Undoing the twist: the Hořava limit of Einstein-aether

Abstract

We show that Hořava gravity can be obtained from Einstein-aether theory in the limit that the twist coupling constant goes to infinity, while holding fixed the expansion, shear and acceleration couplings. This limit helps to clarify the relation between the two theories, and allows Hořava results to be obtained from Einstein-aether ones. The limit is illustrated with several examples, including rotating black hole equations, PPN parameters, and radiation rates from binary systems.

5 pages; v2: added discussion of inferences from the general form of the action, changed normalization of expansion coupling coefficient to simplify formulas, nearly coincides with PRD version

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