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10.12942/lrr-2003-6 http://scihub22266oqcxt.onion/10.12942/lrr-2003-6 C5591631!5591631 !28936117     free     free     free Deprecated: Implicit conversion from float 219.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 219.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 219.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\28936117 .jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117       Living+Rev+Relativ 2003 ; 6 (1 ): 6 Nephropedia Template TP {{tp|p=28936117 |t=2003. Analytic Black Hole Perturbation Approach to Gravitational Radiation |pdf=|usr=}}{{28936117 }} gab.com Text Analytic Black Hole Perturbation Approach to Gravitational Radiation JO: Living Rev Relativ http://www.kidney.de/pget.php?&tw=1&pmid=28936117 #FOAvip 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. Twit Text FOAVip Analytic Black Hole Perturbation Approach to Gravitational Radiation ????Living Rev Relativ http://www.kidney.de/pget.php?&tw=1&pmid=28936117 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=28936117 #FOAvip English Wikipedia <ref>{{Cite pmid|28936117 }}</ref> Analytic Black Hole Perturbation Approach to Gravitational Radiation #MMPMID28936117 Sasaki M ; Tagoshi H Living Rev Relativ 2003[]; 6 (1 ): 6 PMID28936117 show ga 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. äAnalytic Black Hole Perturbation Approach to Gravitational Radiation (epmc).pdf DeepDyve Pubget Overpricing