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Numerical implementation of isolated horizon boundary conditions

MPS-Authors
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Jaramillo,  Jose-Luis
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Ansorg,  Marcus
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

prd024019.pdf
(Publisher version), 333KB

0610006v2.pdf
(Preprint), 311KB

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Citation

Jaramillo, J.-L., Ansorg, M., & Limousin, F. (2007). Numerical implementation of isolated horizon boundary conditions. Physical Review D, 75: 024019. Retrieved from http://link.aps.org/abstract/PRD/v75/e024019.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4966-0
Abstract
We study the numerical implementation of a set of boundary conditions derived from the isolated horizon formalism, and which characterize a black hole whose horizon is in quasiequilibrium. More precisely, we enforce these geometrical prescriptions as inner boundary conditions on an excised sphere, in the numerical resolution of the conformal thin sandwich equations. As main results, we first establish the consistency of including in the set of boundary conditions a constant surface gravity prescription, interpretable as a lapse boundary condition, and second we assess how the prescriptions presented recently by Dain et al. for guaranteeing the well-posedness of the conformal transverse traceless equations with quasiequilibrium horizon conditions extend to the conformal thin sandwich elliptic system. As a consequence of the latter analysis, we discuss the freedom of prescribing the expansion associated with the ingoing null normal at the horizon.