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  An excision scheme for black holes in constrained evolution formulations: spherically symmetric case

Cordero-Carrión, I., Vasset, N., Novak, J., & Jaramillo, J. L. (2014). An excision scheme for black holes in constrained evolution formulations: spherically symmetric case. Physical Review D, 90: 044062. doi:10.1103/PhysRevD.90.044062.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-76BB-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-76BC-0
Genre: Journal Article

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 Creators:
Cordero-Carrión, Isabel, Author
Vasset, Nicolas, Author
Novak, Jérôme, Author
Jaramillo, Jose Luis1, Author              
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Excision techniques are used in order to deal with black holes in numerical simulations of Einstein equations and consist in removing a topological sphere containing the physical singularity from the numerical domain, applying instead appropriate boundary conditions at the excised surface. In this work we present recent developments of this technique in the case of constrained formulations of Einstein equations and for spherically symmetric spacetimes. We present a new set of boundary conditions to apply to the elliptic system in the fully-constrained formalism of Bonazzola et al. (2004), at an arbitrary coordinate sphere inside the apparent horizon. Analytical properties of this system of boundary conditions are studied and, under some assumptions, an exponential convergence toward the stationary solution is exhibited for the vacuum spacetime. This is verified in numerical examples, together with the applicability in the case of the accretion of a scalar field onto a Schwarzschild black hole. We also present the successful use of the excision technique in the collapse of a neutron star to a black hole, when excision is switched on during the simulation, after the formation of the apparent horizon. This allows the accretion of matter remaining outside the excision surface and for the stable long-term evolution of the newly formed black hole.

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 Dates: 2013-06-252014-08-262014
 Publication Status: Published in print
 Pages: 14 pages, 9 figures. New section added and changes included according to published article
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1306.5976
DOI: 10.1103/PhysRevD.90.044062
URI: http://arxiv.org/abs/1306.5976
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 90 Sequence Number: 044062 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258