Introduction to general relativity:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Mac Graw-Hill
1975
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | International series in pure and applied physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 549 S. |
| ISBN: | 0070004234 |
Internformat
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Datensatz im Suchindex
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| adam_text | INTRODUCTION TO GENERAL RELATIVITY RONALD ADLER INSTITO DE FISICA
UNIVERSIDADE FEDERAL DE PEMAMBUCO RECIFE, BRAZIL MAURICE BAZIN
DEPARTMENT OF PHYSICS RUTGERS UNIVERSITY MENAHEM SCHIFFER DEPARTMENT OF
MATHEMATICS STANFORD UNIVERSITY SECOND EDITION INTERNATIONAL STUDENT
EDITION MCGRAW-HILL KOGAKUSHA, LTD. TOKYO AUCKLAND BEIRUT BOGOTA
DUSSELDORF JOHANNESBURG LISBON LONDON LUCERNE MADRID MEXICO NEW DELHI
PANAMA PARIS SAN JUAN SAO PAULO SINGAPORE SYDNEY CONTENTS PREFACE TO THE
SECOND EDITION XI PREFACE TO THE FIRST EDITION ZIII INTRODUCTION 1 1.
PHYSICS AND GEOMETRY 1 2. THE CHOICE OF RIEMANNIAN GEOMETRY 7 CHAPTER
TENSOR ALGEBRA 17 1 1.1 DEFINITION OF SCALARS, CONTRAVARIANT VECTORS,
AND COVARIANT VECTORS 18 1.2 EINSTEIN S SUMMATION CONVENTION 20 1.8
DEFINITIONS OF TENSORS 21 14 TENSO R ALGEBRA 24 L.O DECOMPOSITION OF A
TENSOR INTO A SUM OF VECTOR PRODUCTS 25 1.6 CONTRACTION OF INDICES 28
1.7 THE QUOTIENT THEOREM 29 1.8 LOWERING AND RAISING OF
INDICES*ASSOCIATED TENSORS SO 1.9 CONNECTION WITH VECTOR CALCULUS IN
EUCLIDEAN SPACE 32 1.10 CONNECTION BETWEEN BILINEAR FORMS AND TENSOR
CALCULUS 36 V I CONTENTS CHAPTER VECTOR FIELDS IN AFFINE AND RIEMANN
SPACE 41 CHAPTER 3 CHAPTER 4 CHAPTER 2.1 2.2 2.3 2.4 8.1 3.2 3.3 8.4 8.5
8.6 3.7 4-1 4.2 4.3 44 VECTOR TRANSPLANTATION AND AFFINE CONNECTIONS
PARALLEL DISPLACEMENT*CHRISTOFFEL SYMBOLS GEODESIES IN AFFINE AND
RIEMANN SPACE GAUSSIAN COORDINATES TENSOR ANALYSIS COVARIANT
DIFFERENTIATION APPLICATIONS OF TENSOR ANALYSIS SYMMETRIC AND
ANTISYMMETRIC TENSORS CLOSED AND EXACT TENSORS TENSOR DENSITIES*DUAL
TENSORS VECTOR FIELDS ON CURVES INTRINSIC SYMMETRIES AND KILLING VECTORS
TENSORS IN PHYSICS MAXWELL S EQUATIONS IN TENSOR FORM PROPER-TIME AND
THE EQUATIONS OF MOTION VIA AN EXAMPLE IN RELATIVISTIC MECHANICS GRAVITY
AS A METRIC PHENOMENON THE RED SHIFT THE GRAVITATIONAL 42 50 53 61 67 67
75 80 87 90 94 98 105 105 120 131 135 FIELD EQUATIONS IN FREE SPACE 145
5.1 CRITERIA FOR THE FIELD EQUATIONS 14& 5.2 THE RIEMANN CURVATURE
TENSOR 147 5.3 SYMMETRY PROPERTIES OF THE RIEMANN TENSOR 151 5.4 THE
BIANCHI IDENTITIES 165 5.5 INTEGRABILITY AND THE RIEMANN TENSOR 167
CONTENTS VII 5.6 PSEUDO-EUCLIDEAN AND FLAT SPACES 162 5.7 TH E EINSTEIN
FIELD EQUATIONS FOR FREE SPACE 167 5.8 THE DIVERGENCELESS FORM OF THE
EINSTEIN FIELD EQUATIONS 170 5.9 THE RIEMANN TENSOR AND FIELDS OF
GEODESIES 171 5.10 ALGEBRAIC PROPERTIES OF THE RIEMANN TENSOR 176
CHAPTER THE SCH WAR Z S CHI LD SOLUTION AND ITS CONSEQUENCES: EXPERI-
MENTAL TESTS OF GENERAL RELATIVITY 6.1 THE SCHWARZSCHILD SOLUTION 6.2
THE SCHWARZSCHILD SOLUTION IN ISOTROPIC COORDINATES 6.3 THE GENERAL
RELATIVISTIC KEPLER PROBLEM AND THE PERIHELIC SHIFT OF MERCURY 6.4 THE
SUN S QUADRUPOLE MOMENT AND PERIHELIC MOTION 6.5 THE TRAJECTORY OF A
LIGHT RAY IN A SCHWARZSCHILD FIELD 6.6 TRAVEL TIME OF LIGHT IN A
SCHWARZSCHILD FIELD 6.7 NULL GEODESIES AND FERMAT S PRINCIPLE 6.8 THE
SCHWARZSCHILD RADIUS, KRUSKAL COORDINATES, AND THE BLACK HOLE 185 185
196 199 214 219 CHAPTER THE KERB SOLUTION 7.1 EDDINGTON S FORM OF THE
SCHWARZSCHILD SOLUTION 7.2 EINSTEIN S EQUATIONS FOR DEGENERATE METRICS
7.3 THE ORDER M 2 EQUATIONS 7.4 FIELD EQUATIONS FOR THE STATIONARY CASE
7.5 THE SCHWARZSCHILD AND KERR SOLUTIONS 7.6 OTHER COORDINATES 7.7 THE
KERR SOLUTION AND ROTATION 237 287 238 241 250 258 VIII CONTENTS 7.8
DISTINGUISHED SURFACES AND THE ROTATING BLACK HOLE 7.9 EFFECTIVE
POTENTIALS AND BLACK HOLE ENERGETICS 266 8 CHAPTER THE MATHEMATICAL
STRUCTURE OF THE EINSTEIN DIFFERENTIAL SYSTEM; THE PROBLEM OF CAUCHY 275
8.1 FORMULATION OF THE INITIAL-VALUE PROBLEM 276 8.2 STRUCTURE OF
EINSTEIN S EQUATIONS 276 8.8 SEPARATION OF THE CAUCHY PROBLEM INTO TWO
PARTS 281 84 CHARACTERISTIC HYPERSURFACES OF THE EINSTEIN EQUATION
SYSTEM 284 8.5 BICHARACTERISTIC S OF THE EINSTEIN SYSTEM 285 8.6
UNIQUENESS PROBLEM FOR THE EINSTEIN EQUATIONS 289 8.7 THE MAXIMUM
PRINCIPLE FOR THE GENERALIZED LAPLACE EQUATION 295 CHAPT 9 CHAPT 10 T ER
9.1 9.2 9.3 94 9.5 ER 10.1 10.2 THE LINEARIZED FIELD EQUATIONS
LINEARIZATION OF THE FIELD EQUATIONS THE TIME-INDEPENDENT AND
SPHERICALLY SYMMETRIC FIELD THE WEYL SOLUTIONS TO THE LINEARIZED FIELD
EQUATIONS STRUCTURE OF THE LINEARIZED EQUATIONS GRAVITATIONAL WAVES THE
GRAVITATIONAL FIELD EQUATIONS FOR NONEMPTY SPACE THE ENERGY-MOMENTUM
TENSOR INCLUSION OF FORCES IN T 301 801 305 309 314 317 329 330 834
CONTENTS I X 10.3 THE ELECTROMAGNETIC FIELD AND T* 338 104 TH E FIELD
EQUATIONS IN NONEMPTY SPACE 344 10.5 CLASSICAL LIMIT OF THE
GRAVITATIONAL EQUATIONS 345 CHAPTER FURTHER CONSEQUENCES OF THE FIELD
EQUATIONS 351 11 11.1 THE EQUATIONS OF MOTION 361 11.2 CONSERVATION LAWS
IN GENERAL RELATIVITY: ENERGY-MOMENTUM OF THE GRAVITATIONAL FIELD 364
11.3 AN ALTERNATIVE APPROACH TO THE CONSERVATION LAWS: ENERGY-MOMENTUM
OF THE SCHWARZSCHILD FIELD 366 114 VARIATIONAL PRINCIPLES IN GENERAL
RELATIVITY THEORY: A LAGRANGIAN DENSITY FOR THE GRAVITATIONAL FIELD 376
11.5 THE SCALAR TENSOR VARIATION OF RELATIVITY THEORY 380 CHAPTER 12
DESCRIPTIVE ASTRONOMY COSMIC 12.1 OBSERVATIONAL BACKGROUND 12.2 THE
MATHEMATICAL PROBLEM IN OUTLINE 12.3 THE ROBERTSON-WALKER METRIC 12.4
FURTHER PROPERTIES OF THE ROBERTSON-WALKER METRIC 12.6 THE RED SHIFT AND
THE ROBERTSON-WALKER METRIC: HUBBLE S LAW 12.6 THE APPARENT
MAGNITUDE-RED SHIFT RELATION 389 390 395 400 408 412 415 CHAPTER
COSMOLOGICAL MODELS 425 18.1 EINSTEIN S EQUATIONS AND THE ROBERTSON-
WALKER METRIC 45 13.2 STATIC MODELS OF THE UNIVERSE 428 13 CONTENTS
13.3 NONSTATIC MODELS OF THE UNIVERSE 431 18.4 THE GODEL SOLUTION AND
MACH S PRINCIPLE 487 13.5 THE STEADY-STATE MODEL OF THE UNIVERSE 448
13.6 CONVERSE OF THE APPARENT MAGNITUDE-RED SHIFT PROBLEM 454 CHAPTER 14
14.1 14.2 14.8 144 THE ROLE OF RELATIVITY IN STELLAR STRUCTURE AND
GRAVITATIONAL COLLAPSE 461 RELATIVISTIC STELLAR STRUCTURE 462 A SIMPLE
STELLAR MODEL*THE INTERIOR SCHWARZSCHILD SOLUTION 468 STELLAR MODELS AND
STABILITY 476 GRAVITATIONAL COLLAPSE OF A DUST BALL 478 CHAPTER 15
ELECTROMAGNETIS M AND GENERAL RELATIVITY 485 15.1 THE FIELD OF A CHARGED
MASS POINT 486 15.2 WEYL S GENERALIZATION OF RIEMANNIAN GEOMETRY 491
15.3 WEYL S THEORY OF ELECTROMAGNETISM 500 154 SOME MATHEMATICAL
MACHINERY 507 15.5 THE EQUATIONS OF RAINICH, MISNER, AND WHEELER 518
INDEX 585
|
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| author | Adler, Ronald Bazin, Maurice 1934- Schiffer, Menahem 1911-1997 |
| author_GND | (DE-588)142423793 (DE-588)141736240 (DE-588)1026135087 |
| author_facet | Adler, Ronald Bazin, Maurice 1934- Schiffer, Menahem 1911-1997 |
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| discipline | Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T15:42:39Z |
| institution | BVB |
| isbn | 0070004234 |
| language | English |
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| spelling | Adler, Ronald Verfasser (DE-588)142423793 aut Introduction to general relativity Ronald Adler ; Maurice Bazin ; Menahem Schiffer 2. ed. New York [u.a.] Mac Graw-Hill 1975 XIV, 549 S. txt rdacontent n rdamedia nc rdacarrier International series in pure and applied physics Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Allgemeine Relativitätstheorie (DE-588)4112491-1 s Gravitationstheorie (DE-588)4158117-9 s DE-604 Bazin, Maurice 1934- Verfasser (DE-588)141736240 aut Schiffer, Menahem 1911-1997 Verfasser (DE-588)1026135087 aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001473793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Adler, Ronald Bazin, Maurice 1934- Schiffer, Menahem 1911-1997 Introduction to general relativity Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4158117-9 (DE-588)4151278-9 |
| title | Introduction to general relativity |
| title_auth | Introduction to general relativity |
| title_exact_search | Introduction to general relativity |
| title_full | Introduction to general relativity Ronald Adler ; Maurice Bazin ; Menahem Schiffer |
| title_fullStr | Introduction to general relativity Ronald Adler ; Maurice Bazin ; Menahem Schiffer |
| title_full_unstemmed | Introduction to general relativity Ronald Adler ; Maurice Bazin ; Menahem Schiffer |
| title_short | Introduction to general relativity |
| title_sort | introduction to general relativity |
| topic | Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Gravitationstheorie (DE-588)4158117-9 gnd |
| topic_facet | Allgemeine Relativitätstheorie Gravitationstheorie Einführung |
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