Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity

Abstract

We study static (electrically)-charged solutions of Eddington-inspired Born-Infeld (EiBI) theory of gravity in general $D$-dimensional spacetime. We consider both linear (Maxwell) as well as nonlinear electrodynamics for the matter fields. In this particular work, the nonlinear theory we specifically consider is the Born-Infeld electrodynamics. The solutions describe higher-dimensional black holes in EiBI gravity. For the linear Maxwell field, we show that the electric field is still singular for $D>4$. This singularity is cured when EiBI is coupled to the BI electrodynamics. We obtain EiBI-BI black hole solutions in the limit of $\tilde{\alpha }\equiv 4\kappa b^2/\lambda =1$ and $2$. We also investigate their thermodynamical property. It is found that $\kappa$ imposes a charge screening that makes the corresponding Hawking temperature experiences some sudden jump from charged-type to the Schwarzschild-type at some critical value of $\kappa$. Thermodynamical stability reveals that the EiBI-BI black holes can exist with smaller horizon than the RN.

arXiv comment36 pages, 16 figures, accepted for publication in Nucl. Phys. B

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Charged AdS Black Holes and Catastrophic Holography
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes
• Eddington's theory of gravity and its progeny
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Born-Infeld-Einstein Actions?
• Born-Infeld inspired modifications of gravity
• Born-Infeld black holes in the presence of a cosmological constant
• Born-Infeld Black Holes in (A)dS Spaces
• Dirty blackholes: Thermodynamics and horizon structure
• Compact stars in Eddington inspired gravity
• Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• New insights on the matter-gravity coupling paradigm
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Dilatonic BTZ black holes with power-law field
• Regular black holes in $f(R)$ gravity coupled to nonlinear electrodynamics
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity
• Rotating Black String with Nonlinear Source
• Wormholes with nonexotic matter in Born-Infeld gravity
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Born-Infeld gravity coupled to Born-Infeld electrodynamics
• Properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity
• Rotating Black Branes in the presence of nonlinear electromagnetic field
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Born-Infeld Gravity in any Dimension
• Magnetically charged black hole in framework of nonlinear electrodynamics model
• Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
• Nonlinear electrodynamics and black holes
• Hyperons in neutron stars within Eddington-inspired Born-Infeld theory of gravity
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
• Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity
• The effects of nonlinear Maxwell source on the magnetic solutions in Einstein-Gauss-Bonnet gravity
• Magnetic solutions in Einstein-massive gravity with linear and nonlinear fields
• Entropy in Born-Infeld Gravity
• Compactness, masses and radii of compact stars within the Eddington-inspired Born-Infeld theory
• Discussion of a possible corrected black hole entropy

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