A positive energy theorem for Einstein-aether and Hořava gravity

Abstract

Energy positivity is established for a class of solutions to Einstein-aether theory and the IR limit of Hořava gravity within a certain range of coupling parameters. The class consists of solutions where the aether 4-vector is divergence free on a spacelike surface to which it is orthogonal (which implies that the surface is maximal). In particular, this result holds for spherically symmetric solutions at a moment of time symmetry.

4 pages

References in corpus (8)

• Quantum Gravity at a Lifshitz Point
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Black holes in Einstein-aether and Horava-Lifshitz gravity
• Horava-Lifshitz gravity: a status report
• Stability of spherically symmetric solutions in modified theories of gravity
• Numerical simulations of gravitational collapse in Einstein-aether theory
• A general variational principle for spherically symmetric perturbations in diffeomorphism covariant theories
• Initial value constraints with tensor matter

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