Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole
- Creators
- Nakano, Hiroyuki
- Mino, Yasushi
- Sasaki, Misao
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.
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.Attached Files
Published - 339.full.pdf
Submitted - 0104012
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Additional details
- Eprint ID
- 76368
- Resolver ID
- CaltechAUTHORS:20170408-193931616
- 09NP0801
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- 12640269
- Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- 2397
- Japan Society for the Promotion of Science (JSPS)
- 0704
- Japan Society for the Promotion of Science (JSPS)
- Created
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2018-03-29Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- TAPIR