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Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom

Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom
Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom
This article is part of a long-term programme to develop Cauchy-characteristic matching (CCM) codes as investigative tools in numerical relativity. The approach has two distinct features: (a) it dispenses with an outer boundary condition and replaces this with matching conditions at an interface between the Cauchy and characteristic regions, and (b) by employing a compactified coordinate, it proves possible to generate global solutions. In this paper CCM is applied to an exact two-parameter family of cylindrically symmetric vacuum solutions possessing both gravitational degrees of freedom due to Piran, Safier and Katz. This requires a modification of the previously constructed CCM cylindrical code because, even after using Geroch decomposition to factor out the z-direction, the family is not asymptotically flat. The key equations in the characteristic regime turn out to be regular singular in nature.
0264-9381
3157-3170
d'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Dubal, M.R.
9790dc4d-a703-45d1-b817-bab07f4b02f3
Sarkies, E.A.
e1221c4e-c650-4eba-b897-741bacc0267f
d'Inverno, R.A.
f78a4bf1-ce8d-4f37-822b-aad784ba5f06
Dubal, M.R.
9790dc4d-a703-45d1-b817-bab07f4b02f3
Sarkies, E.A.
e1221c4e-c650-4eba-b897-741bacc0267f

d'Inverno, R.A., Dubal, M.R. and Sarkies, E.A. (2000) Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom. Classical and Quantum Gravity, 17 (16), 3157-3170. (doi:10.1088/0264-9381/17/16/305).

Record type: Article

Abstract

This article is part of a long-term programme to develop Cauchy-characteristic matching (CCM) codes as investigative tools in numerical relativity. The approach has two distinct features: (a) it dispenses with an outer boundary condition and replaces this with matching conditions at an interface between the Cauchy and characteristic regions, and (b) by employing a compactified coordinate, it proves possible to generate global solutions. In this paper CCM is applied to an exact two-parameter family of cylindrically symmetric vacuum solutions possessing both gravitational degrees of freedom due to Piran, Safier and Katz. This requires a modification of the previously constructed CCM cylindrical code because, even after using Geroch decomposition to factor out the z-direction, the family is not asymptotically flat. The key equations in the characteristic regime turn out to be regular singular in nature.

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Published date: 2000

Identifiers

Local EPrints ID: 29548
URI: http://eprints.soton.ac.uk/id/eprint/29548
ISSN: 0264-9381
PURE UUID: e84343d1-728d-4357-b1cd-2557f1143ac7

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Date deposited: 19 Jul 2006
Last modified: 08 Jan 2022 12:56

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Contributors

Author: R.A. d'Inverno
Author: M.R. Dubal
Author: E.A. Sarkies

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