The Post-Newtonian Approximation for Relativistic Compact Binaries
We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong fiel...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-03-01
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| Series: | Living Reviews in Relativity |
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| Online Access: | http://www.livingreviews.org/lrr-2007-2 |
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Article |
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doaj-15e715a9972e4524b008270314f370442020-11-25T00:55:23ZengSpringerOpenLiving Reviews in Relativity1433-83512007-03-01102The Post-Newtonian Approximation for Relativistic Compact BinariesFutamase ToshifumiItoh YousukeWe discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for relativistic compact binaries which respect the Lorentz invariance in the post-Newtonian perturbative sense, admit a conserved energy, and are free from any ambiguity.http://www.livingreviews.org/lrr-2007-2Gravitational waves |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Futamase Toshifumi Itoh Yousuke |
| spellingShingle |
Futamase Toshifumi Itoh Yousuke The Post-Newtonian Approximation for Relativistic Compact Binaries Living Reviews in Relativity Gravitational waves |
| author_facet |
Futamase Toshifumi Itoh Yousuke |
| author_sort |
Futamase Toshifumi |
| title |
The Post-Newtonian Approximation for Relativistic Compact Binaries |
| title_short |
The Post-Newtonian Approximation for Relativistic Compact Binaries |
| title_full |
The Post-Newtonian Approximation for Relativistic Compact Binaries |
| title_fullStr |
The Post-Newtonian Approximation for Relativistic Compact Binaries |
| title_full_unstemmed |
The Post-Newtonian Approximation for Relativistic Compact Binaries |
| title_sort |
post-newtonian approximation for relativistic compact binaries |
| publisher |
SpringerOpen |
| series |
Living Reviews in Relativity |
| issn |
1433-8351 |
| publishDate |
2007-03-01 |
| description |
We discuss various aspects of the post-Newtonian approximation in general relativity. After presenting the foundation based on the Newtonian limit, we show a method to derive post-Newtonian equations of motion for relativistic compact binaries based on a surface integral approach and the strong field point particle limit. As an application we derive third post-Newtonian equations of motion for relativistic compact binaries which respect the Lorentz invariance in the post-Newtonian perturbative sense, admit a conserved energy, and are free from any ambiguity. |
| topic |
Gravitational waves |
| url |
http://www.livingreviews.org/lrr-2007-2 |
| work_keys_str_mv |
AT futamasetoshifumi thepostnewtonianapproximationforrelativisticcompactbinaries AT itohyousuke thepostnewtonianapproximationforrelativisticcompactbinaries AT futamasetoshifumi postnewtonianapproximationforrelativisticcompactbinaries AT itohyousuke postnewtonianapproximationforrelativisticcompactbinaries |
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1725230480023879680 |