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Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole

Nakano, Hiroyuki and Mino, Yasushi and Sasaki, Misao (2001) Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole. Progress of Theoretical Physics, 106 (2). pp. 339-362. ISSN 0033-068X. http://resolver.caltech.edu/CaltechAUTHORS:20170408-193931616

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Abstract

In an accompanying paper, we formulate two types of regularization methods to calculate the scalar self-force on a particle of charge q moving around a black hole of mass M [Y. Mino, H. Nakano and M. Sasaki, Covariant Self-force Regularization of a Particle Orbiting a Schwarzschild Black Hole, UTAP-386, OUTAP-157 (2001)], one of which is called the “power expansion regularization”. In this paper, we analytically evaluate the self-force (which we also call the ‘reaction force’) to third post-Newtonian (3PN) order for a scalar particle in circular orbit around a Schwarzschild black hole by using the power expansion regularization. It is found that the r-component of the self-force arises at 3PN order, whereas the t- and ϕ-components, which are due to the radiation reaction, appear at 2PN and 1.5PN orders, respectively.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1143/PTP.106.339DOIArticle
http://arxiv.org/gr-qc/0104012arXivDiscussion Paper
Additional Information:© 2001 Progress of Theoretical Physics. (Received April 12, 2001) We thank U. Gen, Y. Himemoto and F. Takahara for fruitful conversations. Special thanks are due to H. Tagoshi and T. Tanaka for valuable discussions. HN and YM also thank K. S. Thorne for his hospitality and discussions during their stay at the California Institute of Technology, and YM thanks B. Schutz for his hospitality and discussions during his stay at the Einstein Institute in Potsdam. This work was supported in part by a Grant-in-Aid for Creative Research, No. 09NP0801, and by a Grant-in-Aid for Scientific Research, No. 12640269, from the Ministry of Education, Science, Sports and Calture. HN and YM are supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists, Nos. 2397 and 0704.
Group:TAPIR
Funders:
Funding AgencyGrant Number
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
Japan Society for the Promotion of Science (JSPS)0704
Record Number:CaltechAUTHORS:20170408-193931616
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170408-193931616
Official Citation:Hiroyuki Nakano, Yasushi Mino, Misao Sasaki; Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole, Progress of Theoretical Physics, Volume 106, Issue 2, 1 August 2001, Pages 339–362, https://doi.org/10.1143/PTP.106.339
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ID Code:76368
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:29 Mar 2018 23:59
Last Modified:29 Mar 2018 23:59

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