Bryce DeWitt's lectures on gravitation:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
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| Series: | Lecture notes in physics
826 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 287 S. graph. Darst. |
| ISBN: | 9783540369097 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
CONTENTS
1 REVIEW OF THE USES OF INVARIANTS IN SPECIAL RELATIVITY 1
1.1 RELATIVE VELOCITY 1
1.2 DOPPLER SHIFT 2
1.3 ABERRATION 4
1.3.1 CONSISTENCY CHECK 5
1.4 APPARENT LUMINOSITY 9
2 ACCELERATED MOTION IN SPECIAL RELATIVITY 13
2.1 ACCELERATED METER STICK 20
2.2 RIGID MOTIONS IN SPECIAL RELATIVITY 21
2.3 FERMI-WALKER TRANSPORT 26
2.4 FLAT PROPER GEOMETRY 30
2.5 CONSTANT ROTATION ABOUT A FIXED AXIS 32
2.6 IRROTATIONAL FLOW 36
3 REALIZATIONS OF CONTINUOUS GROUPS 39
3.1 REPRESENTATIONS 43
3.2 DIFFEOMORPHISM GROUP 44
3.3 TENSORS AND TENSOR DENSITIES 46
3.4 BITENSORS, TRITENSORS, AND N-TENSORS 48
4 RIEMANNIAN MANIFOLDS 51
4.1 LOCAL PARALLELISM 52
4.2 PARALLEL DISPLACEMENT OF TENSORS 54
4.3 COVARIANT DIFFERENTIATION 55
4.4 TENSOR PROPERTIES OF THE LIE DERIVATIVE 57
4.5 THE CURVATURE TENSOR 58
4.6 -BEINS, TETRADS AND FLAT MANIFOLDS 61
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002586615
DIGITALISIERT DURCH
IMAGE 2
X CONTENTS
5 THE FREE PARTICLE. GEODESIES 63
5.1 ISOMETRIES AND CONSERVATION LAWS 67
5.2 GEODESIC DEVIATION 68
6 WEAK FIELD APPROXIMATION. NEWTON S THEORY 71
7 ENSEMBLES OF PARTICLES 79
7.1 GASES AT EQUILIBRIUM 90
8 PRODUCTION OF GRAVITATIONAL FIELDS BY MATTER 95
8.1 ENERGY-MOMENTUM DENSITY OF A FREE PARTICLE 98
8.2 THE WEAK FIELD APPROXIMATION 99
8.3 ENERGY-MOMENTUM-STRESS DENSITY OF A GAS AT EQUILIBRIUM 103
9 CONSERVATION LAWS 105
9.1 ENERGY, MOMENTUM, ANGULAR MOMENTUM AND SPIN 108
10 PHENOMENOLOGICAL DESCRIPTION OF A CONSERVATIVE CONTINUOUS MEDIUM ILL
10.1 THE ELASTIC MEDIUM 120
10.2 THE VISCOUS THERMALLY CONDUCTING GAS 122
11 SOLUBILITY OF THE EINSTEIN AND MATTER EQUATIONS 127
11.1 THE COSMOLOGICAL CONSTANT 131
12 ENERGY, MOMENTUM AND STRESS IN THE GRAVITATIONAL FIELD 133 12.1
CONDENSED NOTATION 133
12.2 VARIATION OF THE ACTION 134
12.3 ASYMPTOTIC STATIONARY GRAVITATIONAL FIELDS IN THE FULL NONLINEAR
THEORY 138
12.4 NEWTONIAN APPROXIMATION 148
13 MEASUREMENT OF ASYMPTOTIC FIELDS 151
14 THE ELECTROMAGNETIC FIELD 161
14.1 ELECTROMAGNETIC WAVES 166
14.2 ENERGY, MOMENTUM, AND ANGULAR MOMENTUM IN ELECTROMAGNETIC WAVES 172
15 GRAVITATIONAL WAVES 177
15.1 EIKONAL APPROXIMATION 186
15.2 LINES-OF-FORCE REPRESENTATION AND CIRCULARLY POLARIZED WAVES 196
IMAGE 3
CONTENTS XI
15.3 ENERGY, MOMENTUM, AND ANGULAR MOMENTUM IN GRAVITATIONAL WAVES 197
15.4 WEAK RADIATION IN FLAT SPACETIME 201
15.5 GENERATION OF GRAVITATIONAL WAVES 204
APPENDIX A: SPINNING BODIES 219
APPENDIX B: WEAK FIELD GRAVITATIONAL WAVE 247
APPENDIX C: STATIONARY SPHERICALLY
(OR ROTATIONALLY) SYMMETRIC METRIC 251
APPENDIX D: KERR METRIC SUBCALCULATIONS 271
APPENDIX E: FRIEDMANN COSMOLOGY 275
APPENDIX F: DYNAMICAL EQUATIONS AND DIFFEOMORPHISMS 283
|
| any_adam_object | 1 |
| author | DeWitt, Bryce S. 1923-2004 |
| author2 | Christensen, Steven M. |
| author2_role | edt |
| author2_variant | s m c sm smc |
| author_GND | (DE-588)133660664 |
| author_facet | DeWitt, Bryce S. 1923-2004 Christensen, Steven M. |
| author_role | aut |
| author_sort | DeWitt, Bryce S. 1923-2004 |
| author_variant | b s d bs bsd |
| building | Verbundindex |
| bvnumber | BV037307964 |
| classification_rvk | UD 8220 |
| ctrlnum | (OCoLC)712509999 (DE-599)BVBBV037307964 |
| dewey-full | 530.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14 |
| dewey-search | 530.14 |
| dewey-sort | 3530.14 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV037307964 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:21:44Z |
| institution | BVB |
| isbn | 9783540369097 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022462464 |
| oclc_num | 712509999 |
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| owner | DE-11 DE-634 DE-384 |
| owner_facet | DE-11 DE-634 DE-384 |
| physical | XI, 287 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | DeWitt, Bryce S. 1923-2004 Verfasser (DE-588)133660664 aut Bryce DeWitt's lectures on gravitation ed. by Steven M. Christensen Lectures on gravitation Berlin [u.a.] Springer 2011 XI, 287 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 826 Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 s DE-604 Christensen, Steven M. edt Erscheint auch als Online-Ausgabe 978-3-540-36911-0 Lecture notes in physics 826 (DE-604)BV000003166 826 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022462464&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | DeWitt, Bryce S. 1923-2004 Bryce DeWitt's lectures on gravitation Lecture notes in physics Gravitationstheorie (DE-588)4158117-9 gnd |
| subject_GND | (DE-588)4158117-9 |
| title | Bryce DeWitt's lectures on gravitation |
| title_alt | Lectures on gravitation |
| title_auth | Bryce DeWitt's lectures on gravitation |
| title_exact_search | Bryce DeWitt's lectures on gravitation |
| title_full | Bryce DeWitt's lectures on gravitation ed. by Steven M. Christensen |
| title_fullStr | Bryce DeWitt's lectures on gravitation ed. by Steven M. Christensen |
| title_full_unstemmed | Bryce DeWitt's lectures on gravitation ed. by Steven M. Christensen |
| title_short | Bryce DeWitt's lectures on gravitation |
| title_sort | bryce dewitt s lectures on gravitation |
| topic | Gravitationstheorie (DE-588)4158117-9 gnd |
| topic_facet | Gravitationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022462464&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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