Reissner-Nordstrom Black Holes in the Inverse Electrodynamics Model

Abstract

We study electric and magnetic monopoles in static, spherically symmetric and constant curvature geometries in the context of the inverse electrodynamics model. We prove that this U(1) invariant Lagrangian density is able to support the standard metric of a Reissner-Nordstrom Black Hole, but with more complex thermodynamical properties than in the standard case. By employing the Euclidean Action approach we perform a complete analysis of its phase space depending on the sign and singularities of the heat capacity and the Helmholtz free energy.

arXiv commentpublished version in JCAP 02 (2015) 042, minor changes, Conclusions enlarged, 9 pages, 4 figures, two-column format

References in corpus (32)

• Black Hole Entropy is Noether Charge
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• 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
• On non-abelian generalisation of Born-Infeld action in string theory
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Geometrical aspects of light propagation in nonlinear electrodynamics
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• Critical phenomena in Born-Infeld AdS black holes
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• The Heisenberg-Euler Effective Action: 75 years on
• Einstein-Euler-Heisenberg Theory and charged black holes
• BPS States of the Non-Abelian Born-Infeld Action
• On the Thermodynamic Geometry and Critical Phenomena of AdS Black Holes
• Stability of Horndeski vector-tensor interactions
• Singularities in General Relativity coupled to nonlinear electrodynamics
• Electrostatic spherically symmetric configurations in gravitating nonlinear electrodynamics
• Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
• Non-Linear Electrodynamics in Curved Backgrounds
• Cosmological magnetic fields from inflation in extended electromagnetism
• Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics
• Dark energy, non-minimal couplings and the origin of cosmic magnetic fields
• Dyons with potentials: duality and black hole thermodynamics
• A longitudinal gauge degree of freedom and the Pais Uhlenbeck field
• Extremal Myers-Perry black holes coupled to Born-Infeld electrodynamics in five dimensions
• Modified spinning black holes

Cited by in corpus (18)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Metric-affine f(R,T) theories of gravity and their applications
• Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics
• Using Dominant and Weak Energy Conditions for build New Classes of Regular Black Holes
• Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Quasinormal modes, greybody factors and thermodynamics of four dimensional AdS black holes in Critical Gravity
• Black hole solutions in functional extensions of Born-Infeld gravity
• Compact objects in conformal nonlinear electrodynamics
• Nonsingular black holes in Palatini extensions of General Relativity
• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Thermodynamic analysis of non-linear Reissner-Nordstrom black holes
• Structure and thermodynamics of charged nonrotating black holes in higher dimensions
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• On generalized ModMax model of nonlinear electrodynamics
• Comment on "Reissner-Nordström Black Holes in the Inverse Electrodynamics Model, [arXiv:1407.4383]"
• Remarks on inverse electrodynamics