Shear-free Null Quasi-Spherical Spacetimes
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
The residual gauge freedom within the null quasi-spherical coordinate condition is studied, for spacetimes admitting an expanding, shear-free null foliation. The freedom consists of a boost and rotation at each coordinate sphere, corresponding to a specification of inertial frame at each sphere. Explicit formulae involving arbitrary functions of two variables are obtained for the accelerated Minkowski, Schwarzschild, and Robinson-Trautman spacetimes. These examples will be useful as test metrics in numerical relativity.
Keywords
Cite
@article{arxiv.gr-qc/9705079,
title = {Shear-free Null Quasi-Spherical Spacetimes},
author = {Robert Bartnik},
journal= {arXiv preprint arXiv:gr-qc/9705079},
year = {2009}
}
Comments
20 pages, revtex