Gravitational self force and gauge transformations

Details Gravitational self force and gauge transformations Gravitational self force and gauge transformations

2001-07-16

arxiv.org/abs/gr-qc/0107056v1

Phys.Rev. D64 (2001) 124003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, Latex

Scientific paper

10.1103/PhysRevD.64.124003

We explore how the gravitational self force (or ``radiation reaction'' force), acting on a pointlike test particle in curved spacetime, is modified in a gauge transformation. We derive the general transformation law, describing the change in the self force in terms of the infinitesimal displacement vector associated with the gauge transformation. Based on this transformation law, we extend the regularization prescription by Mino et al. and Quinn and Wald (originally formulated within the harmonic gauge) to an arbitrary gauge. Then we extend the method of mode-sum regularization (which provides a practical means for calculating the regularized self force and was recently applied to the harmonic-gauge gravitational self force) to an arbitrary gauge. We find that the regularization parameters involved in this method are gauge-independent. We also explore the gauge transformation of the self force from the harmonic gauge to the Regge-Wheeler gauge and to the radiation gauge, focusing attention on the regularity of these gauge transformations. We conclude that the transformation of the self force to the Regge-Wheeler gauge in Schwarzschild spacetime is regular for radial orbits and irregular otherwise, whereas the transformation to the radiation gauge is irregular for all orbits.

Affiliated with

Also associated with

No associations

Rating

Gravitational self force and gauge transformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gravitational self force and gauge transformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitational self force and gauge transformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472750