Inflation driven by q-de Sitter

Abstract

We propose a generalised de Sitter scale factor for the cosmology of early and late time universe, including single scalar field is called as inflaton. This form of scale factor has a free parameter $q$ is called as nonextensivity parameter. When $q=1$, the scale factor is de Sitter. This scale factor is an intermediate form between power-law and de Sitter. We study cosmology of such families. We show that both kinds of dark components, dark energy and dark matter simultaneously are described by this family of solutions. As a motivated idea, we investigate inflation in the framework of $q$-de Sitter. We consider three types of scenarios for inflation. In a single inflation scenario, we observe that, inflation ended without any specific ending inflation ${\varphi }_{end}$, the spectral index and the associated running of the spectral index are %$n_{\mathrm{s}}-1\sim -2\epsilon ,{\alpha }_{\mathrm{s}}\equiv 0$. To end the inflation: we should have $q=\frac{3}{4}$. We deduce that the inflation ends when the evolution of the scale factor is $a(t)=e_{3/4}(t)$. With this scale factor there is no need to specify ${\varphi }_{end}$. As an alternative to have inflation with ending point, We will study q-inflation model in the context of warm inflation. We propose two forms of damping term $\Gamma$. In the first case when $\Gamma ={\Gamma }_0$, we show the scale invariant spectrum, (Harrison-Zeldovich spectrum, i.e. $n_s=1$) may be approximately presented by ($q=\frac{9}{10},N=70$). Also there is a range of values of $R$ and $n_s$ which is compatible with the BICEP2 data where $q=\frac{9}{10}$. In case $\Gamma ={\Gamma }_{1}V(\varphi )$, it is observed that small values of a number of e-folds are assured for small values of $q$ parameter. For $q=\frac{9}{10}$ a range of values of $R$ and $n_s$ is compatible with the BICEP2 data.

Version has been accepted for publication in "International Journal of Theoretical Physics", Titled changed

References in corpus (9)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmology and the Fate of Dilatation Symmetry
• Modified gravity models of dark energy
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• Energy conditions in generalized teleparallel gravity models
• Modified gravity as realistic candidate for dark energy, inflation and dark matter
• Phase transition in Schwarzschild-de Sitter spacetime

Cited by in corpus (4)

• Dynamics of Warm Chaplygin Gas Inflationary Models With Quartic Potential
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Cosmological reconstruction and {\it Om} diagnostic analysis of Einstein-Aether Theory
• Coupling q-deformed dark energy to dark matter