paper

Spherically symmetric solutions in modified Horava-Lifshitz gravity

arXiv:0911.3164 · doi:10.1103/PhysRevD.81.044009

Abstract

We find spherically symmetric solutions in the modified Hořava-Lifshitz gravity proposed recently by Blas, Pujolas and Sibiryakov. The non-linear equations of the two derivative action turn out to be similar to those stemming from the four-derivative action explored recently. We analyze the solutions and derive constraints on the relevant new coupling constant. We also analyze the case where the cosmological constant is non-zero. We derive the large distance expansion of solutions and show that the power of the standard Newton's law is modified in the presence of a cosmological constant.

Latex, 13 figures. (v2) The case with non-zero cosmological constant is adressed and asymptotic solutions are found in this case for large distances. Various misprints are also corrected and several notes are added mentioning relation to other works and in particular respective solutions of the Einstein-Aether theory (v3) Changed preprint numbe

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