Self-force via m-mode regularization and 2+1D evolution. II. Scalar-field implementation on Kerr spacetime
Dolan, Sam, Barack, Leor and Wardell, Barry (2011) Self-force via m-mode regularization and 2+1D evolution. II. Scalar-field implementation on Kerr spacetime. Physical Review D, 84, (8), 084001-[21pp]. (doi:10.1103/PhysRevD.84.084001).
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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).
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Applied Mathematics
|Date Deposited:||07 Nov 2011 09:58|
|Last Modified:||07 Nov 2011 09:58|
|Contributors:||Dolan, Sam (Author)
Barack, Leor (Author)
Wardell, Barry (Author)
|Date:||3 October 2011|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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