A general relativity coursebook:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2023
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xii, 197 Seiten Illustrationen |
| ISBN: | 9781009242431 9781009242448 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV049024787 | ||
| 003 | DE-604 | ||
| 005 | 20240110 | ||
| 007 | t | ||
| 008 | 230628s2023 a||| b||| 00||| eng d | ||
| 020 | |a 9781009242431 |c Hardback |9 978-1-009-24243-1 | ||
| 020 | |a 9781009242448 |c Paperback |9 978-1-009-24244-8 | ||
| 035 | |a (OCoLC)1398623652 | ||
| 035 | |a (DE-599)BVBBV049024787 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-20 | ||
| 084 | |a UH 8300 |0 (DE-625)145781: |2 rvk | ||
| 100 | 1 | |a Daw, Ed |d 1969- |e Verfasser |0 (DE-588)1290653399 |4 aut | |
| 245 | 1 | 0 | |a A general relativity coursebook |c Ed Daw, University of Sheffield |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2023 | |
| 300 | |a xii, 197 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Allgemeine Relativitätstheorie |0 (DE-588)4112491-1 |2 gnd |9 rswk-swf |
| 653 | 0 | |a General relativity (Physics) / Textbooks | |
| 653 | 0 | |a Equivalence principle (Physics) | |
| 653 | 0 | |a Equivalence principle (Physics) | |
| 653 | 0 | |a General relativity (Physics) | |
| 653 | 6 | |a Textbooks | |
| 689 | 0 | 0 | |a Allgemeine Relativitätstheorie |0 (DE-588)4112491-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-009-24247-9 |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034287612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-034287612 | |
Datensatz im Suchindex
| _version_ | 1812256505019236352 |
|---|---|
| adam_text |
Contents Preface 1 2 page xi The Principle of Equivalence 1.1 Are Smooth Curves Natural? 1.2 The Birth of General Relativity 1.3 Tangents to Curves in One Dimension 1.4 Curved Surfaces and Tangent Planes 1.5 Four-Dimensional Space-Time 1.6 Einstein’s Principle of Equivalence 1.7 The Einstein Summation Convention 1.8 Diagnostic Quiz 1.9 Problems 1 Tensors 2.1 Curvilinear Coordinates 2.2 Metric Coefficients in Plane Polar Coordinates 2.3 A Closer Look at Polar Coordinates 2.4 Tensors in Polar Coordinates 2.5 Transformation Laws for the Components of Tensors of Arbitrary Rank 2.6 Tensor Analysis 2.7 Tensors in Space-Time 2.8 Some More Space-Time Tensors 2.9 Index Tricks of the Trade 2.10 Problems 19 19 20 24 26 1 3 4 7 10 13 15 16 17 27 27 30 33 35 39
viii Contents 3 Matter in Space-Time 3.1 Dust 3.2 Energy and Momentum of Dust 3.3 The Stress Energy Tensor of Dust 3.4 Conservation of Energy 3.5 Problems 43 43 46 46 50 51 4 Geodesics 4.1 The Action and Lagrangian for a Curve 4.2 The Euler-Lagrange Equations 4.3 Geodesics in Flat Space 4.4 Tensor Expression for the Lagrangian 4.5 Lagrangians in Space-Time 4.6 Cyclic Coordinates 4.7 Differentiation of Tensors 4.8 Christoffel Symbols 4.9 Covariant Derivatives 4.10 The Metric Coefficients 4.11 The Geodesic Equations 4.12 Problems 53 53 55 59 62 63 66 67 69 71 75 76 78 5 Einstein’s Equations 5.1 Curvature Tensors 5.2 Parallel Transport 5.3 Curvature from Christoffel Symbols 5.4 Symmetries of the Riemann Tensor 5.5 The Ricci Curvature Tensor 5.6 Bianchi Identities 5.7 Einstein’s Equations, up to a Constant 5.8 Problems 83 83 83 87 88 94 95 96 98 6 Schwarzschild’s Solution 6.1 Introduction 6.2 General Form of the Metric 6.3 Christoffel Symbols 6.4 Evaluation of Riemann Components 6.5 Ricci Tensor Coefficients 6.6 The Ricci Scalar 100 100 100 101 104 107 110
Contents 6.7 6.8 6.9 6.10 6.11 6.12 6.13 The Einstein Tensor Correspondence with Newtonian Gravity The Event Horizon Kruskal-Szekeres Coordinates Metric Coefficients in Kruskal Coordinates Wormholes Problems ix 110 112 114 116 117 121 122 7 Cosmology 7.1 The Cosmological Principle 7.2 Spaces of Uniform Curvature 7.3 Cosmologial Redshift 7.4 What Is the r Coordinate? 7.5 Lagrangian and Christoffel Symbols 7.6 Riemann Curvature 7.7 Ricci Tensor Coefficients 7.8 The Ricci Scalar 7.9 The Einstein Tensor 7.10 Einstein’s Equations 7.11 Energy Density and the Friedmann Equation 7.12 Equations for Pressure 7.13 Comoving Versus Laboratory Coordinates 7.14 The Cosmological Constant 7.15 Review 7.16 Problems 131 131 132 132 134 135 138 139 140 141 142 143 143 144 147 148 148 8 Gravitational Waves 8.1 Astronomy with Gravity 8.2 Einstein’s Equations for a Flat Vacuum 8.3 Linear Metric Perturbations 8.4 Gauges in Gravitation 8.5 Observers of the Transverse Traceless Gauge 8.6 Laboratory Coordinates 8.7 Cross and Plus Polarised Waves 8.8 Gravitational Wave Detection 8.9 Differential Interferometry 8.10 Summary of Gravitational Waves 8.11 Problems 151 151 152 152 155 157 158 160 162 166 174 175
Contents x 9 A Guide to Further Reading 9.1 9.2 9.3 9.4 Epilogue Books for Ongoing Study Other Conventions in Tensor Analysis Where from Here? References Index 179 179 179 180 187 192 195 |
| adam_txt |
Contents Preface 1 2 page xi The Principle of Equivalence 1.1 Are Smooth Curves Natural? 1.2 The Birth of General Relativity 1.3 Tangents to Curves in One Dimension 1.4 Curved Surfaces and Tangent Planes 1.5 Four-Dimensional Space-Time 1.6 Einstein’s Principle of Equivalence 1.7 The Einstein Summation Convention 1.8 Diagnostic Quiz 1.9 Problems 1 Tensors 2.1 Curvilinear Coordinates 2.2 Metric Coefficients in Plane Polar Coordinates 2.3 A Closer Look at Polar Coordinates 2.4 Tensors in Polar Coordinates 2.5 Transformation Laws for the Components of Tensors of Arbitrary Rank 2.6 Tensor Analysis 2.7 Tensors in Space-Time 2.8 Some More Space-Time Tensors 2.9 Index Tricks of the Trade 2.10 Problems 19 19 20 24 26 1 3 4 7 10 13 15 16 17 27 27 30 33 35 39
viii Contents 3 Matter in Space-Time 3.1 Dust 3.2 Energy and Momentum of Dust 3.3 The Stress Energy Tensor of Dust 3.4 Conservation of Energy 3.5 Problems 43 43 46 46 50 51 4 Geodesics 4.1 The Action and Lagrangian for a Curve 4.2 The Euler-Lagrange Equations 4.3 Geodesics in Flat Space 4.4 Tensor Expression for the Lagrangian 4.5 Lagrangians in Space-Time 4.6 Cyclic Coordinates 4.7 Differentiation of Tensors 4.8 Christoffel Symbols 4.9 Covariant Derivatives 4.10 The Metric Coefficients 4.11 The Geodesic Equations 4.12 Problems 53 53 55 59 62 63 66 67 69 71 75 76 78 5 Einstein’s Equations 5.1 Curvature Tensors 5.2 Parallel Transport 5.3 Curvature from Christoffel Symbols 5.4 Symmetries of the Riemann Tensor 5.5 The Ricci Curvature Tensor 5.6 Bianchi Identities 5.7 Einstein’s Equations, up to a Constant 5.8 Problems 83 83 83 87 88 94 95 96 98 6 Schwarzschild’s Solution 6.1 Introduction 6.2 General Form of the Metric 6.3 Christoffel Symbols 6.4 Evaluation of Riemann Components 6.5 Ricci Tensor Coefficients 6.6 The Ricci Scalar 100 100 100 101 104 107 110
Contents 6.7 6.8 6.9 6.10 6.11 6.12 6.13 The Einstein Tensor Correspondence with Newtonian Gravity The Event Horizon Kruskal-Szekeres Coordinates Metric Coefficients in Kruskal Coordinates Wormholes Problems ix 110 112 114 116 117 121 122 7 Cosmology 7.1 The Cosmological Principle 7.2 Spaces of Uniform Curvature 7.3 Cosmologial Redshift 7.4 What Is the r Coordinate? 7.5 Lagrangian and Christoffel Symbols 7.6 Riemann Curvature 7.7 Ricci Tensor Coefficients 7.8 The Ricci Scalar 7.9 The Einstein Tensor 7.10 Einstein’s Equations 7.11 Energy Density and the Friedmann Equation 7.12 Equations for Pressure 7.13 Comoving Versus Laboratory Coordinates 7.14 The Cosmological Constant 7.15 Review 7.16 Problems 131 131 132 132 134 135 138 139 140 141 142 143 143 144 147 148 148 8 Gravitational Waves 8.1 Astronomy with Gravity 8.2 Einstein’s Equations for a Flat Vacuum 8.3 Linear Metric Perturbations 8.4 Gauges in Gravitation 8.5 Observers of the Transverse Traceless Gauge 8.6 Laboratory Coordinates 8.7 Cross and Plus Polarised Waves 8.8 Gravitational Wave Detection 8.9 Differential Interferometry 8.10 Summary of Gravitational Waves 8.11 Problems 151 151 152 152 155 157 158 160 162 166 174 175
Contents x 9 A Guide to Further Reading 9.1 9.2 9.3 9.4 Epilogue Books for Ongoing Study Other Conventions in Tensor Analysis Where from Here? References Index 179 179 179 180 187 192 195 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Daw, Ed 1969- |
| author_GND | (DE-588)1290653399 |
| author_facet | Daw, Ed 1969- |
| author_role | aut |
| author_sort | Daw, Ed 1969- |
| author_variant | e d ed |
| building | Verbundindex |
| bvnumber | BV049024787 |
| classification_rvk | UH 8300 |
| ctrlnum | (OCoLC)1398623652 (DE-599)BVBBV049024787 |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV049024787</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240110</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">230628s2023 a||| b||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009242431</subfield><subfield code="c">Hardback</subfield><subfield code="9">978-1-009-24243-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781009242448</subfield><subfield code="c">Paperback</subfield><subfield code="9">978-1-009-24244-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1398623652</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV049024787</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UH 8300</subfield><subfield code="0">(DE-625)145781:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Daw, Ed</subfield><subfield code="d">1969-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1290653399</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A general relativity coursebook</subfield><subfield code="c">Ed Daw, University of Sheffield</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xii, 197 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Allgemeine Relativitätstheorie</subfield><subfield code="0">(DE-588)4112491-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">General relativity (Physics) / Textbooks</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Equivalence principle (Physics)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">Equivalence principle (Physics)</subfield></datafield><datafield tag="653" ind1=" " ind2="0"><subfield code="a">General relativity (Physics)</subfield></datafield><datafield tag="653" ind1=" " ind2="6"><subfield code="a">Textbooks</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Allgemeine Relativitätstheorie</subfield><subfield code="0">(DE-588)4112491-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-1-009-24247-9</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034287612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-034287612</subfield></datafield></record></collection> |
| id | DE-604.BV049024787 |
| illustrated | Illustrated |
| index_date | 2024-07-03T22:14:47Z |
| indexdate | 2024-10-07T12:01:23Z |
| institution | BVB |
| isbn | 9781009242431 9781009242448 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034287612 |
| oclc_num | 1398623652 |
| open_access_boolean | |
| owner | DE-703 DE-20 |
| owner_facet | DE-703 DE-20 |
| physical | xii, 197 Seiten Illustrationen |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Daw, Ed 1969- Verfasser (DE-588)1290653399 aut A general relativity coursebook Ed Daw, University of Sheffield Cambridge Cambridge University Press 2023 xii, 197 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf General relativity (Physics) / Textbooks Equivalence principle (Physics) General relativity (Physics) Textbooks Allgemeine Relativitätstheorie (DE-588)4112491-1 s DE-604 Erscheint auch als Online-Ausgabe 978-1-009-24247-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034287612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Daw, Ed 1969- A general relativity coursebook Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4112491-1 |
| title | A general relativity coursebook |
| title_auth | A general relativity coursebook |
| title_exact_search | A general relativity coursebook |
| title_exact_search_txtP | A general relativity coursebook |
| title_full | A general relativity coursebook Ed Daw, University of Sheffield |
| title_fullStr | A general relativity coursebook Ed Daw, University of Sheffield |
| title_full_unstemmed | A general relativity coursebook Ed Daw, University of Sheffield |
| title_short | A general relativity coursebook |
| title_sort | a general relativity coursebook |
| topic | Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Allgemeine Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034287612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dawed ageneralrelativitycoursebook |