Classical measurements in curved space-times:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Pr.
2010
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on mathematical physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 309 S. graph. Darst. |
| ISBN: | 9780521889308 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE PAGE XI
NOTATION XII
1 INTRODUCTION 1
1.1 OBSERVERS AND PHYSICAL MEASUREMENTS 1
1.2 INTERPRETATION OF PHYSICAL MEASUREMENTS 2
1.3 CLOCK SYNCHRONIZATION AND RCLATIVITY OF TIME 2
2 THE THEORY OF RELATIVITY: A MATHEMATICAL OVERVIEW 11
2.1 THE SPACE-TIME 11
2.2 DERIVATIVES ON A MANIFOLD 17
2.3 KILLING SYMMETRIES 27
2.4 PCTROV CLASSIFICATION 28
2.5 EINSTEIN S EQUATIONS 28
2.6 EXACT SOLUTIONS 29
3 SPACE-TIME SPLITTING 34
3.1 ORTHOGONAL DECOMPOSITIONS 34
3.2 THREE-DIMENSIONAL NOTATION 39
3.3 KINEMATICS OF THE OBSERVER S CONGRUENCE 41
3.4 ADAPTED FRARAES 41
3.5 COMPARING FAMILIES OF OBSERVERS 48
3.6 SPLITTING OF DERIVATIVES ALONG A TIME-LIKE CURVE 53
4 SPECIAL FRAMES 59
4.1 ORTHONORMAL FRAMES 59
4.2 NULL FRAMES 69
5 THE WORLD FUNCTION 74
5.1 THE CONNECTOR 75
5.2 MATHEMATICAL PROPERTIES OF THE WORLD FUNCTION 77
5.3 THE WORLD FUNCTION IN FERMI COORDINATES 80
5.4 THE W R ORLD FUNCTION IN DE SITTER SPACE-TIME 82
5.5 THE WORLD FUNCTION IN GOEDEL SPACE-TIME 84
5.6 THE WORLD FUNCTION OF A WEAK GRAVITATIONAL WAVE 87
IMAGE 2
VIII CONTENTS
5.7 APPLICATIONS OF THE WORLD FUNCTION: GPS OR EMISSION COORDINATES 88
6 LOCAL M E A S U R E N I E N TS 91
6.1 MEASURENIENTS OF TIME INTERVALS AND SPACE DISTANCES 91
6.2 MEASURENIENTS OF ANGLES 95
6.3 MEASURENIENTS OF SPATIAL VELOCITIES 96
6.4 COMPOSITION OF VELOCITIES 97
6.5 MEASUREMENTS OF ENERGY AND MOMENTUM 99
6.6 MEASUREMENTS OF FREQUENCIES 99
6.7 MEASUREMENTS OF ACCELERATION 102
6.8 ACCELERATION CHANGE UNDER OBSERVER TRANSFORMATIONS 108
6.9 KINEMATICAL TENSOR CHANGE UNDER OBSERVER TRANSFORMATIONS 108 6.10
MEASUREMENTS OF ELECTRIC AND MAGNETIC FIELDS 111
6.11 LOCAL PROPERTIES OF AN ELECTROMAGNETIC FIELD 113
6.12 TIME-PLUS-SPACE (1 + 3) FORM OF MAXWELL S EQUATIONS 115
6.13 GRAVITOELECTROMAGNCTISM 115
6.14 PHYSICAL PROPERTIES OF FLUIDS 116
7 NON-LOCAL M E A S U R E M E N TS 126
7.1 MEASUREMENT OF THE SPACE-TIME CURVATURE 126
7.2 VACUUM EINSTEIN S EQUATIONS IN 1+3 FORM 129
7.3 DIVERGENCE OF THE WEYL TENSOR IN 1+3 FORM 130
7.4 ELECTRIC AND MAGNETIC PARTS OF THE WEYL TENSOR 131
7.5 THE BEL-ROBINSON TENSOR 132
7.6 MEASUREMENT OF THE ELECTRIC PART OF THE RIEMANN TENSOR 135
7.7 MEASUREMENT OF THE MAGNETIC PART OF THE RIEMANN TENSOR 141
7.8 CURVATURE CONTRIBUTIONS TO SPATIAL VELOCITY 143
7.9 CURVATURE CONTRIBUTIONS TO THE MEASUREMENTS OF ANGLES 149
8 OBSERVERS IN PHYSICALLY RELEVANT SPACE-TIMES 152
8.1 SCHWARZSCHILD SPACE-TIME 152
8.2 SPECIAL OBSERVERS IN SCHWARZSCHILD SPACE-TIME 156
8.3 KCRR SPACE-TIME 165
8.4 SPECIAL OBSERVERS IN KERR SPACE-TIME 169
8.5 GRAVITATIONAL PLANE-WAVE SPACE-TIME 184
9 M E A S U R E M E N TS IN PHYSICALLY RELEVANT SPACE-TIMES 186
9.1 MEASUREMENTS IN SCHWARZSCHILD SPACE-TIME 186
9.2 THC PROBLEM OF SPACE NAVIGATION 194
9.3 MEASUREMENTS IN KERR SPACE-TIME 199
9.4 RELATIVISTIC THRUST ANOMALY 206
9.5 MEASUREMENTS OF BLACK-HOLE PARAMETERS 212
IMAGE 3
CONTENTS IX
9.6 GRAVITAETIONALLY INDUCED TIME DELAY 215
9.7 RAY-TRACING IN KERR SPACE-TIME 218
9.8 HIGH-PRECISION ASTROMETRY 225
10 MEASUREMENTS OF SPINNING BODIES 231
10.1 BEHAVIOR OF SPIN IN GENERAL SPACE-TIMES 231
10.2 MOTION OF A TEST GYROSCOPE IN A WEAK GRAVITATIONAL FICLD 237
10.3 MOTION OF A TEST GYROSCOPE IN SCHWARZSCHILD SPACE-TIME 239
10.4 MOTION OF A SPINNING BODY IN SCHWARZSCHILD SPACE-TIME 241
10.5 MOTION OF A TEST GYROSCOPE IN KERR SPACE-TIME 247
10.6 MOTION OF A SPINNING BODY IN KERR SPACE-TIME 248
10.7 GRAVITATIONAL WAVES AND THE COMPASS OF INERTIA 255
10.8 MOTION OF AN EXTENDED BODY IN A GRAVITATIONAL WAVE SPACE-TIMC 261
EPILOGUE 265
EXERCISES 267
REFERENCES 299
INDEX 305
|
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| author | De Felice, Fernando 1943- Bini, Donato 1963- |
| author_GND | (DE-588)134166043 (DE-588)133761967 |
| author_facet | De Felice, Fernando 1943- Bini, Donato 1963- |
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| author_sort | De Felice, Fernando 1943- |
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| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV036776540 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:51Z |
| institution | BVB |
| isbn | 9780521889308 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020693287 |
| oclc_num | 699680696 |
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| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-703 |
| physical | IX, 309 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge Univ. Pr. |
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| series2 | Cambridge monographs on mathematical physics |
| spelling | De Felice, Fernando 1943- Verfasser (DE-588)134166043 aut Classical measurements in curved space-times Fernando de Felice ; Donato Bini 1. publ. Cambridge Cambridge Univ. Pr. 2010 IX, 309 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mathematical physics Messung (DE-588)4038852-9 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 s Messung (DE-588)4038852-9 s DE-604 Bini, Donato 1963- Verfasser (DE-588)133761967 aut OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020693287&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | De Felice, Fernando 1943- Bini, Donato 1963- Classical measurements in curved space-times Messung (DE-588)4038852-9 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| subject_GND | (DE-588)4038852-9 (DE-588)4049363-5 |
| title | Classical measurements in curved space-times |
| title_auth | Classical measurements in curved space-times |
| title_exact_search | Classical measurements in curved space-times |
| title_full | Classical measurements in curved space-times Fernando de Felice ; Donato Bini |
| title_fullStr | Classical measurements in curved space-times Fernando de Felice ; Donato Bini |
| title_full_unstemmed | Classical measurements in curved space-times Fernando de Felice ; Donato Bini |
| title_short | Classical measurements in curved space-times |
| title_sort | classical measurements in curved space times |
| topic | Messung (DE-588)4038852-9 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| topic_facet | Messung Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020693287&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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