Metric Redefinitions in Einstein-Aether Theory
arXiv:gr-qc/0502066 · doi:10.1103/PhysRevD.72.044017
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.
11 pages; v.2: Some clarifying remarks added, to appear in PRD