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

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dc.creatorBarack, Leor
dc.creatorGolbourn, Darren A.
dc.creatorSago, Norichika
dc.date2007-09-28
dc.date2007-12-17
dc.date.accessioned2026-07-07T11:19:38Z
dc.date.available2026-07-07T11:19:38Z
dc.descriptionWe 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.
dc.description17 pages. Minor typos corrected; version to appear in PRD
dc.identifierhttps://arxiv.org/abs/0709.4588
dc.identifierhttp://arxiv.org/abs/0709.4588
dc.identifierPhys.Rev.D76:124036,2007
dc.identifierdoi:10.1103/PhysRevD.76.124036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193753
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titlem-Mode Regularization Scheme for the Self Force in Kerr Spacetime
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