m-Mode Regularization Scheme for the Self Force in Kerr Spacetime

Details m-Mode Regularization Scheme for the Self Force in Kerr Spacetime m-Mode Regularization Scheme for the Self Force in Kerr Spacetime

2007-09-28

arxiv.org/abs/0709.4588v2

Phys.Rev.D76:124036,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages. Minor typos corrected; version to appear in PRD

Scientific paper

10.1103/PhysRevD.76.124036

We present a new, simple method for calculating the scalar, electromagnetic, and gravitational self forces acting on particles in orbit around a Kerr black hole. The standard ``mode-sum regularization'' approach for self-force calculations relies on a decomposition of the full (retarded) perturbation field into multipole modes, followed by the application of a certain mode-by-mode regularization procedure. In recent years several groups have developed numerical codes for calculating black hole perturbations directly in 2+1 dimensions (i.e., decomposing the azimuthal dependence into $m$-modes, but refraining from a full multipole decomposition). Here we formulate a practical scheme for constructing the self force directly from the 2+1-dimensional $m$-modes. While the standard mode-sum method is serving well in calculations of the self force in Schwarzschild geometry, the new scheme should allow a more efficient treatment of the Kerr problem.

Affiliated with

Also associated with

No associations

Rating

m-Mode Regularization Scheme for the Self Force in Kerr Spacetime 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 m-Mode Regularization Scheme for the Self Force in Kerr Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and m-Mode Regularization Scheme for the Self Force in Kerr Spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715045