A simple model of universe describing the early inflation and the late accelerated expansion in a symmetric manner
We construct a simple model of universe which 'unifies' vacuum energy and radiation on the one hand, and matter and dark energy on the other hand in the spirit of a generalized Chaplygin gas model. Specifically, the phases of early inflation and late accelerated expansion are described by a generalized equation of state p/c{sup 2} = αρ+kρ{sup 1+1/n} having a linear component p = αρc{sup 2} and a polytropic component p = kρ{sup 1+1/n}c{sup 2}. For α= 1/3, n= 1 and k=−4/(3ρ{sub P}), where ρ{sub P}= 5.1610{sup 99} g/m{sup 3} is the Planck density, this equation of state describes the transition between the vacuum energy era and the radiation era. For t≥ 0, the universe undergoes an inflationary expansion that brings it from the Planck size l{sub P}= 1.6210{sup −35} m to a size a{sub 1}= 2.6110{sup −6} m on a timescale of about 23.3 Planck times t{sub P}= 5.3910{sup −44} s (early inflation). When t > t{sub 1}= 23.3t{sub P}, the universe decelerates and enters in the radiation era. We interpret the transition from the vacuum energy era to the radiation era as a second order phase transition where the Planck constant ℏ plays the role of finite sizemore »
 Authors:

^{[1]}
 Laboratoire de Physique Théorique (IRSAMC), CNRS and UPS, Université de Toulouse (France)
 Publication Date:
 OSTI Identifier:
 22218296
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1548; Journal Issue: 1; Conference: 9. Mexican school on gravitation and mathematical physics: Cosmology for the 21. century, Puerto Vallarta, Jalisco (Mexico), 37 Dec 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCELERATION; ASTROPHYSICS; BARYONS; COSMOLOGICAL CONSTANT; COSMOLOGY; DENSITY; EQUATIONS OF STATE; FUNDAMENTAL CONSTANTS; INFLATIONARY UNIVERSE; NONLUMINOUS MATTER; PHASE TRANSFORMATIONS; SCALAR FIELDS; SYMMETRY; TACHYONS; UNIVERSE