Black hole solutions in 5D Horava-Lifshitz gravity

We study the full spectrum of spherically symmetric solutions in the five-dimensional nonprojectable Horava-Lifshitz type gravity theories. For appropriate ranges of the coupling parameters, we have found several classes of solutions which are characterized by an ${\mathrm{AdS}}_{5}$, ${\mathrm{dS}}_{5}$, or flat large distance asymptotic behavior, plus the standard $1/{r}^{2}$ tail of the usual five-dimensional Schwarzschild black holes. In addition we have found solutions with an unconventional short or large distance behavior, and, for a special range of the coupling parameters, solutions which coincide with black hole solutions of conventional relativistic five-dimensional Gauss-Bonnet gravity.

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