Consistent discretizations: the Gowdy spacetimes
arXiv:gr-qc/0505043 · doi:10.1103/PhysRevD.72.024031
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.
10 pages, 8 figures