The numerical determination of apparent horizons

A J Kemball; N T Bishop

doi:10.1088/0264-9381/8/7/012

The numerical determination of apparent horizons

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Abstract

The problem of determining apparent horizons in (3+1) numerical relativity is considered. The method proposed by Nakamura and co-workers (1984) is applied to initial data for several time-symmetric Schwarzschild black holes to determine the quantitative numerical properties of the algorithm. Several refinements are suggested to the method which lead to improved stability and convergence. Some circumstances in which it is not appropriate to use the method are found.

Original language	English (US)
Pages (from-to)	1361-1367
Journal	Classical and Quantum Gravity
Volume	8
Issue number	7
DOIs	https://doi.org/10.1088/0264-9381/8/7/012
State	Published - Jul 1 1991

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title = "The numerical determination of apparent horizons",

abstract = "The problem of determining apparent horizons in (3+1) numerical relativity is considered. The method proposed by Nakamura and co-workers (1984) is applied to initial data for several time-symmetric Schwarzschild black holes to determine the quantitative numerical properties of the algorithm. Several refinements are suggested to the method which lead to improved stability and convergence. Some circumstances in which it is not appropriate to use the method are found. ",

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AB - The problem of determining apparent horizons in (3+1) numerical relativity is considered. The method proposed by Nakamura and co-workers (1984) is applied to initial data for several time-symmetric Schwarzschild black holes to determine the quantitative numerical properties of the algorithm. Several refinements are suggested to the method which lead to improved stability and convergence. Some circumstances in which it is not appropriate to use the method are found.

U2 - 10.1088/0264-9381/8/7/012

DO - 10.1088/0264-9381/8/7/012

M3 - Article

SN - 0264-9381

VL - 8

SP - 1361

EP - 1367

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

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ER -

The numerical determination of apparent horizons

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