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2009

Caustic avoidance in Horava-Lifshitz gravity

Mukohyama, Shinji

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There are at least four versions of Horava-Lishitz gravity in the literature.

We consider the version without the detailed balance condition with the projectability condition and address one aspect of the theory: avoidance of caustics for constant time hypersurfaces.
We show that there is no caustic with plane symmetry in the absence of matter source if \lambda\ne 1.
If \lambda=1 is a stable IR fixed point of the renormalization group flow then \lambda is expected to deviate from 1 near would-be caustics, where the extrinsic curvature increases and high-energy corrections become important.

Caustic avoidance in Horava-Lifshitz gravity · Around

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G. D. Moore and A. E. Nelson, “Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation,” JHEP 0109
2001
Earlier work this paper cites.

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