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Regular magnetic black holes and monopoles from nonlinear electrodynamics
Open accessAbstract
It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F),$ ${F=F}_{\ensuremath{\mu}\ensuremath{\nu}}{F}^{\ensuremath{\mu}\ensuremath{\nu}}$ 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 $\stackrel{\ensuremath{\rightarrow}}{F}\ensuremath{\infty}.$ 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 $\mathrm{FP}$ duality) is used as a tool for this comparison.
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Cites
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String Theory and Noncommutative GeometryPreprint
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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
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New regular black hole solution from nonlinear electrodynamics
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Cited by
Okyay, M., & Övgün, A. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/01/009 · Cited by 259
Dynamical Formation of Regular Black Holes
Bueno, P., Cano, P. A., Hennigar, R. A., & Murcia, Á. J. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.181401 · Cited by 60
Metadata
- Authors
- Bronnikov, K. A.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2001-01-17
- Volume
- 63
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W1979332601
- Cited by
- 872
- References
- 14
- FWCI
- 1.66
- Type
- journal article
- Language
- en
- Open access
- green
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