Abstract
In this paper, we study the quantum tunneling of non-asymptotically flat Park black hole in IR modified Hořava gravity, as well as its thermodynamical stability. In order to calculate the quantum tunneling more comprehensively, Kraus–Parikh–Wilczek method and Hamilton–Jacoby method are used together. The results show that two methods give us the same logarithmic modified entropy, namely \(S = (\alpha - \Lambda _W) A/4\alpha + \pi /\alpha \ln A/4\). This kind of logarithmic entropy is explained well by the effect of self-gravitation in quantum tunneling picture. At tow that the thermodynamics is stable for small case (\(r_+ r_3\)) where \(r_3\) is the critical position of Park solution, which is concordant with asymptotically flat case shown by Kehagias–Sfetsos (Phys. Lett. B 678:127, 2009).
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