https://doi.org/10.1140/epjc/s10052-018-6252-8
Regular Article - Theoretical Physics
The remnant and phase transition of a Finslerian black hole
1
College of Physics Science and Technology, Shenyang Normal University, Shenyang, 110034, China
2
Physics and Space Science College, China West Normal University, Nanchong, 637009, China
3
School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu, 610054, China
* e-mail: zwfengphy@163.com
Received:
7
August
2018
Accepted:
14
September
2018
Published online:
24
September
2018
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.
© The Author(s), 2018