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Prog. Theor. Phys. Vol. 106 No. 2 (2001) pp. 339-362

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

Hiroyuki Nakano,^* Yasushi Mino^*,** and Misao Sasaki ^***

Department of Earth and Space Science, Graduate School of Science
Osaka University, Toyonaka 560-0043, Japan
^*Theoretical Astrophysics, California Institute of Technology
Pasadena, California 91125, USA

(Received April 12, 2001)

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.

URL : http://ptp.ipap.jp/link?PTP/106/339/
DOI : 10.1143/PTP.106.339

^* E-mail: denden@vega.ess.sci.osaka-u.ac.jp
^** E-mail: mino@utap.phys.s.u-tokyo.ac.jp (on the leave from University of Tokyo)
^***E-mail: misao@vega.ess.sci.osaka-u.ac.jp

[ Full Text PDF : FREE ACCESS (220K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 108 No. 6 (2002) pp. 1039-1064 :

   Covariant Self-Force Regularization of a Particle Orbiting a Schwarzschild Black Hole

   Yasushi Mino, Hiroyuki Nakano and Misao Sasaki

2. Progress of Theoretical Physics Vol. 111 No. 6 (2004) pp. 821-840 :

   A New Analytical Method for Self-Force Regularization. I

   Wataru Hikida, Sanjay Jhingan, Hiroyuki Nakano, Norichika Sago, Misao Sasaki, and Takahiro Tanaka

3. Progress of Theoretical Physics Vol. 113 No. 2 (2005) pp. 283-303 :

   A New Analytical Method for Self-Force Regularization. II

   Wataru Hikida, Sanjay Jhingan, Hiroyuki Nakano, Norichika Sago, Misao Sasaki and Takahiro Tanaka

4. Progress of Theoretical Physics Supplement No.163 (2006) pp. 120-145 :

   Gravitational Radiation Reaction

   Takahiro Tanaka

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