The remnant and phase transition of a Finslerian black hole

Abstract

In this paper, taking into account a black hole solution of Finsler theory, we study the remnant and its phase transition close to the Planck scale. Based on the corrected Dirac equation, the quantum tunneling method is applied to derive a revised Hawking temperature-uncertainty relation. Further, with the generalized uncertainty principle(GUP), when the Finsler black hole reaches the Planck scale, the remnant after evaporation is calculated. Meanwhile, according to the phase transition and heat capacity, we analyze thermodynamic stability of the black hole remnant.