Lectures on gravitation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
©2011
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (xi, 338 pages) |
| ISBN: | 9789814329378 9789814329385 9789814329392 9814329371 981432938X 9814329398 |
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| 500 | |a Includes bibliographical references (page vii) and index | ||
| 500 | |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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
| 500 | |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 | ||
| 650 | 4 | |a Big bang theory / Textbooks | |
| 650 | 4 | |a General relativity (Physics) / Textbooks | |
| 650 | 4 | |a General relativity (Physics) | |
| 650 | 4 | |a Physics | |
| 650 | 4 | |a Science | |
| 650 | 7 | |a SCIENCE / Gravity |2 bisacsh | |
| 650 | 4 | |a Naturwissenschaft | |
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Datensatz im Suchindex
| _version_ | 1804175478380036096 |
|---|---|
| any_adam_object | |
| author | Das, Ashok |
| author_facet | Das, Ashok |
| author_role | aut |
| author_sort | Das, Ashok |
| author_variant | a d ad |
| building | Verbundindex |
| bvnumber | BV043083963 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)742232113 (DE-599)BVBBV043083963 |
| 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 |
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| id | DE-604.BV043083963 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:16:55Z |
| institution | BVB |
| isbn | 9789814329378 9789814329385 9789814329392 9814329371 981432938X 9814329398 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028508155 |
| oclc_num | 742232113 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xi, 338 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Das, Ashok Verfasser aut Lectures on gravitation Ashok Das Singapore World Scientific ©2011 1 Online-Ressource (xi, 338 pages) txt rdacontent c rdamedia 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 Big bang theory / Textbooks General relativity (Physics) / Textbooks General relativity (Physics) Physics Science SCIENCE / Gravity bisacsh Naturwissenschaft General relativity (Physics) Textbooks Big bang theory Textbooks Gravitation (DE-588)4021908-2 gnd rswk-swf Gravitation (DE-588)4021908-2 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=373241 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Das, Ashok Lectures on gravitation Big bang theory / Textbooks General relativity (Physics) / Textbooks General relativity (Physics) Physics Science SCIENCE / Gravity bisacsh Naturwissenschaft General relativity (Physics) Textbooks Big bang theory Textbooks Gravitation (DE-588)4021908-2 gnd |
| subject_GND | (DE-588)4021908-2 |
| 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 | Big bang theory / Textbooks General relativity (Physics) / Textbooks General relativity (Physics) Physics Science SCIENCE / Gravity bisacsh Naturwissenschaft General relativity (Physics) Textbooks Big bang theory Textbooks Gravitation (DE-588)4021908-2 gnd |
| topic_facet | Big bang theory / Textbooks General relativity (Physics) / Textbooks General relativity (Physics) Physics Science SCIENCE / Gravity Naturwissenschaft General relativity (Physics) Textbooks Big bang theory Textbooks Gravitation |
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