Self-force via m-mode regularization and 2+1D evolution. II. Scalar-field implementation on Kerr spacetime
- School of Mathematics, University of Southampton, Southampton SO17 1BJ (United Kingdom)
This is the second in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a suitable analytic 'puncture' based on the Detweiler-Whiting decomposition, (ii) decomposition of the perturbation equations in azimuthal (m-)modes, taking advantage of the axial symmetry of the Kerr background, (iii) numerical evolution of the individual m-modes in 2+1 dimensions with a finite-difference scheme, and (iv) reconstruction of the physical self-force from the mode sum. Here we report an implementation of the method to compute the scalar-field self-force along circular equatorial geodesic orbits around a Kerr black hole. This constitutes a first time-domain computation of the self-force in Kerr geometry. Our time-domain code reproduces the results of a recent frequency-domain calculation by Warburton and Barack, but has the added advantage of being readily adaptable to include the backreaction from the self-force in a self-consistent manner. In a forthcoming paper--the third in the series--we apply our method to the gravitational self-force (in the Lorenz gauge).
- OSTI ID:
- 21607885
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.084001; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
AXIAL SYMMETRY
BLACK HOLES
CALCULATION METHODS
DECOMPOSITION
DISTURBANCES
EVOLUTION
GAUGE INVARIANCE
KERR FIELD
ORBITS
PERTURBATION THEORY
SCALAR FIELDS
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
CHEMICAL REACTIONS
GRAVITATIONAL FIELDS
INVARIANCE PRINCIPLES
SYMMETRY