Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
arXiv:2405.13210 · doi:10.3390/e26030261
Abstract
We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their asymptotic and corrections to the Reissner--Nordström metric function when the cosmological constant vanishes. The first law of black hole thermodynamics in extended phase space is formulated and the magnetic potential and the thermodynamic conjugate to the coupling are obtained. We proved the generalized Smarr relation. The heat capacity and the Gibbs free energy are computed and phase transitions are studied. It was shown that the electric field of charged objects at the origin and electrostatic self-energy are finite within the nonlinear electrodynamics proposed.
arXiv comment17 pages, 6 figures
References in corpus (22)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Thermodynamics of Spacetime: The Einstein Equation of State
- Enthalpy and the Mechanics of AdS Black Holes
- Thermodynamical Aspects of Gravity: New insights
- Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
- Black hole chemistry: thermodynamics with Lambda
- Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Pressure and volume in the first law of black hole thermodynamics
- The cosmological constant and the black hole equation of state
- Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
- Black Hole Chemistry
- Compressibility of rotating black holes
- Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
- A model of nonlinear electrodynamics
- Universe acceleration and nonlinear electrodynamics
- Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
- Black holes and Boyle's law -- the thermodynamics of the cosmological constant
- Inflation of universe due to nonlinear electrodynamics
- Rational nonlinear electrodynamics causes the inflation of the universe
- Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics