Anisotropic power-law inflation for a conformal-violating Maxwell model

Abstract

A set of power-law solutions of a conformal-violating Maxwell model with a non-standard scalar-vector coupling will be shown in this paper. In particular, we are interested in a coupling term of the form $X^{2n}{F}^{\mu \nu }{F}_{\mu \nu }$ with $X$ denoting the kinetic term of the scalar field. Stability analysis indicates that the new set of anisotropic power-law solutions is unstable during the inflationary phase. The result is consistent with the cosmic no-hair conjecture. We show, however, that a set of stable slowly expanding solutions does exist for a small range of parameters $\lambda$ and $n$. Hence a small anisotropy can survive during the slowly expanding phase.

13 pages with 3 figures

References in corpus (27)

• Inflationary Universe with Anisotropic Hair
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Magnetic fields from inflation?
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Instability of anisotropic cosmological solutions supported by vector fields
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Predictions from an anisotropic inflationary era
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• Anisotropic Power-law Inflation
• Large-scale magnetic fields in the inflationary universe
• Anisotropic Inflation from Vector Impurity
• On the evolution of universes in quadratic theories of gravity
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
• Imprints of anisotropic inflation on the cosmic microwave background
• Anisotropic Inflation from Charged Scalar Fields
• A Model of Universe Anisotropization
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Cosmologies in Horndeski's second-order vector-tensor theory
• Anisotropic cosmological solutions in massive vector theories
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Anisotropic inflation in Brans-Dicke gravity
• Inflationary Dynamics with a Non-Abelian Gauge Field
• Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term
• Effective field theory of statistical anisotropies for primordial bispectrum and gravitational waves
• Completing magnetic field generation from gravitationally coupled electrodynamics with the curvaton mechanism

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