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  Excision without excision

Brown, D. A., Sarbach, O., Schnetter, E., Tiglio, M., Diener, P., Hawke, I., et al. (2007). Excision without excision. Physical Review D, 76(8): 081503. doi:10.1103/PhysRevD.76.081503.

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Brown, Duncan A., Author
Sarbach, Olivier, Author
Schnetter, Erik, Author
Tiglio, Manuel, Author
Diener, Peter, Author
Hawke, Ian, Author
Pollney, Denis1, Author           
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: To stuff a black hole. We analyze and apply an alternative to black hole excision based on smoothing the interior of black holes with arbitrary initial data, and solving the vacuum Einstein evolution equations everywhere. By deriving the constraint propagation system for our hyperbolic formulation of the BSSN evolution system we rigorously prove that the constraints propagate causally and so any constraint violations introduced inside the black holes cannot affect the exterior spacetime. We present evolutions of Cook-Pfeiffer binary black hole initial configurations showing that these techniques appear to work robustly for generic data. We also present evidence from spherically symmetric evolutions that for the gauge conditions used the same stationary end-state is approached irrespective of the choice of initial data and smoothing procedure.

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 Dates: 2007-10
 Publication Status: Issued
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 Identifiers: eDoc: 334597
ISI: 000250621400004
DOI: 10.1103/PhysRevD.76.081503
URI: http://link.aps.org/abstract/PRD/v76/e081503
Other: arXiv:0707.3101
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 76 (8) Sequence Number: 081503 Start / End Page: - Identifier: ISSN: 1550-7998