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.
Highlights
The cosmic inflation [1,2,3] has been regarded as a main paradigm of the modern cosmology
It follows from the success of the cosmic inflation resolving quite a number of cosmological problems such as the horizon, flatness, and magnetic-monopole problems [1,2,3]
The standard inflation model with our early universe assumed to be homogeneous and isotropic has been important in realizing many cosmic microwave background (CMB) observation results inclusign the Wilkinson Microwave Anisotropy Probe (WMAP) [4,5] and the Planck [6,7]
Summary
The cosmic inflation [1,2,3] has been regarded as a main paradigm of the modern cosmology. Non-canonical extensions of the KSW model, in which a scalar field takes non-canonical form such as Dirac–Born–Infeld (DBI), supersymmetric Dirac–Born– Infeld (SDBI), and covariant Galileon forms, have been shown to admit stable and attractive Bianchi type I inflationary solutions [49,50,51,52]. This indicates that the cosmic no-hair conjecture does not hold for the extended KSW models due to the presence of the coupling term f 2(φ)Fμν Fμν.
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