### 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.

Original language | English |
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Article number | 124036 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 76 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 27 2007 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*76*(12), [124036]. https://doi.org/10.1103/PhysRevD.76.124036

**M-mode regularization scheme for the self-force in Kerr spacetime.** / Barack, Leor; Golbourn, Darren A.; Sago, Norichika.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 76, no. 12, 124036. https://doi.org/10.1103/PhysRevD.76.124036

}

TY - JOUR

T1 - M-mode regularization scheme for the self-force in Kerr spacetime

AU - Barack, Leor

AU - Golbourn, Darren A.

AU - Sago, Norichika

PY - 2007/12/27

Y1 - 2007/12/27

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=37649015643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37649015643&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.76.124036

DO - 10.1103/PhysRevD.76.124036

M3 - Article

VL - 76

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 124036

ER -