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Phys. Rev. D 53, 5533–5540 (1996)

Testing a simplified version of Einstein’s equations for numerical relativity

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Gregory B. Cook
Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853

Stuart L. Shapiro
Center for Astrophysics and Relativity, 326 Siena Drive, Ithaca, New York 14850

Saul A. Teukolsky
Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853

Received 5 December 1995; published in the issue dated 15 May 1996

Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, such as binary neutron stars. We test the scheme on isolated, rapidly rotating, relativistic stars. Since these objects are in equilibrium, it is crucial that the approximation works well if we are to believe its predictions for more complicated systems such as binaries. Our results are very encouraging. © 1996 The American Physical Society.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.53.5533
DOI:
10.1103/PhysRevD.53.5533
PACS:
04.25.Dm, 04.40.Dg