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Construction of astrophysical initial data for perturbations of relativistic stars

Construction of astrophysical initial data for perturbations of relativistic stars
Construction of astrophysical initial data for perturbations of relativistic stars
We develop a framework for constructing initial data sets for perturbations about spherically symmetric matter distributions. This framework facilitates setting initial data representing sources of gravitational radiation involving relativistic stars. The procedure is based on the Lichnerowicz-York conformal approach to solve the constraints in Einstein’s equations. The correspondence of these initial data sets in terms of the standard gauge perturbation variables in the Regge-Wheeler perturbation variables is established, and examples of initial data sets of merging neutron stars under the close-limit approximation are presented.
1550-7998
4004-4015
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Kokkotas, K.D.
7bdb71db-179a-4f68-9f5d-bd45dfea7dfc
Laguna, P.
f8cbe99f-659e-41a8-b005-3ecfbedb09ea
Papadopoulos, P.
80a975f2-0aa9-4ef3-a266-550ca44c3cc7
Sipior, M.S.
4c334237-9060-4f83-b860-82957806ba1b
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Kokkotas, K.D.
7bdb71db-179a-4f68-9f5d-bd45dfea7dfc
Laguna, P.
f8cbe99f-659e-41a8-b005-3ecfbedb09ea
Papadopoulos, P.
80a975f2-0aa9-4ef3-a266-550ca44c3cc7
Sipior, M.S.
4c334237-9060-4f83-b860-82957806ba1b

Andersson, N., Kokkotas, K.D., Laguna, P., Papadopoulos, P. and Sipior, M.S. (1999) Construction of astrophysical initial data for perturbations of relativistic stars. Physical Review D, 60 (12), 4004-4015. (doi:10.1103/PhysRevD.60.124004).

Record type: Article

Abstract

We develop a framework for constructing initial data sets for perturbations about spherically symmetric matter distributions. This framework facilitates setting initial data representing sources of gravitational radiation involving relativistic stars. The procedure is based on the Lichnerowicz-York conformal approach to solve the constraints in Einstein’s equations. The correspondence of these initial data sets in terms of the standard gauge perturbation variables in the Regge-Wheeler perturbation variables is established, and examples of initial data sets of merging neutron stars under the close-limit approximation are presented.

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Published date: 1999

Identifiers

Local EPrints ID: 29427
URI: http://eprints.soton.ac.uk/id/eprint/29427
ISSN: 1550-7998
PURE UUID: 3e54fd76-b2de-4500-9cdd-0b21342fda9b
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 05 Jan 2007
Last modified: 05 Nov 2019 01:57

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Contributors

Author: N. Andersson ORCID iD
Author: K.D. Kokkotas
Author: P. Laguna
Author: P. Papadopoulos
Author: M.S. Sipior

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