Wataru Hikida et al 2005 Class. Quantum Grav. 22 S753 doi:10.1088/0264-9381/22/15/009
Self-force regularization in the Schwarzschild spacetime
Wataru Hikida1, Hiroyuki Nakano2 and Misao Sasaki1
Show affiliationsWe discuss the gravitational self-force on a particle in a black-hole spacetime. For a point particle, the full (bare) self-force diverges. The metric perturbation induced by a particle can be divided into two parts, the direct part (or the S part) and the tail part (or the R part), in the Lorenz gauge, and the regularized self-force is derived from the R part which is regular and satisfies the source-free perturbed Einstein equations. But this formulation is abstract, so when we apply it to black-hole-particle systems, there are many problems to be overcome in order to derive a concrete self-force. These problems are roughly divided into two parts. They are the problem of regularizing the divergent self-force, i.e., 'subtraction problem' and the problem of the singularity in gauge transformation, i.e., 'gauge problem'. In this paper, we discuss these problems in the Schwarzschild background and report some recent progress.
- PACS
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04.70.Bw Classical black holes
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
- MSC
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83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
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Issue 15 (7 August 2005)
Received 2 December 2004, in final form 23 March 2005
Published 18 July 2005
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Self-force regularization in the Schwarzschild spacetime
Wataru Hikida et al 2005 Class. Quantum Grav. 22 S753
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