Abstract
We introduce a very early universe model based on the thermodynamics of a gas of closed strings in a background which is non-perturbative in $\alpha'$. Upon considering the fully $\alpha'$-corrected equations extended to include certain anisotropic cosmological backgrounds, we describe the evolution of the system in three different stages parametrized by the gas' equation of state. Using standard string thermodynamical arguments, we start with an isotropic 10-dimensional universe inside the string scale and evolve it towards a universe with four large spacetime dimensions and six stabilized internal dimensions in the Einstein frame.
Highlights
In this paper we have built the first very early universe cosmological model based on α0-cosmology and inspired by the string gas cosmology (SGC) scenario
Our model provides for the first time dynamics for the Einstein frame quasistatic phase advocated by SGC
With reasonable assumptions, we have shown that the nonperturbative equations of α0-cosmology are compatible with the dynamical mechanism of SGC to generate a fourdimensional cosmology starting from ten dimensions, as required by string theory
Summary
If we are after solutions with high energy density, such as during the static phase in the EF of SGC, we need to correct the bosonic NS-NS sector of the supergravity action with higher order operators These operators are associated with α0 and gs corrections.pTffihffiffieffi former are related to the string length, given by ls ≡ α0 which sets the string scale, present even at classical level, while the latter are due to string interactions and account for quantum corrections. We propose an early universe cosmological scenario based on these solutions It starts off with ten dimensions where nine spatial dimensions are smaller than the string length and evolves such that at the end we have four large spacetime dimensions while the other six spatial dimensions remain stabilized around the string length.
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