Black Holes in Double-Logarithmic Nonlinear Electrodynamics

Abstract

The electric and magnetic black hole solutions are found by coupling the recently introduced nonlinear electrodynamics (NED) model, called "double logharitmic nonlinear electrodynamics" with cosmological Einstein gravity. The solutions become Reissner-Nordstrom (RN) black hole in the weak field limit and asymptotically. The electric solution is expressed as an integral equation while the magnetic black hole solution is expressed in terms of elementary functions. Hence, the thermodynamic structure of the magnetic black hole solution is analyzed by deriving the modified Smarr's formula and studying the first law of thermodynamics. Moreover, its stability is investigated by deriving the heat capacity.

10 pages, 2 figures

References in corpus (17)

• Regular black holes with a nonlinear electrodynamics source
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• A model of nonlinear electrodynamics
• Cosmological Effects of Nonlinear Electrodynamics
• Nonlinear electrodynamics and magnetic black holes
• Black hole as a magnetic monopole within exponential nonlinear electrodynamics
• Nonlinear arcsin-electrodynamics
• Rotating Black String with Nonlinear Source
• Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• On Generalized Logarithmic Electrodynamics
• Asymptotically anomalous black hole configurations in gravitating nonlinear electrodynamics
• Nonlinear electrodynamics and black holes
• Corrections to Reissner-Nordström black hole solution due to exponential nonlinear electrodynamics
• Charged black hole solutions of non-linear electrodynamics and generalized gauge field theories
• Black holes from generalized gauge field theories

Cited by in corpus (9)

• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Optical Features of Rotating Black Hole with Nonlinear Electrodynamics
• Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic
• Corrected thermodynamics of nonlinear magnetic-charged black hole surrounded by perfect fluid dark matter
• Charged black holes from a family of Born-Infeld-type electrodynamics models
• The electrodynamic origin of the wave-particle duality
• Dynamics of Geodesics in Non-linear Electrodynamics Corrected Black Hole and Shadows of its Rotating Analogue
• Lovelock black holes with double-logarithmic electrodynamics source