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# M-mode regularization scheme for the self force in Kerr Spacetime

Barack, Leor, Golbourn, Darren A. and Sago, Norichika (2007) M-mode regularization scheme for the self force in Kerr Spacetime. Physical Review D, 76 (124036), 1-17.

Record type: Article

## Abstract

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.

Published date: 2007

## Identifiers

Local EPrints ID: 48796
URI: http://eprints.soton.ac.uk/id/eprint/48796
ISSN: 1550-7998
PURE UUID: 91feacd3-702e-46e8-b193-99aca9c74312
ORCID for Leor Barack: orcid.org/0000-0003-4742-9413

## Catalogue record

Date deposited: 15 Oct 2007

## Contributors

Author: Leor Barack
Author: Darren A. Golbourn
Author: Norichika Sago