Constraints on singularity resolution by nonlinear electrodynamics

Abstract

One of the long standing problems is a quest for regular black hole solutions, in which a resolution of the spacetime singularity has been achieved by some physically reasonable, classical field, before one resorts to the quantum gravity. The prospect of using nonlinear electromagnetic fields for this goal has been limited by the Bronnikov's no-go theorems, focused on Lagrangians depending on the electromagnetic invariant $F_{ab}{F}^{ab}$ only. We extend Bronnikov's results by taking into account Lagrangians that depend on both electromagnetic invariants, $F_{ab}{F}^{ab}$ and $F_{ab}\star F^{ab}$, and prove that the tension between the Lagrangian's Maxwellian weak field limit and boundedness of the curvature invariants persists in more general class of theories.

10 pages (two columns); ver.2: several references added; ver. 3: version accepted for publication in Physical Review D

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Cited by in corpus (22)

• Regular black holes: A short topic review
• Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows
• Transforming singular black holes into regular black holes sourced by nonlinear electrodynamics
• Novel regular black holes: geometry, source and shadow
• Lagrangian reverse engineering for regular black holes
• Generalizations and challenges for the spacetime block-diagonalization
• Topological Mod(A)Max AdS black holes
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Conundrum of regular black holes with nonlinear electromagnetic fields
• Dyonic regular black bounce solutions in General Relativity
• Thermal and Optical Signatures of Einstein-Dyonic ModMax Black Holes with GUP and Plasma Modifications
• Weighing the curvature invariants
• General Framework for the Spontaneous Scalarization of Regular Black Holes
• Aspects of a novel nonlinear electrodynamics in flat spacetime and in a gravity-coupled scenario
• Hexadecapole at the heart of nonlinear electromagnetic fields
• Gravitational waveforms from periodic orbits around a novel regular black hole
• Noncommutative dyonic black holes sourced by nonlinear electromagnetic fields
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity