The geometry of spacetime: an introduction to special and general relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2000
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 451 S. Ill., graph. Darst. |
| ISBN: | 0387986413 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804127491171811328 |
|---|---|
| adam_text | JAMES J. CALLAHAN
THE GEOMETRY
OF SPACETIME
AN INTRODUCTION TO SPECIAL
AND GENERAL RELATIVITY
WITH 218 ILLUSTRATIONS
SPRINGER
CONTENTS
PREFACE
VN
1 RELATIVITY BEFORE 1905 1
1.1 SPACETIME 1
1.2 GALILEAN TRANSFORMATIONS 9
1.3 THE MICHELSON-MORLEY EXPERIMENT 15
1.4 MAXWELL S EQUATIONS 22
2 SPECIAL RELATIVITY*KINEMATICS 31
2.1 EINSTEIN S SOLUTION 31
2.2 HYPERBOLIC FUNCTIONS 43
2.3 MINKOWSKI GEOMETRY 49
2.4 PHYSICAL CONSEQUENCES 73
3 SPECIAL RELATIVITY*KINETICS 87
3.1 NEWTON S LAWS OF MOTION 87
3.2 CURVES AND CURVATURE 108
3.3 ACCELERATED MOTION 123
XV
XVI
CONTENTS
4 ARBITRARY FRAMES 143
4.1 UNIFORM ROTATION 144
4.2 LINEAR ACCELERATION 155
4.3 NEWTONIAN GRAVITY 167
4.4 GRAVITY IN SPECIAL RELATIVITY 188
5 SURFACES AND CURVATURE 203
5.1 THE METRIC 203
5.2 INTRINSIC GEOMETRY ON THE SPHERE 221
5.3 DE SITTER SPACETIME 230
5.4 CURVATURE OF A SURFACE 241
6 INTRINSIC GEOMETRY 257
6.1 THEOREMA EGREGIUM 257
6.2 GEODESIES 268
6.3 CURVED SPACETIME 277
6.4 MAPPINGS 292
6.5 TENSORS 307
7 GENERAL RELATIVITY 329
7.1 THE EQUATIONS OF MOTION 330
7.2 THE VACUUM FIELD EQUATIONS 344
7.3 THE MATTER FIELD EQUATIONS 366
8 CONSEQUENCES 385
8.1 THE NEWTONIAN APPROXIMATION 386
8.2 SPHERICALLY SYMMETRIC FIELDS 396
8.3 THE BENDING OF LIGHT 413
8.4 PERIHELION DRIFT 421
BIBLIOGRAPHY 435
INDEX 439
|
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| author | Callahan, James J. |
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| discipline | Physik Mathematik |
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| isbn | 0387986413 |
| language | English |
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| spelling | Callahan, James J. Verfasser (DE-588)142767832 aut The geometry of spacetime an introduction to special and general relativity James J. Callahan New York [u.a.] Springer 2000 XVI, 451 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Allgemeine Relativitätstheorie Spezielle Relativitätstheorie Mathematische Physik Algebras, Linear Calculus of variations Mathematical physics Relativity Physics Space and time Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Raum (DE-588)4048561-4 gnd rswk-swf Zeit (DE-588)4067461-7 gnd rswk-swf Raum (DE-588)4048561-4 s Zeit (DE-588)4067461-7 s DE-604 Relativitätstheorie (DE-588)4049363-5 s Raum-Zeit (DE-588)4302626-6 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008718439&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Callahan, James J. The geometry of spacetime an introduction to special and general relativity Allgemeine Relativitätstheorie Spezielle Relativitätstheorie Mathematische Physik Algebras, Linear Calculus of variations Mathematical physics Relativity Physics Space and time Relativitätstheorie (DE-588)4049363-5 gnd Raum-Zeit (DE-588)4302626-6 gnd Raum (DE-588)4048561-4 gnd Zeit (DE-588)4067461-7 gnd |
| subject_GND | (DE-588)4049363-5 (DE-588)4302626-6 (DE-588)4048561-4 (DE-588)4067461-7 |
| title | The geometry of spacetime an introduction to special and general relativity |
| title_auth | The geometry of spacetime an introduction to special and general relativity |
| title_exact_search | The geometry of spacetime an introduction to special and general relativity |
| title_full | The geometry of spacetime an introduction to special and general relativity James J. Callahan |
| title_fullStr | The geometry of spacetime an introduction to special and general relativity James J. Callahan |
| title_full_unstemmed | The geometry of spacetime an introduction to special and general relativity James J. Callahan |
| title_short | The geometry of spacetime |
| title_sort | the geometry of spacetime an introduction to special and general relativity |
| title_sub | an introduction to special and general relativity |
| topic | Allgemeine Relativitätstheorie Spezielle Relativitätstheorie Mathematische Physik Algebras, Linear Calculus of variations Mathematical physics Relativity Physics Space and time Relativitätstheorie (DE-588)4049363-5 gnd Raum-Zeit (DE-588)4302626-6 gnd Raum (DE-588)4048561-4 gnd Zeit (DE-588)4067461-7 gnd |
| topic_facet | Allgemeine Relativitätstheorie Spezielle Relativitätstheorie Mathematische Physik Algebras, Linear Calculus of variations Mathematical physics Relativity Physics Space and time Relativitätstheorie Raum-Zeit Raum Zeit |
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