Consistent discretizations: the Gowdy spacetimes

Details Consistent discretizations: the Gowdy spacetimes Consistent discretizations: the Gowdy spacetimes

2005-05-10

arxiv.org/abs/gr-qc/0505043v1

Phys.Rev. D72 (2005) 024031

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 8 figures

Scientific paper

10.1103/PhysRevD.72.024031

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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