Static and radiating dyonic black holes coupled to conformally invariant electrodynamics in higher dimensions

Abstract

We investigate the complete family of (aligned) Robinson-Trautman spacetimes sourced by conformally invariant non-linear electrodynamics in $D$ dimensions in the presence of an arbitrary cosmological constant. After presenting general features of the solutions (which exist only in even dimensions), we discuss in more detail some particular subclasses. Static metrics contain dyonic black holes with various possible horizon geometries (Kähler if there is a magnetic field, including flat branes) and different asymptotics. In addition, there exist also time-dependent solutions (not possible in the $D>4$ linear theory) which may represent white hole evaporation by emission of electromagnetic radiation (or a time-reversed picture of black hole formation). For those, we comment on a quasi-local characterization of possible past horizons. Finally, we briefly discuss the special case of stealth solutions. In an appendix, a theory-independent result on the redundancy of the gravity part of the field equations for Robinson-Trautman spacetimes is further obtained.

arXiv comment25 pages, 1 table, 4 figures. v2: a few comments and references added, results unchanged

References in corpus (44)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Topological Black Holes in Anti-de Sitter Space
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Spacetime as a membrane in higher dimensions
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Super-energy tensors
• Magnetic Brane Solutions in AdS
• Higher dimensional charged $f(R)$ black holes
• Thermodynamics of charged black holes with a nonlinear electrodynamics source
• On p-form gauge theories and their conformal limits
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Robinson-Trautman spacetimes in higher dimensions
• Lovelock black holes with a power-Yang-Mills source
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Shaping black holes with free fields
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension
• Hairy black holes sourced by a conformally coupled scalar field in D dimensions
• Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
• Self-gravitating Yang Monopoles in all Dimensions
• Magnetic black holes with higher-order curvature and gauge corrections in even dimensions
• Topological black hole in the theory with nonminimal derivative coupling with power-law Maxwell field and its thermodynamics
• Electromagnetic fields with vanishing scalar invariants
• Lovelock black holes with non-constant curvature horizon
• Static and radiating p-form black holes in the higher dimensional Robinson-Trautman class
• Electromagnetic fields with vanishing quantum corrections
• Past horizons in Robinson-Trautman spacetimes with a cosmological constant
• Spacetimes dressed with stealth electromagnetic fields
• Higher dimensional spacetimes with a geodesic, shearfree, twistfree and expanding null congruence
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• Algebraic structure of Robinson-Trautman and Kundt geometries in arbitrary dimension
• Universal electromagnetic fields
• Robinson--Trautman solution with nonlinear electrodynamics
• Universal Black Holes
• Black hole formation by incoming electromagnetic radiation
• On the well posedness of Robinson Trautman Maxwell solutions
• Past horizons in D-dimensional Robinson-Trautman spacetimes
• Horizons in Robinson-Trautman space-times
• Universal $p$-form black holes in generalized theories of gravity

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• Self-energy problem, vacuum polarization, and dual symmetry in Born-Infeld-type $U(1)$ gauge theories
• Symmetric black-to-white hole solutions with a cosmological constant
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Almost Robinson geometries
• All non-expanding gravitational waves in $D$-dimensional (anti-)de Sitter space
• Thin-shell wormholes in N-dimensional F(R) gravity