Causal differencing of flux-conservative equations applied to black hole spacetimes

Details Causal differencing of flux-conservative equations applied to black hole spacetimes Causal differencing of flux-conservative equations applied to black hole spacetimes

1998-09-04

arxiv.org/abs/gr-qc/9809021v2

Class.Quant.Grav. 16 (1999) 991-1010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, RevTex, to appear in CQG

Scientific paper

10.1088/0264-9381/16/3/026

We give a general scheme for finite-differencing partial differential equations in flux-conservative form to second order, with a stencil that can be arbitrarily tilted with respect to the numerical grid, parameterized by a "tilt" vector field gamma^A. This can be used to center the numerical stencil on the physical light cone, by setting gamma^A = beta^A, where beta^A is the usual shift vector in the 3+1 split of spacetime, but other choices of the tilt may also be useful. We apply this "causal differencing" algorithm to the Bona-Masso equations, a hyperbolic and flux-conservative form of the Einstein equations, and demonstrate long term stable causally correct evolutions of single black hole systems in spherical symmetry.

Affiliated with

Also associated with

No associations

Rating

Causal differencing of flux-conservative equations applied to black hole spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Causal differencing of flux-conservative equations applied to black hole spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Causal differencing of flux-conservative equations applied to black hole spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571435