Metric Redefinitions in Einstein-Aether Theory
General Relativity and Quantum Cosmology
2009-11-11 v2
Abstract
`Einstein-Aether' theory, in which gravity couples to a dynamical, time-like, unit-norm vector field, provides a means for studying Lorentz violation in a generally covariant setting. Demonstrated here is the effect of a redefinition of the metric and vector field in terms of the original fields and two free parameters. The net effect is a change of the coupling constants appearing in the action. Using such a redefinition, one of the coupling constants can be set to zero, simplifying studies of solutions of the theory.
Cite
@article{arxiv.gr-qc/0502066,
title = {Metric Redefinitions in Einstein-Aether Theory},
author = {Brendan Z. Foster},
journal= {arXiv preprint arXiv:gr-qc/0502066},
year = {2009}
}
Comments
11 pages; v.2: Some clarifying remarks added, to appear in PRD