Electromagnetic Quasitopological Gravities

Abstract

We identify a set of higher-derivative extensions of Einstein-Maxwell theory that allow for spherically symmetric charged solutions characterized by a single metric function $f(r)=-g_{tt}=1/g_{rr}$. These theories are a non-minimally coupled version of the recently constructed Generalized Quasitopological gravities and they satisfy a number of properties that we establish. We study magnetically-charged black hole solutions in these new theories and we find that for some of them the equations of motion can be fully integrated, enabling us to obtain analytic solutions. In those cases we show that, quite generally, the singularity at the core of the black hole is removed by the higher-derivative corrections and that the solution describes a globally regular geometry. In other cases, the equations are reduced to a second order equation for $f(r)$. Nevertheless, for all the theories it is possible to study the thermodynamic properties of charged black holes analytically. We show that the first law of thermodynamics holds exactly and that the Euclidean and Noether-charge methods provide equivalent results. We then study extremal black holes, focusing on the corrections to the extremal charge-to-mass ratio at a non-perturbative level. We observe that in some theories there are no extremal black holes below certain mass. We also show the existence of theories for which extremal black holes do not represent the minimal mass state for a given charge. The implications of these findings for the evaporation process of black holes are discussed.

56 pages, 6 figures. Matches version published in JHEP. New appendix added explaining the validity of the reduced Lagrangian method to obtain the equations of motion

References in corpus (21)

• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Beyond eta/s = 1/4pi
• Black Holes in Higher-Derivative Gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Universality of corner entanglement in conformal field theories
• Quantum corrections to eta/s
• Quasinormal modes of Einstein-Gauss-Bonnet-dilaton black holes
• Four-dimensional black holes in Einsteinian cubic gravity
• Cosmology in cubic and $f(P)$ gravity
• Lovelock theories, holography and the fate of the viscosity bound
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Slowly rotating black holes in Einsteinian cubic gravity
• Duality and Axionic Weak Gravity
• Duality Invariance and Higher Derivatives
• Energy and Angular Momentum in Generic F(Riemann) Theories
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Anisotropic instability in a higher order gravity theory
• Einstein Quartic Gravity: Shadows, Signals, and Stability
• A New Vector-Tensor Theory and Higher-Dimensional Cosmology

Cited by in corpus (23)

• A novel family of rotating black hole mimickers
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Regular black holes in three dimensions
• Generalized quasi-topological gravities: the whole shebang
• On the classification of Generalized Quasitopological Gravities
• Action principle selection of regular black holes
• Duality-invariant extensions of Einstein-Maxwell theory
• Regular black holes and gravitational particle-like solutions in generic DHOST theories
• Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities
• Higher-derivative holography with a chemical potential
• A universal feature of charged entanglement entropy
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Holographic explorations of regular black holes in pure gravity
• General Relativity from Einstein-Gauss-Bonnet gravity
• Exact electromagnetic duality with nonminimal couplings
• Black Holes with Abelian and Non-Abelian Charges and Their Impact on Matter Accretion Flows
• On regular charged black holes in three dimensions
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Constraining the rotating Simpson-Visser spacetime from the observed quasi-periodic oscillations in black holes
• First Law of Black Hole in the Gravitational Electromagnetic System
• Aspects of three-dimensional higher-curvature gravities