Taub-NUT solutions in conformal electrodynamics
Alvaro Ballon Bordo, David Kubizňák, T. Rick Perche
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 [1], [2], 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. The thermodynamics of the new solution, the charged black hole limit of vanishing NUT parameter, and the self-dual solutions are also briefly discussed.
Topics & Concepts
Conformal symmetryPhysicsSpacetimeMathematical physicsDuality (order theory)Symmetry (geometry)Conformal mapVacuum solutionConformal field theoryTheoretical physicsQuantum electrodynamicsClassical mechanicsQuantum mechanicsMathematicsMathematical analysisGeometryPure mathematicsBlack Holes and Theoretical PhysicsQuantum Electrodynamics and Casimir EffectNoncommutative and Quantum Gravity Theories