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Rotating star initial data for a constrained scheme in numerical relativity

Lap-Ming Lin and Jérôme Novak

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A new numerical code for computing stationary axisymmetric rapidly rotating stars in general relativity is presented. The formulation is based on a fully constrained-evolution scheme for 3 + 1 numerical relativity using the Dirac gauge and maximal slicing. We use both the polytropic and MIT bag model equations of state to demonstrate that the code can construct rapidly rotating neutron star and strange star models. We compare numerical models obtained by our code and a well-established code, which uses a different gauge condition, and show that the two codes agree to a high degree of accuracy.


PACS

04.25.D- Numerical relativity

04.40.Dg Relativistic stars: structure, stability, and oscillations

04.20.Cv Fundamental problems and general formalism

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

14J70 Hypersurfaces

83C75 Space-time singularities, cosmic censorship, etc.

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

Subjects

Gravitation and cosmology

Dates

Issue 14 (21 July 2006)

Received 7 March 2006, in final form 24 May 2006

Published 20 June 2006



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