Metric Redefinitions in Einstein-Aether Theory

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.

arXiv comment11 pages; v.2: Some clarifying remarks added, to appear in PRD

References in corpus (4)

• Lorentz-Violating Vector Fields Slow the Universe Down
• Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
• Spontaneous Lorentz Violation and the Long-Range Gravitational Preferred-Frame Effect
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