https://doi.org/10.1140/epjc/s10052-016-4393-1
Regular Article - Theoretical Physics
Thermodynamic stability of modified Schwarzschild–AdS black hole in rainbow gravity
1
Research Institute of Physics and Chemistry, Chonbuk National University, Jeonju, 54896, Korea
2
Department of Physical Therapy, Seonam University, Namwon, 55724, Korea
3
Department of Physics, Sogang University, Seoul, 04107, Korea
* e-mail: ywkim65@gmail.com
Received:
29
July
2016
Accepted:
20
September
2016
Published online:
17
October
2016
In this paper, we have extended the previous study of the thermodynamics and phase transition of the Schwarzschild black hole in the rainbow gravity to the Schwarzschild–AdS black hole where metric depends on the energy of a probe. Making use of the Heisenberg uncertainty principle and the modified dispersion relation, we have obtained the modified local Hawking temperature and thermodynamic quantities in an isothermal cavity. Moreover, we carry out the analysis of constant temperature slices of a black hole. As a result, we have shown that there also exists another Hawking–Page-like phase transition in which case a locally stable small black hole tunnels into a globally stable large black hole as well as the standard Hawking–Page phase transition from a hot flat space to a black hole.
© The Author(s), 2016
