Regular magnetic black holes and monopoles from nonlinear electrodynamics

Jun, 2000
5 pages
Published in:
  • Phys.Rev.D 63 (2001) 044005
e-Print:

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Abstract: (arXiv)
It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian L(F)L(F), F=FmnFmnF = F_mn F^mn having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally regular metric if and only if the electric charge is zero and L(F)L(F) tends to a finite limit as FF \to \infty. Properties and examples of such solutions, which include magnetic black holes and soliton-like objects (monopoles), are discussed. Magnetic solutions are compared with their electric counterparts. A duality between solutions of different theories specified in two alternative formulations of NED (called FPFP duality) is used as a tool for this comparison.
  • black hole: magnetic
  • general relativity
  • electromagnetic field: nonlinear
  • duality
  • symmetry: rotation
  • magnetic monopole
  • dyon