Scalar, electromagnetic, and gravitational fields interaction: Particlelike solutions

Бронников, К. А.; Melnikov, V. N.; Шикин, Г. Н.; Staniukovich, K. P.

doi:10.1016/0003-4916(79)90235-5

Cited by 91 publications

(81 citation statements)

References 15 publications

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“…The most famous of such theories, the Born-Infeld NED, has recently gained much attention as a limiting case of certain models of string theory (see [5] for reviews). It has been shown, however [6,7], that in NED with any L(F ) such that L ∼ const · F at small F (the Maxwell weak-field limit), static, spherically symmetric electro-gravitational configurations with a regular center cannot exist. The same is true for dyonic configurations.…”

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confidence: 99%

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Regular magnetic black holes and monopoles from nonlinear electrodynamics

2001

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It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian L(F ) , F = Fµν 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 → ∞ . 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 F P duality) is used as a tool for this comparison.

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mentioning

confidence: 99%

“…Let us begin with a proof of the non-existence theorem, extending it, as compared with [6,7], to dyonic systems. Throughout the paper all relevant functions are assumed to be sufficiently smooth, unless otherwise indicated.…”

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confidence: 99%

Regular magnetic black holes and monopoles from nonlinear electrodynamics

2001

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“…Let α satisfy ρ e cos α + ρ m sin α = ρ h , ρ m cos α − ρ e sin α = 0, (63) so the equivalent charge density is ρ h = ρ 2 e + ρ 2 m , and the equivalent charge becomes q 2 h = q 2 e + q 2 m . Then the equivalent electromagnetic vector potential should bê…”

Section: Appendix Cmentioning

confidence: 99%

Nonlinear electromagnetic quasinormal modes and Hawking radiation of a regular black hole with magnetic charge

Lin

Yang

2015

Eur. Phys. J. C

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Based on a regular exact black hole (BH) from nonlinear electrodynamics (NLED) coupled to general relativity, we investigate the stability of such BH through the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbations and its thermodynamics through Hawking radiation. In perturbation theory, we can deduce the effective potential from a nonlinear EM field. The comparison of the potential function between regular and RN BHs could predict similar QNMs. The QNM frequencies tell us the effect of the magnetic charge q, the overtone n, and the angular momentum number l on the dynamic evolution of NLED EM field. Furthermore we also discuss the cases of near-extreme conditions of such a magnetically charged regular BH. The corresponding QNM spectrum illuminates some special properties in the near-extreme cases. For the thermodynamics, we employ the Hamilton-Jacobi method to calculate the nearhorizon Hawking temperature of the regular BH and reveal the relationship between the classical parameters of the black hole and its quantum effects.

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“…While the exact expression for a full analytical solution is unknown, it is possible to solve the system (16) and (17) using the approximation of weak EM coupling …”

Section: Approximate Analytical Solutionmentioning

confidence: 99%

“…The wormhole models were criticized by Wheeler for issues of stability, non-quantized charge, wrong mass-charge ratio and spin [15]. Numerous attempts towards finding regular particle-like solutions were made in conventional and nonlinear electrodynamics [16], both with and without engaging general relativity [17][18][19][20][21][22][23][24][25][26][27][28]. Another interesting approach is wave-corpuscle mechanics (for a review see [29]).…”

Section: Introductionmentioning

confidence: 99%

Singularity-free model of electric charge in physical vacuum: non-zero spatial extent and mass generation

Dzhunushaliev¹,

Zloshchastiev

2013

Open Physics

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Abstract:We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in contrast to the EM field propagating in a trivial vacuum, a regular solution does exist, and both its mass and spatial extent emerge naturally from dynamics. It is demonstrated that the charge and energy density distribution acquire Gaussian-like form. The solution in the logarithmic model is stable and energetically favourable, unlike that obtained in a model with a quartic (Higgs-like) potential.

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Scalar, electromagnetic, and gravitational fields interaction: Particlelike solutions

Cited by 91 publications

References 15 publications

Regular magnetic black holes and monopoles from nonlinear electrodynamics

Regular magnetic black holes and monopoles from nonlinear electrodynamics

Nonlinear electromagnetic quasinormal modes and Hawking radiation of a regular black hole with magnetic charge

Singularity-free model of electric charge in physical vacuum: non-zero spatial extent and mass generation

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