AdS Black Hole with Phantom Scalar Field. (15th October 2017)

• Record Type: Journal Article
• Authors: Zhang, Limei; Zeng, Xiaoxiong; Li, Zhonghua
• Other Names: Li Li Academic Editor.
• Is Part Of: Advances in high energy physics. Volume 2017(2017)
• Publication Date: 2017-10-15
• Subjects: Particles (Nuclear physics) -- Periodicals; Particles (Nuclear physics); Periodicals; 539.76
• DOI: 10.1155/2017/4940187
• Languages: English
• ISSNs: 1687-7357

Abstract

Abstract : We present an AdS black hole solution with Ricci flat horizon in Einstein-phantom scalar theory. The phantom scalar fields just depend on the transverse coordinates x and y, which are parameterized by the parameter α . We study the thermodynamics of the AdS phantom black hole. Although its horizon is a Ricci flat Euclidean space, we find that the thermodynamical properties of the black hole solution are qualitatively the same as those of AdS Schwarzschild black hole. Namely, there exists a minimal temperature and the large black hole is thermodynamically stable, while the smaller one is unstable, so there is a so-called Hawking-Page phase transition between the large black hole and the thermal gas solution in the AdS space-time in Poincare coordinates. We also calculate the entanglement entropy for a strip geometry dual to the AdS phantom black holes and find that the behavior of the entanglement entropy is qualitatively the same as that of the black hole thermodynamical entropy.