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Consistent discretizations: the Gowdy spacetimes

Rodolfo Gambini·Marcelo Ponce·Jorge Pullin
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Abstract

We apply the consistent discretization scheme to general relativity particularized to the Gowdy space-times. This is the first time the framework has been applied in detail in a non-linear generally-covariant gravitational situation with local degrees of freedom. We show that the scheme can be correctly used to numerically evolve the space-times. We show that the resulting numerical schemes are convergent and preserve approximately the constraints as expected.

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Rodolfo Gambini, Marcelo Ponce, Jorge Pullin. 2005-05-10. Consistent discretizations: the Gowdy spacetimes. https://doi.org/10.1103/physrevd.72.024031

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