Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields

Abstract

We establish a nonminimal Einstein-Yang-Mills-Higgs model, which contains six coupling parameters. First three parameters relate to the nonminimal coupling of non-Abelian gauge field and gravity field, two parameters describe the so-called derivative nonminimal coupling of scalar multiplet with gravity field, and the sixth parameter introduces the standard coupling of scalar field with 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 spacetime. Basing 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.

15 pages, revised version accepted to Int. J. Mod. Phys. D, typos corrected

References in corpus (24)

• Signals for Lorentz Violation in Electrodynamics
• Gauss-Bonnet dark energy
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Cosmology with Nonminimal Derivative Couplings
• Induced gravity inflation in the standard model of particle physics
• Non-minimal coupling of the scalar field and inflation
• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Gravity's Rainbow: Limits for the applicability of the equivalence principle
• Induced gravity inflation in the SU(5) GUT
• Non-minimal Wu-Yang monopole
• Maxwell's field coupled nonminimally to quadratic torsion: Induced axion field and birefringence of the vacuum
• Non-minimal Einstein-Yang-Mills-Higgs theory: Associated, color and color-acoustic metrics for the Wu-Yang monopole model
• Solar constraints on new couplings between electromagnetism and gravity
• Non-minimal Wu-Yang wormhole
• Constraints on non-minimally coupled curved space electrodynamics from astrophysical observations
• Photon propagation in Einstein and Higher Derivative Gravity
• Regular and black-hole solutions of the Einstein-Yang-Mills-Higgs equations; the case of nonminimal coupling
• Anisotropic cosmological models with non-minimally coupled magnetic field
• Optical activity induced by curvature in a gravitational pp-wave background
• Singular Behaviour of electric and magnetic fields in dielectric media in a non-linear gravitational wave background
• Cherenkov radiation in a gravitational wave background
• Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations

Cited by in corpus (10)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Exact cosmological solutions with nonminimal derivative coupling
• Quintessence and phantom cosmology with non-minimal derivative coupling
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes
• Scalar wormholes with nonminimal derivative coupling
• A Weyl-Dirac Cosmological Model with DM and DE
• Instabilities in Horndeski Yang-Mills inflation
• HYM-flation: Yang-Mills cosmology with Horndeski coupling
• Accelerated expansion of the Universe driven by dynamic self-interaction