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Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 507-521

Regularization Method of Gravitational Radiation Reaction

Yasushi Mino^*,**,*) and Hiroyuki Nakano^*,**)

^*Department of Earth and Space Science, Graduate School of Science
Osaka University, Toyonaka 560-0043, Japan
^**Max-Planck-Institut für Gravitationsphysik Albert-Einstein-Institut
Schlaatzweg 1,D-14473 Potsdam, Germany

(Received May 14, 1998)

Abstract:

In this paper, we propose a new method to extract the singular part from the linear metric perturbation induced by a point particle moving on a Schwarzschild/Kerr black hole. The only assumption we make is a kind of analiticity of the resulting metric perturbation around the particle. The method is expected to be useful in investigating the gravitational radiation reaction to the motion of the particle, its spin, and so on.

URL : http://ptp.ipap.jp/link?PTP/100/507/
DOI : 10.1143/PTP.100.507

^*)E-mail: mino@vega.ess.sci.osaka-u.ac.jp
^**)E-mail: denden@vega.ess.sci.osaka-u.ac.jp

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 105 No. 2 (2001) pp. 197-218 :

   The Gravitational Reaction Force on a Particle in the Schwarzschild Background

   Hiroyuki Nakano and Misao Sasaki

2. Progress of Theoretical Physics 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

3. 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

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