Large Radius Hagedorn Regime in String Gas Cosmology
arXiv:0712.1254 · doi:10.1103/PhysRevD.78.063539
Abstract
We calculate the equation of state of a gas of strings at high density in a large toroidal universe, and use it to determine the cosmological evolution of background metric and dilaton fields in the entire large radius Hagedorn regime, (ln S)^{1/d} << R << S^{1/d} (with S the total entropy). The pressure in this regime is not vanishing but of O(1), while the equation of state is proportional to volume, which makes our solutions significantly different from previously published approximate solutions. For example, we are able to calculate the duration of the high-density "Hagedorn" phase, which increases exponentially with increasing entropy, S. We go on to discuss the difficulties of the scenario, quantifying the problems of establishing thermal equilibrium and producing a large but not too weakly-coupled universe.
12 pages, 4 figures, more details presented in string thermodynamics section, to be published in Physical Review D
References in corpus (27)
- Bouncing Universes in String-inspired Gravity
- Elements of String Cosmology
- Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
- Brane Gases in the Early Universe
- String Gas Cosmology
- Topology and the Cosmic Microwave Background
- String Gas Cosmology and Structure Formation
- Non-perturbative Gravity, Hagedorn Bounce & CMB
- Loitering Phase in Brane Gas Cosmology
- Numerical Experiments in String Cosmology
- Cosmological String Gas on Orbifolds
- String Thermodynamics in D-Brane Backgrounds
- Aspects of String-Gas Cosmology at Finite Temperature
- Interaction Rates in String Gas Cosmology
- More on the Spectrum of Perturbations in String Gas Cosmology
- On the new string theory inspired mechanism of generation of cosmological perturbations
- Wrapped Branes and Compact Extra Dimensions in Cosmology
- String Cosmology and the Dimension of Spacetime
- D-brane Gases and Stabilization of Extra Dimensions in Dilaton Gravity
- String windings in the early universe
- The Effect of alpha' Corrections in String Gas Cosmology
- Towards A Nonsingular Tachyonic Big Crunch
- Hagedorn transition for strings on pp-waves and tori with chemical potentials
- The Confining Heterotic Brane Gas: A Non-Inflationary Solution to the Entropy and Horizon Problems of Standard Cosmology
- Emergence of Fluctuations from a Tachyonic Big Bang
- Thermal Equilibrium of String Gas in Hagedorn Universe
- On the origin of thermal string gas
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- Thermodynamics and Cosmological Constant of Non-Local Field Theories from p-Adic Strings
- Geometric Precipices in String Cosmology
- Cyclic Inflation
- Open Strings on D-Branes and Hagedorn Regime in String Gas Cosmology
- Thermodynamical Stability of Hagedorn and Radiation Regimes in Closed String Gas Cosmology