Ray optics in the field of a nonminimal Dirac monopole

Balakin, Alexander B.; Zayats, Alexei E.

doi:10.1134/s0202289308010118

Cited by 20 publications

(43 citation statements)

References 20 publications

(34 reference statements)

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“…One attempt to realize this idea was made in [7], where the approach based on the symmetry of the susceptibility tensor R ikmn (3) is proposed. In [8,9,13,18] special sets of coupling parameters were found, for which the metric functions of non-minimally coupled systems happened to be regular, and the absence of singularity became one of the arguments for the non-minimal extension of the Einstein-Maxwell theory.…”

Section: Discussionmentioning

confidence: 99%

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Nonminimal monopoles of the Dirac type as realization of the censorship conjecture

2009

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We discuss a class of exact solutions of a three-parameter non-minimally extended EinsteinMaxwell model, which are attributed to non-minimal magnetic monopoles of the Dirac type. We focus on the investigation of the gravitational field of Dirac monopoles for those models, for which the singularity at the central point is hidden inside of an event horizon independently on the mass and charge of the object. We obtained the relationships between the non-minimal coupling constants, for which this requirement is satisfied. As explicit examples, we consider in detail two one-parameter models: first, non-minimally extended Reissner-Nordström model (for the magnetically charged monopole), second, the Drummond-Hathrell model.

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Section: Discussionmentioning

confidence: 99%

“…In the papers [9,13] we attracted a special attention to the solution (17)- (20) with regular metric. In particular, it was shown that, when q 1 = −q, q 2 = 4q, q 3 = −6q and q is positive, there are no horizons if the mass of the monopole is less than some critical mass M (crit) .…”

Section: Conditions For the Absence Of Naked Singularitymentioning

confidence: 99%

Nonminimal monopoles of the Dirac type as realization of the censorship conjecture

2009

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“…The problem of absence of the central spacetime singularity in the spherically symmetric objects has been raised by Bardeen in [10], and during next fifty years this problem has been studied in many aspects (see, e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]); mostly, the nonlinear electromagnetic field was considered as the guarantor of the regularity. Nonminimal coupling of the gauge and electromagnetic fields to the spacetime curvature, as a cause of regularity, was discussed in the papers [28][29][30][31][32][33]. In other words, there are at least two theories: first, the nonlinear electrodynamics, second, the nonminimal field theory, in the framework of which one can provide the regularity of the gravitational field at the center of the magnetic monopoles.…”

Section: Introductionmentioning

confidence: 99%

Nonminimal dyons with regular gravitational, electric and axion fields

Balakin,

Groshev

2020

Preprint

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We consider the distribution of the axionic dark matter and the profiles of the axionically induced electric field on the background of a regular magnetic monopole. The background static spherically symmetric spacetime is considered to be regular at the center of the object and has no event horizons, the nonminimal interaction of strong gravitational and monopole type magnetic fields being the source, which provides this regularity. We assume that the pseudoscalar (axion) field also is nonminimally coupled to the electromagnetic and gravitational fields, and we search for solutions to the extended equations of nonminimal axion electrostatics, which satisfy two requirements: first, the axionically induced radial electric field vanishes at the center; second, the pseudoscalar field is regular at the center of the formed axionic dyon. We have found the set of parameters, describing the nonminimal axion-photon coupling, for which both requirements are satisfied. Properties of the two-parameter family of regular solutions to the equations of nonminimal axion electrostatics are analyzed numerically. The regular axionically induced electric field is shown to have the structure, which is typical for a simple electric layer.

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“…54, a three-parameter gauge-invariant nonminimal EYM model linear in curvature is considered. [55][56][57][58] Our goal is to formulate a nonminimal Einstein-Yang-Mills-Higgs (EYMH) theory, and this process, of course, also admits different approaches. In fact, the nonminimal EYMH theory should accumulate the ideas and methods from both the nonminimally extended EYM theory and the nonminimally extended scalar field theory.…”

Section: Introductionmentioning

confidence: 99%

Nonminimal Isotropic Cosmological Model With Yang–mills and Higgs Fields

Balakin

Dehnen

Zayats

2008

Int. J. Mod. Phys. D

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We establish a nonminimal Einstein-Yang-Mills-Higgs model, which contains six coupling parameters. The first three parameters relate to the nonminimal coupling of a non-Abelian gauge field and a gravity field, the next two parameters describe the so-called derivative nonminimal coupling of a scalar multiplet with a gravity field, and the sixth parameter introduces the standard coupling of a scalar field with a Ricci scalar. The formulated six-parameter nonminimal Einstein-Yang-Mills-Higgs model is applied to cosmology. We show that there exists a unique exact cosmological solution of the de Sitter type for a special choice of the coupling parameters. The nonminimally extended Yang-Mills and Higgs equations are satisfied for arbitrary gauge and scalar fields, when the coupling parameters are specifically related to the curvature constant of the isotropic space-time. Based on this special exact solution, we discuss the problem of a hidden anisotropy of the Yang-Mills field, and give an explicit example, when the nonminimal coupling effectively screens the anisotropy induced by the Yang-Mills field and thus restores the isotropy of the model.

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Ray optics in the field of a nonminimal Dirac monopole

Cited by 20 publications

References 20 publications

Nonminimal monopoles of the Dirac type as realization of the censorship conjecture

Nonminimal monopoles of the Dirac type as realization of the censorship conjecture

Nonminimal dyons with regular gravitational, electric and axion fields

Nonminimal Isotropic Cosmological Model With Yang–mills and Higgs Fields

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