Self-gravitational Interaction in z = 4 Horava-Lifshitz Gravity

Abstract

Motivated by recent works [1,2], the influences of self-gravitational interaction on the Hawking radiation are studied both for (3 + 1) and (4 + 1) dimensional black holes in $z=4$ Hourava-Lifshitz gravity. It is found that the tunneling entropies $S_{B(3+1)}$ and $S_{B(4+1)}$ independent on particle's mass are consistent with the thermodynamical entropies $S_{BH(3+1)}$ and $S_{BH(4+1)}$, respectively. There is a very visible degree of uniformity between thermodynamics and quantum tunneling in $z=4$ Hourava-Lifshitz gravity. It suggests that the entropies contained corrected terms could be explained well by the self-gravitational interaction of Hawking radiation. The study of tunneling process may shed light on understanding the Hourava-Lifshitz gravity.

8 pages, published version