Spherically symmetric solutions in modified Horava-Lifshitz gravity

Abstract

We find spherically symmetric solutions in the modified Ho\v{r}ava-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.