Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background

Details Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background

2002-08-21

arxiv.org/abs/gr-qc/0208060v1

Phys.Rev.D67:104017,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex4, 13 pages, no figures

Scientific paper

10.1103/PhysRevD.67.104017

The metric perturbation induced by a particle in the Schwarzschild background is usually calculated in the Regge-Wheeler (RW) gauge, whereas the gravitational self-force is known to be given by the tail part of the metric perturbation in the harmonic gauge. Thus, to identify the gravitational self-force correctly in a specified gauge, it is necessary to find out a gauge transformation that connects these two gauges. This is called the gauge problem. As a direct approach to solve the gauge problem, we formulate a method to calculate the metric perturbation in the harmonic gauge on the Schwarzshild backgound. We apply the Fourier-harmonic expansion to the metric perturbation and reduce the problem to the gauge transformation of the Fourier-harmonic coefficients (radial functions) from the RW gauge to the harmonic gauge. We derive a set of decoupled radial equations for the gauge transformation. These equations are found to have a simple second-order form for the odd parity part and the forms of spin $s=0$ and 1 Teukolsky equations for the even parity part. As a by-product, we correct typos in Zerilli's paper and present a set of corrected equations in Appendix.

Affiliated with

Also associated with

No associations

Rating

Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background 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 Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge Problem in the Gravitational Self-Force I. Harmonic Gauge Approach in the Schwarzschild Background will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-220733