Critical behaviors of a (2 + 1)-dimensional black hole with a nonlinear electrodynamics source. (16th September 2020)

• Record Type: Journal Article
• Authors: Wang, Li-Hua; He, Yun; Ma, Meng-Sen
• Is Part Of: Communications in theoretical physics. Volume 72:Number 10(2020)
• Publication Date: 2020-09-16
• Subjects: phase transition -- critical phenomena -- (2+1)-dimensional black hole -- nonlinear electrodynamics; Physics -- Periodicals; 530.105
• DOI: 10.1088/1572-9494/aba24e
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: On the basis of a charged BTZ black hole, we add an extra term in the metric function to describe the contribution from nonlinear electrodynamics. In this way we artificially construct a (2 + 1)-dimensional black hole in general relativity coupled with a nonlinear electrodynamics source. The thermodynamic quantities and Smarr formula are derived. It is found that this black hole has T − S criticality like that of an RN-AdS black hole. Further modifying the metric function, we obtain a (2 + 1)-dimensional black hole possessing P − V critical behaviors similar to that of van der Waals fluid. To our knowledge, this is the first example of (2 + 1)-dimensional black holes having this kind of critical behavior.