The critical behaviors of the black holes with the generalized uncertainty principle. (31st July 2018)

• Record Type: Journal Article
• Authors: Sun, Zhu; Ma, Meng-Sen
• Is Part Of: Europhysics letters. Volume 122:Number 6(2018:Jun.)
• Publication Date: 2018-07-31
• Subjects: 04.70.Dy -- 04.60.Bc; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/122/60002
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: 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 .