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Calculating the Gravitational Self-Force in Schwarzschild Spacetime

Barack, Leor and Mino, Yasushi and Nakano, Hiroyuki and Ori, Amos and Sasaki, Misao (2002) Calculating the Gravitational Self-Force in Schwarzschild Spacetime. Physical Review Letters, 88 (9). Art. No. 091101. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20170408-150711843

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Abstract

We present a practical method for calculating the local gravitational self-force (often called “radiation-reaction force”) for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of mode-sum regularization, in which one first calculates the (finite) contribution to the force due to each individual multipole mode of the perturbation, and then applies a certain regularization procedure to the mode sum. Here we give the values of all the “regularization parameters” required for implementing this regularization procedure, for any geodesic orbit in Schwarzschild spacetime.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.88.091101DOIArticle
http://arxiv.org/abs/gr-qc/0111001arXivDiscussion Paper
Additional Information:© 2002 American Physical Society. (Received 1 November 2001; published 19 February 2002) We would like to thank Lior Burko for interesting discussions and stimulating interaction. L. B. was supported by the European Community program IHP-MCIF-99-1 (Marie Curie Fund) under Contract No. HPMF-CT-2000-00851. Y. M. was supported by NSF Grants No. PHY-0099568 and PHY-0096522 and NASA Grant No. NAG5-10707. H. N. and M. S. were supported in part by a Monbusho Grant-in-Aid for Creative Research (No. 09NP0801), and by a Monbusho Grant-in-Aid for Scientific Research (No. 12640269). H. N. was also supported by the Japan Society for the Promotion of Science for Young Scientists, No. 2397.
Group:TAPIR
Funders:
Funding AgencyGrant Number
Marie Curie FellowshipHPMF-CT-2000-00851
NSFPHY-0099568
NSFPHY-0096522
NASANAG5-10707
Ministry of Education, Culture, Sports, Science and Technology (MEXT)09NP0801
Ministry of Education, Culture, Sports, Science and Technology (MEXT)12640269
Japan Society for the Promotion of Science (JSPS)2397
Issue or Number:9
Classification Code:PACS numbers: 04.70.Bw, 04.25.Nx
Record Number:CaltechAUTHORS:20170408-150711843
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170408-150711843
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76023
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:04 May 2017 23:09
Last Modified:03 Oct 2019 16:56

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