Journal Article

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

Hiroyuki Nakano, Yasushi Mino and Misao Sasaki

in Progress of Theoretical Physics

Published on behalf of Journal of the Physical Society of Japan

Volume 106, issue 2, pages 339-362
Published in print August 2001 | ISSN: 0033-068X
Published online August 2001 | e-ISSN: 1347-4081 | DOI: http://dx.doi.org/10.1143/PTP.106.339
Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole

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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.

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Subjects: Astronomy and Astrophysics ; Physics

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