Phase transition structure and breaking of universal nature of central charge criticality in a BornInfeld AdS black hole
Abstract
In this paper we have considered the thermodynamics of a BornInfeld AdS black hole using inputs from the dual boundary field theory. Here, we have varied the cosmological constant Λ and Newton's gravitational constant G along with the BornInfeld parameter b in the bulk. A novel universal critical behavior of the central charge (occurring in the boundary conformal field theory) in extended black hole thermodynamics for charged black holes has been recently observed [Cong et al.,Phys. Rev. Lett. 127, 091301 (2021)., 10.1103/PhysRevLett.127.091301], and we have extended this study to BornInfeld AdS black holes. The BornInfeld parameter has the dimension of inverse length, therefore, when considered in the first law of thermodynamics of the bulk in the mixed form, which includes the central charge of the boundary conformal field theory, it modifies the thermodynamic volume and the chemical potential (which are conjugate to pressure and central charge, respectively). We observe that due to this inclusion of the BornInfeld nonlinearity in this analysis, the universal nature of the critical value of the central charge observed in [Cong et al., Phys. Rev. Lett. 127, 091301 (2021), 10.1103/PhysRevLett.127.091301] breaks down. We also observe an interesting behavior of the free energy of the black hole with Hawking temperature due to the variations in both the central charge and the BornInfeld parameter. It is also observed in our analysis that for a sufficiently small value of the BornInfeld parameter (a small value of this parameter has more prominent nonlinear effects), there exists a critical value of the temperature below which no black hole can exist.
 Publication:

Physical Review D
 Pub Date:
 July 2022
 DOI:
 10.1103/PhysRevD.106.026005
 arXiv:
 arXiv:2206.00440
 Bibcode:
 2022PhRvD.106b6005K
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 This revised version of the manuscript has been accepted for publication in Physical Review D