Black holes in Einstein-aether and Hořava-Lifshitz gravity

Enrico Barausse, Ted Jacobson, and Thomas P. Sotiriou
Phys. Rev. D 83, 124043 – Published 28 June 2011

Abstract

We study spherical black hole solutions in Einstein-aether theory, a Lorentz-violating gravitational theory consisting of general relativity with a dynamical unit timelike vector (the “aether”) that defines a preferred timelike direction. These are also solutions to the infrared limit of Hořava-Lifshitz gravity. We explore parameter values of the two theories where all presently known experimental constraints are satisfied, and find that spherical black hole solutions of the type expected to form by gravitational collapse exist for all those parameters. Outside the metric horizon, the deviations away from the Schwarzschild metric are typically no more than a few percent for most of the explored parameter regions, which makes them difficult to observe with electromagnetic probes, but in principle within reach of future gravitational-wave detectors. Remarkably, we find that the solutions possess a universal horizon, not far inside the metric horizon, that traps waves of any speed relative to the aether. A notion of a black hole thus persists in these theories, even in the presence of arbitrarily high propagation speeds.

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  • Received 14 April 2011

DOI:https://doi.org/10.1103/PhysRevD.83.124043

© 2011 American Physical Society

Authors & Affiliations

Enrico Barausse1, Ted Jacobson1, and Thomas P. Sotiriou2

  • 1Center for Fundamental Physics, University of Maryland, College Park, Maryland 20742-4111, USA
  • 2Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, CB3 0WA, Cambridge, UK

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Vol. 83, Iss. 12 — 15 June 2011

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