Logarithmic Entropy of Kehagias-Sfetsos black hole with Self-gravitation in Asymptotically Flat IR Modified Horava Gravity

Abstract

Motivated by recent logarithmic entropy of Ho$\check{r}$ava-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 $\Gamma$ and entropy $S_b$ whose analytical formulae are $\Gamma =\exp [\pi (r_{in}^2-r_{out}^{2}t)/2+\pi /\alpha \ln r_{in}/r_{out}]$ and $S_b=A/4+\pi /\alpha \ln (A/4)$, respectively. Here, $\alpha$ is the Ho$\check{r}$ava-Lifshitz field parameter. The results show that the logarithmic entropy of Ho$\check{r}$ava-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 the understand of Ho$\check{r}$ava-Lifshitz gravity.

9 pages, revtex4

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Cited by in corpus (7)

• Phantom energy accretion onto a black hole in Horava Lifshitz gravity
• Perfect fluid tori orbiting Kehagias-Sfetsos naked singularities
• Local thermodynamics of KS black hole
• Logarithmic entropy of black hole in gravity with conformal anomaly from quantum tunneling approach
• Self-gravitational Interaction in z = 4 Horava-Lifshitz Gravity
• The tunneling radiation of Kehagias-Sfetsos black hole under generalized uncertainty principle
• Vanishing Compactness Gap and Fermionic Compact Dark Matter in Hořava-Lifshitz Gravity