Volume 122, Number 6, June 2018
|Number of page(s)||6|
|Published online||31 July 2018|
The critical behaviors of the black holes with the generalized uncertainty principle
1 Department of Physics, Shanxi Datong University - Datong 037009, China
2 Institute of Theoretical Physics, Shanxi Datong University - Datong 037009, China
Received: 29 March 2018
Accepted: 5 July 2018
After considering the effect of the generalized uncertainty principle (GUP), we investigate the thermodynamic critical behaviors of the Schwarzschild-AdS (SAdS) black hole and the Reissner-Nordström-AdS (RN-AdS) black hole in four-dimensional spacetime. It is shown that for the SAdS black hole the Hawking-Page phase transition no longer always occurs under a certain condition which is replaced by a zero-order phase transition from the thermal AdS space to the large stable black hole. For the RN-AdS black hole, besides the usual small/large black-hole phase transition, an interesting reentrant phase transition also appears. This critical behavior is very similar to that of the Kerr-AdS black hole in higher-dimensional spacetime .
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.60.Bc – Phenomenology of quantum gravity
© EPLA, 2018
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