d OCLCQ |d LEAUB |d AJS |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ |d OCLCL | ||
| 019 | |a 1055329196 |a 1058079184 |a 1062938656 |a 1086550117 |a 1228615858 | ||
| 020 | |a 9789814329392 |q (electronic bk.) | ||
| 020 | |a 9814329398 |q (electronic bk.) | ||
| 020 | |z 9789814329378 | ||
| 020 | |z 9814329371 | ||
| 020 | |z 9789814329385 | ||
| 020 | |z 981432938X | ||
| 035 | |a (OCoLC)742232113 |z (OCoLC)1055329196 |z (OCoLC)1058079184 |z (OCoLC)1062938656 |z (OCoLC)1086550117 |z (OCoLC)1228615858 | ||
| 050 | 4 | |a QC173.6 |b .D37 2011eb | |
| 072 | 7 | |a SCI |x 033000 |2 bisacsh | |
| 082 | 7 | |a 531/.14 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Das, Ashok, |d 1953- |1 https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd |0 http://id.loc.gov/authorities/names/n85218480 | |
| 245 | 1 | 0 | |a Lectures on gravitation / |c Ashok Das. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2011. | ||
| 300 | |a 1 online resource (xi, 338 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (page vii) and index. | ||
| 505 | 0 | |a Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation. | |
| 520 | |a This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a General relativity (Physics) |v Textbooks. | |
| 650 | 0 | |a Big bang theory |v Textbooks. | |
| 650 | 7 | |a SCIENCE |x Gravity. |2 bisacsh | |
| 650 | 7 | |a Big bang theory |2 fast | |
| 650 | 7 | |a General relativity (Physics) |2 fast | |
| 655 | 7 | |a Textbooks |2 fast | |
| 758 | |i has work: |a Lectures on gravitation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFCdyJpBJ78tgJVKJrXQVP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Das, Ashok, 1953- |t Lectures on gravitation. |d Singapore ; Hackensack, NJ : World Scientific, ©2011 |z 9789814329378 |w (DLC) 2011281314 |w (OCoLC)659773209 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373241 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH25565277 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL737622 | ||
| 938 | |a ebrary |b EBRY |n ebr10479685 | ||
| 938 | |a EBSCOhost |b EBSC |n 373241 | ||
| 938 | |a YBP Library Services |b YANK |n 6965186 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn742232113 |
|---|---|
| _version_ | 1816881765443174401 |
| adam_text | |
| any_adam_object | |
| author | Das, Ashok, 1953- |
| author_GND | http://id.loc.gov/authorities/names/n85218480 |
| author_facet | Das, Ashok, 1953- |
| author_role | |
| author_sort | Das, Ashok, 1953- |
| author_variant | a d ad |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QC173 |
| callnumber-raw | QC173.6 .D37 2011eb |
| callnumber-search | QC173.6 .D37 2011eb |
| callnumber-sort | QC 3173.6 D37 42011EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation. |
| ctrlnum | (OCoLC)742232113 |
| dewey-full | 531/.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.14 |
| dewey-search | 531/.14 |
| dewey-sort | 3531 214 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05134cam a2200577 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn742232113</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">110723s2011 si a ob 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a"> 2011281314</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">EBLCP</subfield><subfield code="d">E7B</subfield><subfield code="d">MHW</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UIU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">ZCU</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">U3W</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">CEF</subfield><subfield code="d">ICG</subfield><subfield code="d">INT</subfield><subfield code="d">VT2</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">TKN</subfield><subfield code="d">STF</subfield><subfield code="d">DKC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">LEAUB</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCL</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1055329196</subfield><subfield code="a">1058079184</subfield><subfield code="a">1062938656</subfield><subfield code="a">1086550117</subfield><subfield code="a">1228615858</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789814329392</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9814329398</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789814329378</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9814329371</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789814329385</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">981432938X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)742232113</subfield><subfield code="z">(OCoLC)1055329196</subfield><subfield code="z">(OCoLC)1058079184</subfield><subfield code="z">(OCoLC)1062938656</subfield><subfield code="z">(OCoLC)1086550117</subfield><subfield code="z">(OCoLC)1228615858</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QC173.6</subfield><subfield code="b">.D37 2011eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI</subfield><subfield code="x">033000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">531/.14</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Das, Ashok,</subfield><subfield code="d">1953-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n85218480</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on gravitation /</subfield><subfield code="c">Ashok Das.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Singapore ;</subfield><subfield code="a">Hackensack, NJ :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2011.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xi, 338 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (page vii) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">General relativity (Physics)</subfield><subfield code="v">Textbooks.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Big bang theory</subfield><subfield code="v">Textbooks.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Gravity.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Big bang theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">General relativity (Physics)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Textbooks</subfield><subfield code="2">fast</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Lectures on gravitation (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCFCdyJpBJ78tgJVKJrXQVP</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Das, Ashok, 1953-</subfield><subfield code="t">Lectures on gravitation.</subfield><subfield code="d">Singapore ; Hackensack, NJ : World Scientific, ©2011</subfield><subfield code="z">9789814329378</subfield><subfield code="w">(DLC) 2011281314</subfield><subfield code="w">(OCoLC)659773209</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373241</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH25565277</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL737622</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10479685</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">373241</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">6965186</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Textbooks fast |
| genre_facet | Textbooks |
| id | ZDB-4-EBA-ocn742232113 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:55Z |
| institution | BVB |
| isbn | 9789814329392 9814329398 |
| language | English |
| lccn | 2011281314 |
| oclc_num | 742232113 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 338 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Das, Ashok, 1953- https://id.oclc.org/worldcat/entity/E39PBJcWr4TdM8xPxThQ3YvJXd http://id.loc.gov/authorities/names/n85218480 Lectures on gravitation / Ashok Das. Singapore ; Hackensack, NJ : World Scientific, ©2011. 1 online resource (xi, 338 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (page vii) and index. Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation. This book is a compilation of the lectures for a one-semester course on gravitation at the University of Rochester. Starting from a simple description of geometry, the topics are systematically developed to the big bang theory with a simple derivation of the cosmic background temperature. Several informative examples are worked out in detail as well. Print version record. General relativity (Physics) Textbooks. Big bang theory Textbooks. SCIENCE Gravity. bisacsh Big bang theory fast General relativity (Physics) fast Textbooks fast has work: Lectures on gravitation (Text) https://id.oclc.org/worldcat/entity/E39PCFCdyJpBJ78tgJVKJrXQVP https://id.oclc.org/worldcat/ontology/hasWork Print version: Das, Ashok, 1953- Lectures on gravitation. Singapore ; Hackensack, NJ : World Scientific, ©2011 9789814329378 (DLC) 2011281314 (OCoLC)659773209 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373241 Volltext |
| spellingShingle | Das, Ashok, 1953- Lectures on gravitation / Basics of geometry and relativity. Two dimensional geometry ; Inertial and gravitational masses ; Relativity -- Relativistic dynamics. Relativistic point particle ; Current and charge densities ; Maxwell's equations in the presence of sources ; Motion of a charged particle in EM field ; Energy-momentum tensor ; Angular momentum -- Principle of general covariance. Principle of equivalence ; Principle of general covariance ; Tensor densities -- Affine connection and covariant derivative. Parallel transport of a vector ; Christoffel symbol ; Covariant derivative of contravariant tensors ; Metric compatibility ; Covariant derivative of covariant and mixed tensors ; Electromagnetic analogy ; Gradient, divergence and curl -- Geodesic equation. Covariant differentiation along a curve ; Curvature from derivatives ; Parallel transport along a closed curve ; Geodesic equation ; Derivation of geodesic equation from a Lagranian -- Applications of the geodesic equation. Geodesic as representing gravitational effect ; Rotating coordinate system and the Coriolis force ; Gravitational red shift ; Twin paradox and general covariance ; Other equations in the presence of gravitation -- Curvature tensor and Einstein's equation. Curvilinear coordinates versus gravitational field ; Definition of an inertial coordinate frame ; Geodesic deviation ; Properties of the curvature tensor ; Einstein's equation ; Cosmological constant ; Initial value problem ; Einstein's equation from an action -- Schwarzschild solution. Line element ; Connection ; Solution of the Einstein equation ; Properties of the Schwarzschild solution ; Isotropic coordinates -- Tests of general relativity. Radar echo experiment ; Motion of a particle in a Schwarzschild background ; Motion of light rays in a Schwarzschild background ; Perihelion advance of Mercury -- Black holes. Singularities of the metric ; Singularities of the Schwarzschild metric ; Black holes -- Comological models and the big bang theory. Homogeneity and isotropy ; Different models of the universe ; Hubble's law ; Evolution equation ; Big bang theory and blackbody radiation. General relativity (Physics) Textbooks. Big bang theory Textbooks. SCIENCE Gravity. bisacsh Big bang theory fast General relativity (Physics) fast |
| title | Lectures on gravitation / |
| title_auth | Lectures on gravitation / |
| title_exact_search | Lectures on gravitation / |
| title_full | Lectures on gravitation / Ashok Das. |
| title_fullStr | Lectures on gravitation / Ashok Das. |
| title_full_unstemmed | Lectures on gravitation / Ashok Das. |
| title_short | Lectures on gravitation / |
| title_sort | lectures on gravitation |
| topic | General relativity (Physics) Textbooks. Big bang theory Textbooks. SCIENCE Gravity. bisacsh Big bang theory fast General relativity (Physics) fast |
| topic_facet | General relativity (Physics) Textbooks. Big bang theory Textbooks. SCIENCE Gravity. Big bang theory General relativity (Physics) Textbooks |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=373241 |
| work_keys_str_mv | AT dasashok lecturesongravitation |