Spherically symmetric solutions in modified Hořava-Lifshitz gravity

We find spherically symmetric solutions in the modified Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity proposed recently by Blas, Pujolas and Sibiryakov. The nonlinear 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 nonzero. 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.

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