Charged anti-de Sitter scalar-tensor black holes and their thermodynamic phase structure

Abstract

In the present paper we numerically construct new charged anti-de Sitter black holes coupled to nonlinear Born-Infeld electrodynamics within a certain class of scalar-tensor theories. The properties of the solutions are investigated both numerically and analytically. We also study the thermodynamics of the black holes in the canonical ensemble. For large values of the Born-Infeld parameter and for a certain interval of the charge values we find the existence of a first-order phase transition between small and very large black holes. An unexpected result is that for a certain small charge subinterval two phase transitions have been observed, one of zeroth and one of first order. It is important to note that such phase transitions are also observed for pure Einstein-Born-Infeld-AdS black holes.

35 pages, 23 figures; v2: typos corrected, comments and references added

References in corpus (14)

• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Topological Born-Infeld-dilaton black holes
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential
• Phase transition for black holes with scalar hair and topological black holes
• Thermodynamical properties of topological Born-Infeld-dilaton black holes
• Phase transitions in higher derivative gravity and gauge theory: R-charged black holes
• Thermodynamics of Born-Infeld Black Holes
• Phase transition between non-extremal and extremal Reissner-Nordström black holes
• Phase Transitions Between Solitons and Black Holes in Asymptotically AdS/$Z_k$ Spaces

Cited by in corpus (12)

• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• f(R) Black holes
• $P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics
• Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
• Extended phase space thermodynamics and $P-V$ criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes
• Thermodynamic analysis of black hole solutions in gravitating nonlinear electrodynamics
• Ehrenfest scheme for complex thermodynamic systems in full phase space
• Universal Relations and Alternative Gravity Theories
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Multipole moments and universal relations for scalarized neutron stars
• Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics
• Generalized thermodynamic identity and new Maxwell's law for charged AdS black hole