2005
DOI: 10.1103/physrevd.71.124014
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Anisotropic cosmological models with nonminimally coupled magnetic field

Abstract: Motivated by the structure of one-loop vacuum polarization effects in curved spacetime we discuss a non-minimal extension of the EinsteinMaxwell equations. This formalism is applied to Bianchi I models with magnetic field. We obtain several exact solutions of the non-minimal system including those which describe an isotropization process. We show that there are inflationary solutions in which the cosmological constant is determined by the non-minimal coupling parameters. Furthermore, we find an isotropic de Si… Show more

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Cited by 21 publications
(40 citation 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%
See 1 more Smart Citation
“…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%
“…When q 1 vanishes we take the equation (20) instead of (18), and exponential function exp{κ(4q 2 + q 3 )/4r 4 } instead of (1 + κ|q 1 |/r 4 ) β . The procedure for obtaining the basic inequalities is similar to the one used in the previous case, and it yields the same inequalities (25).…”
Section: Conditions For the Absence Of Naked Singularitymentioning
confidence: 99%
“…Now, after choosing a model, specified by q and by the relations between q 1 , q 2 , and q 3 , it is important to study exact solutions. Exact solutions of the equations of nonminimal electrodynamics in nonlinear gravitational wave backgrounds were obtained in [10 -14], and a nonminimal Bianchi-I cosmological solution was discussed in [15] in this context. Here we want to study charged black hole and other charged solutions of nonminimal models.…”
Section: Introductionmentioning
confidence: 99%
“…Let us extract from [61] one of the exact solutions of the non-minimally extended Bianchi-I model with magnetic field (Φ = 0). This solution is characterized by the following features.…”
Section: Exactly Integrable Examplementioning
confidence: 99%