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Cited by 360

The DOI matches its Crossref record; 71 of the 71 references it cites were found in a registry or an index.

Analytic Black Hole Perturbation Approach to Gravitational Radiation

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Sasaki, Misao, Tagoshi, Hideyuki·2003·Living Reviews in Relativity
DOI 10.12942/lrr-2003-6
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Abstract

We review the analytic methods used to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive, compact body, based on black hole perturbation theory. There exist two different methods of performing the post-Newtonian expansion. Both are based on the Teukolsky equation. In one method, the Teukolsky equation is transformed into a Regge-Wheeler type equation that reduces to the standard Klein Gordon equation in the flat-space limit, while in the other method (which was introduced by Mano, Suzuki, and Takasugi relatively recently, the Teukolsky equation is used directly in its original form. The former's advantage is that it is intuitively easy to understand how various curved space effects come into play. However, it becomes increasingly complicated when one goes to higher and higher post-Newtonian orders. In contrast, the latter's advantage is that a systematic calculation to higher post-Newtonian orders can be implemented relatively easily, but otherwise, it is so mathematical that it is hard to understand the interplay of higher order terms. In this paper, we review both methods so that their pros and cons may be seen clearly. We also review some results of calculations of gravitational radiation emitted by a particle orbiting a black hole.

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Metadata

Authors
Sasaki, M., & Tagoshi, H.
Venue
Living Reviews in Relativity
Publisher
Springer Science and Business Media LLC
Published
2003-11-21
Volume
6
Issue
1
Pages
6-6
ISSN
  • 1433-8351 (ISSN-L)
  • 2367-3613
DOI
10.12942/lrr-2003-6
OpenAlex
W1974733710
Cited by
360
References
71
FWCI
3.09
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: Analytic Black Hole Perturbation Approach to Gravitational Radiation. https://app.cochat.ai/papers/10.12942/lrr-2003-6
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Sasaki, M., & Tagoshi, H. (2003). Analytic Black Hole Perturbation Approach to Gravitational Radiation. Living Reviews in Relativity. https://doi.org/10.12942/lrr-2003-6

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