Polytropic equation of state and primordial quantum fluctuations

Abstract

We study the primordial Universe in a cosmological model where inflation is driven by a fluid with a polytropic equation of state $p=\alpha \rho +k{\rho }^{1+1/n}$. We calculate the dynamics of the scalar factor and build a Universe with constant density at the origin. We also find the equivalent scalar field that could create such equation of state and calculate the corresponding slow-roll parameters. We calculate the scalar perturbations, the scalar power spectrum and the spectral index.

arXiv comment16 pages, 4 figures

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Cited by in corpus (8)

• Cosmology with a stiff matter era
• Study of polytropes with Generalized polytropic Equation of State
• Friedmann-Lemaitre Cosmologies via Roulettes and Other Analytic Methods
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Charged Cylindrical Polytropes with Generalized Polytropic Equation of State
• Anisotropic solution for polytropic stars in 4D Einstein-Gauss-Bonnet gravity
• Generalized Oppenheimer-Snyder Gravitational Collapse into Regular Black holes
• Analytic Solutions of Scalar Field Cosmology, Mathematical Structures for Early Inflation and Late Time Accelerated Expansion