Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance

Abstract

We start this paper by concisely rederiving ModMax, which is nothing but the unique nonlinear extension of Maxwell's equations preserving conformal and duality invariance. The merit of this new derivation is its transparency and simplicity since it is based on an approach where the elusive duality invariance is manifest. In the second part, we couple the ModMax electrodynamics to Einstein gravity with a cosmological constant together with a standard conformal scalar field, and new stationary spacetimes with dyonic charges are found. These solutions are later used as seed configurations to generate nonlinearly charged (super-)renormalizably dressed spacetimes by means of a known generating method that we extend to include any nonlinear conformal electrodynamics. We end by addressing the issue of how to generalize some of these results to include the recently studied non-Noetherian conformal scalar fields, whose equation of motion still enjoys conformal symmetry even though its action does not. It turns out that the static non-Noetherian conformally dressed black holes also become amenable to being charged by ModMax.

14 pages

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Cited by in corpus (9)

• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Exact multiblack hole spacetimes in Einstein-ModMax theory
• Scattering and absorption of massless scalar waves by a ModMax black hole
• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• The dyonic Kerr-Schild ansatz
• Kundt Gravitational Waves Coupled with a Non-Noetherian Conformal Scalar Field
• Self-dual instantons and gravitating dyons in non-Abelian ModMax theory
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy