Taub-NUT solutions in conformal electrodynamics

Abstract

We construct a novel charged Taub-NUT spacetime, providing a first non-trivial example of a self-gravitating solution to the recently proposed ModMax theory, the most general (1-parametric) theory of non-linear electrodynamics that is characterized by both the conformal symmetry and the $SO(2)$ duality-rotation invariance. The spacetime features non-trivial magnetic fields, in their presence the non-linearity of the field becomes apparent and the solution is distinguished from that of the Maxwell theory. Thermodynamics of the new solution, the charged black hole limit of vanishing NUT parameter, and the self-dual solutions are also briefly discussed.

arXiv comment7 pages, version 2: added a discussion regarding self-dual solutions

References in corpus (18)

• Black hole chemistry: thermodynamics with Lambda
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• A non-linear duality-invariant conformal extension of Maxwell's equations
• Nonlinear electrodynamics with the maximum allowable symmetries
• Black holes and gravitational waves sourced by non-linear duality rotation-invariant conformal electromagnetic matter
• Rehabilitating space-times with NUTs
• Thermodynamics of Lorentzian Taub-NUT spacetimes
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Physical interpretation of NUT solution
• NUT wormholes
• Misner Gravitational Charges and Variable String Strengths
• The First Law for Rotating NUTs
• Topological Terms and the Misner String Entropy
• Non-Linear Electrodynamics in Curved Backgrounds
• On the Smarr formulas for electrovac spacetimes with line singularities
• Aspects of Holography of Taub-NUT-AdS4
• The first law of black hole thermodynamics for Taub-NUT spacetime

Cited by in corpus (34)

• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• Introductory Notes on Non-linear Electrodynamics and its Applications
• On p-form gauge theories and their conformal limits
• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Accelerated Black Holes beyond Maxwell's Electrodynamics
• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
• Magnetic black holes with generalized ModMax model of nonlinear electrodynamics
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Nonlinear extensions of gravitating dyons: from NUT wormholes to Taub-Bolt instantons
• Black Hole Chemistry: the first 15 years
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Considerations on the modified Maxwell electrodynamics in the presence of an electric and magnetic background
• Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism
• Light Propagation in the vicinity of the ModMax black hole
• Exact multiblack hole spacetimes in Einstein-ModMax theory
• Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance
• Gravitational instantons with conformally coupled scalar fields
• Thermodynamics of charged and accelerating black holes
• Axial anomaly in nonlinear conformal electrodynamics
• $Ad{S}_2$ holography and ModMax
• Comparative of light propagation in Born-Infeld, Euler-Heisenberg and ModMax nonlinear electrodynamics
• Topological Mod(A)Max AdS black holes
• ModMax meets Susy
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Coupling ModMax theory precursor with scalars, and BIon-type solutions
• Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
• On generalized ModMax model of nonlinear electrodynamics
• Self-dual instantons and gravitating dyons in non-Abelian ModMax theory
• Conformal scalar NUT-like dyons in conformal electrodynamics
• Metallic transports from Taub-NUT AdS black holes
• Nonconformally Ricci-flat instantons in Conformal Gravity with and without nonlinear matter fields
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy