Spherically symmetric solutions in covariant Horava-Lifshitz gravity

Jean Alexandre and Pavlos Pasipoularides
Phys. Rev. D 83, 084030 – Published 15 April 2011

Abstract

We study the most general case of spherically symmetric vacuum solutions in the framework of the covariant Horava-Lifshitz gravity, for an action that includes all possible higher order terms in curvature which are compatible with power-counting normalizability requirement. We find that solutions can be separated into two main classes: (i) solutions with nonzero radial shift function, and (ii) solutions with zero radial shift function. In the case (ii), spherically symmetric solutions are consistent with observations if we adopt the view of Horava and Melby-Tomson [P. Horava and C. M. Melby-Thompson, Phys. Rev. D 82, 064027 (2010).], according to which the auxiliary field A can be considered as a part of an effective general relativistic metric, which is valid only in the IR limit. On the other hand, in the case (i), consistency with observations implies that the field A should be independent of the spacetime geometry, as the Newtonian potential arises from the nonzero radial shift function. Also, our aim in this paper is to discuss and compare these two alternative but different assumptions for the auxiliary field A.

  • Figure
  • Received 25 October 2010

DOI:https://doi.org/10.1103/PhysRevD.83.084030

© 2011 American Physical Society

Authors & Affiliations

Jean Alexandre1,* and Pavlos Pasipoularides2,†

  • 1King’s College London, Department of Physics, London WC2R 2LS, UK
  • 2Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, Greece

  • *jean.alexandre@kcl.ac.uk
  • paul@central.ntua.gr

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Vol. 83, Iss. 8 — 15 April 2011

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