Nonminimal coupling and Bianchi type-I cosmologies

Accioly, Antonio; Vaidya, A. N.; Som, M. M.

doi:10.1103/physrevd.28.1853

Cited by 19 publications

(13 citation statements)

References 6 publications

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“…The Lagrangian of such a theory contains the three U(1) gauge-invariant scalars R ikmn F ik F mn , R ik g mn F im F kn and RF mn F mn with coefficients proportional to the square of the Compton wavelength of the electron. Subsequently, a non-minimal coupling of gravity and electromagnetism has been discussed by a number of authors in different settings [8,9,10,11,12,13,14,15,16,17,18]. Non-minimally extended theories were used as a framework to discuss potential limitations of the equivalence principle [19,20,21]).…”

Section: Introductionmentioning

confidence: 99%

“…Most of the investigations so far were devoted to the analysis of the nonminimally modified Maxwell equations on a given background. With the exceptions [8] and [15] the impact of the non-minimal coupling on the gravitational field has been outside the focus of interest. However, one may expect that the rich structure of such type of theories gives rise to novel features in the gravitational dynamics as well.…”

Section: Introductionmentioning

confidence: 99%

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Anisotropic cosmological models with nonminimally coupled magnetic field

Balakin

Zimdahl

2005

Phys. Rev. D

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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 Sitter solution characterized by a "screening" of the magnetic field as a consequence of the non-minimal coupling.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anisotropic cosmological models with nonminimally coupled magnetic field

Balakin

Zimdahl

2005

Phys. Rev. D

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“…Refs. [28][29][30][31][32][33][34][35][36][37][38][39]. Reference 38 revived, as well, the interest in the paradigm: curvature coupling and equivalence principle, various aspects of which are being discussed (see e.g.…”

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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“…Novello and Salim [9] considered the case when both the electric and magnetic vectors are null, in other words their vector potential A μ is curl-free. Authors [10] investigated the effect of the nonminimal coupling when the vector potential is not curl-free. Bianchi type-I exact solutions are obtained.…”

mentioning

confidence: 99%

“…Authors [9][10][11] included the terms RI, R μν A μ A ν (1) in the Lagrangian, where R μν is the Ricci tensor and R is the curvature scalar. Novello and Salim [9] considered the case when both the electric and magnetic vectors are null, in other words their vector potential A μ is curl-free.…”

mentioning

confidence: 99%

The Scalar-photon Coupling with Mie Invariant Within the Scope of Bianchi Type-I Cosmological Model

Muharlyamov

Pankratyeva

2015

Int J Theor Phys

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We investigate the Bianchi type-I cosmological model with the scalar and electromagnetic fields possessing non-minimal couplings. They contain the Mie invariant that leads to the flat Friedman's cosmological model. We found the lagrangian for interaction, which the isotropization process of the expansion takes place. Two cases are considered, when the Mie invariant is constat or time-dependent. We study the canonical scalar field and the phantom one.

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Nonminimal coupling and Bianchi type-I cosmologies

Abstract: Bianchi type-I exact solutions are obtained in two models involving nonminimal coupling of gravitation and other fields.

Cited by 19 publications

References 6 publications

Anisotropic cosmological models with nonminimally coupled magnetic field

Anisotropic cosmological models with nonminimally coupled magnetic field

Nonminimal Isotropic Cosmological Model With Yang–mills and Higgs Fields

The Scalar-photon Coupling with Mie Invariant Within the Scope of Bianchi Type-I Cosmological Model

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