A Positive-Energy Theorem for Einstein-Aether and Hořava Gravity

David Garfinkle and Ted Jacobson
Phys. Rev. Lett. 107, 191102 – Published 31 October 2011

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.

  • Received 10 August 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.191102

© 2011 American Physical Society

Authors & Affiliations

David Garfinkle

  • Department of Physics, Oakland University, Rochester, Michigan 48309 and Michigan Center for Theoretical Physics, Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120, USA

Ted Jacobson

  • Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA

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Issue

Vol. 107, Iss. 19 — 4 November 2011

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