Equations of motion in general relativity:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford University Press
2011
|
| Edition: | 1. publ. |
| Series: | International series of monographs on physics
148 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 153 S. graph. Darst. |
| ISBN: | 9780199584109 |
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| 245 | 1 | 0 | |a Equations of motion in general relativity |c H. Asada ; T. Futamase ; P. A. Hogan |
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| 264 | 1 | |a Oxford [u.a.] |b Oxford University Press |c 2011 | |
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Record in the Search Index
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| adam_text | Titel: Equations of motion in general relativity
Autor: Asada, Hideki
Jahr: 2011
Contents
1 Introduction 1
1.1 Equations of motion of extended bodies 1
1.2 Equations of motion of small black holes 2
2 Foundations of the post-Newtonian approximation 5
2.1 Setting the scene 5
2.2 Newtonian limit and asymptotic Newtonian sequence 6
2.3 Post-Newtonian hierarchy 8
2.4 A calculation using harmonic coordinates 10
2.5 The strong field point particle limit 13
2.6 Surface integrals and body zone 15
2.7 Scalings on the initial hypersurface 16
2.8 Newtonian equations for extended bodies 17
2.9 Einstein s field equations 19
2.10 Near zone and body zone contributions 21
2.11 Lorentz contraction and multipole moments 26
2.12 General form of the equations of motion 27
2.13 Remarks on the arbitrary constant Ra 28
2.14 The Newtonian and 1PN equations of motion 29
2.15 A comment on body zone boundary dependent terms 33
3 The third post-Newtonian approximation 35
3.1 Super-potential versus surface integrals 35
3.2 3PN mass-energy relation 38
3.3 The meaning of P^ 40
3.4 3PN momentum-velocity relation 41
3.5 3PN equations of motion with log terms 43
3.6 The arbitrary constant eRa 44
3.7 Final form of 3PN equations of motion 46
3.8 Observations and comments 52
4 Two-body problem in general relativity 55
4.1 Equations of motion for a binary System 55
4.2 Periastron advance 56
4.3 Light-like signals: Shapiro time delay 62
4.4 Orbital period decay via gravitational radiation 65
4.5 Perturbations of contact elements 67
4.6 Perturbations of osculating elements 71
4.7 Perturbations due to gravitational radiation reaction 72
x Contents
4.8 Derivations by balanee arguments 74
4.9 Spin effects 78
5 Small black holes: geometrical preliminaries 81
5.1 The Fermi property of the background 81
5.2 The line-element of the background 86
5.3 The field equations near r = 0 88
6 Small charged black holes: equations of motion 93
6.1 Black hole as perturbation of background 93
6.2 The vacuum Einstein-Maxwell field equations 95
6.3 The equations of motion 102
6.4 Observations and prospects 104
7 Gravitational physics of few-body Systems 107
7.1 Choreographie Solutions for the N-body problem 107
7.2 Gravitational waves from few-body Systems 109
7.3 General relativistic figure-eight Solution 112
Appendix A Far zone contribution 119
Appendix B Effects of extendedness of stars 125
Appendix C Null geodesic congruences 133
Appendix D Perturbed field equations 137
References 143
Index 151
|
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| author | Asada, Hideki Futamase, Toshifumi 1953- Hogan, Peter A. |
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| indexdate | 2024-07-09T22:54:43Z |
| institution | BVB |
| isbn | 9780199584109 |
| language | English |
| lccn | 2010037492 |
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| physical | X, 153 S. graph. Darst. |
| publishDate | 2011 |
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| publisher | Oxford University Press |
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| series | International series of monographs on physics |
| series2 | International series of monographs on physics |
| spelling | Asada, Hideki Verfasser (DE-588)143297317 aut Equations of motion in general relativity H. Asada ; T. Futamase ; P. A. Hogan 1. publ. Oxford [u.a.] Oxford University Press 2011 X, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series of monographs on physics 148 Mathematik Equations of motion General relativity (Physics) Mathematics Futamase, Toshifumi 1953- Verfasser (DE-588)114442126 aut Hogan, Peter A. Verfasser (DE-588)143297589 aut International series of monographs on physics 148 (DE-604)BV000106406 148 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021175167&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Asada, Hideki Futamase, Toshifumi 1953- Hogan, Peter A. Equations of motion in general relativity International series of monographs on physics Mathematik Equations of motion General relativity (Physics) Mathematics |
| title | Equations of motion in general relativity |
| title_auth | Equations of motion in general relativity |
| title_exact_search | Equations of motion in general relativity |
| title_full | Equations of motion in general relativity H. Asada ; T. Futamase ; P. A. Hogan |
| title_fullStr | Equations of motion in general relativity H. Asada ; T. Futamase ; P. A. Hogan |
| title_full_unstemmed | Equations of motion in general relativity H. Asada ; T. Futamase ; P. A. Hogan |
| title_short | Equations of motion in general relativity |
| title_sort | equations of motion in general relativity |
| topic | Mathematik Equations of motion General relativity (Physics) Mathematics |
| topic_facet | Mathematik Equations of motion General relativity (Physics) Mathematics |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021175167&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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