Taub-NUT solutions in conformal electrodynamics

Nov 26, 2020
7 pages
Published in:
  • Phys.Lett.B 817 (2021) 136312
  • Published: Jun 10, 2021
e-Print:

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Abstract: (Elsevier)
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.
Note:
  • 7 pages, version 2: added a discussion regarding self-dual solutions
  • space-time: Taub-NUT
  • electromagnetic field: nonlinear
  • symmetry: conformal
  • black hole: charge
  • thermodynamics
  • magnetic field
  • SO(2)
  • NUT