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Article Dans Une Revue Physical Review D Année : 2009

Excised black hole spacetimes: Quasilocal horizon formalism applied to the Kerr example

Résumé

We present a numerical work aiming at the computation of excised initial data for black hole spacetimes in full general relativity, using the Dirac gauge in the context of a constrained formalism for the Einstein equations. Introducing the isolated horizon formalism for black hole excision, we especially solve the conformal metric part of the equations, and assess the boundary condition problem for it. In the stationary single black hole case, we present and justify a no-boundary treatment on the black hole horizon. We compare the data obtained with the well-known analytic Kerr solution in Kerr-Schild coordinates, and assess the widely used conformally flat approximation for simulating axisymmetric black hole spacetimes. Our method shows good concordance on physical and geometrical issues, with the particular application of the isolated horizon multipolar analysis to confirm that the solution obtained is indeed the Kerr spacetime. Finally, we discuss a previous suggestion in the literature for the boundary conditions for the conformal geometry on the horizon.

Dates et versions

hal-03785851 , version 1 (23-09-2022)

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Nicolas Vasset, Jérôme Novak, José Luis Jaramillo. Excised black hole spacetimes: Quasilocal horizon formalism applied to the Kerr example. Physical Review D, 2009, 79, pp.124010. ⟨10.1103/PhysRevD.79.124010⟩. ⟨hal-03785851⟩
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