Regular magnetic black holes and monopoles from nonlinear electrodynamics
Abstract
It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian L(F), F=F_{μν}F^{μν} having a correct weak field limit, leads to nontrivial spherically symmetric solutions with a globally regular metric if and only if the electric charge is zero and L(F) tends to a finite limit as F>∞. The properties and examples of such solutions, which include magnetic black holes and solitonlike 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 the FP duality) is used as a tool for this comparison.
 Publication:

Physical Review D
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevD.63.044005
 arXiv:
 arXiv:grqc/0006014
 Bibcode:
 2001PhRvD..63d4005B
 Keywords:

 04.20.Jb;
 04.20.Dw;
 04.70.Bw;
 Exact solutions;
 Singularities and cosmic censorship;
 Classical black holes;
 General Relativity and Quantum Cosmology
 EPrint:
 6 pages, Latex2e. One more theorem, some comments and two references have been added. Final journal version