Logarithmic entropy of Kehagias–Sfetsos black hole with self-gravitation in asymptotically flat IR modified Hořava gravity

Abstract

Motivated by recent logarithmic entropy of Hořava–Lifshitz gravity, we investigate Hawking radiation for Kehagias–Sfetsos black hole from tunneling perspective. After considering the effect of self-gravitation, we calculate the emission rate and entropy of quantum tunneling by using Kraus–Parikh–Wilczek method. Meanwhile, both massless and massive particles are considered in this Letter. Interestingly, two types tunneling particles have the same emission rate Γ and entropy Sb whose analytical formulae are Γ=exp[π(rin2−rout2)/2+π/αlnrin/rout] and Sb=A/4+π/αln(A/4), respectively. Here, α is the Hořava–Lifshitz field parameter. The results show that the logarithmic entropy of Hořava–Lifshitz gravity could be explained well by the self-gravitation, which is totally different from other methods. The study of this semiclassical tunneling process may shed light on understanding the Hořava–Lifshitz gravity.