Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.
A Cyclic Model of the Universe
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abstract
We propose a cosmological model in which the universe undergoes an endless sequence of cosmic epochs each beginning with a `bang' and ending in a `crunch.' The temperature and density are finite at each transition from crunch to bang. Instead of having an inflationary epoch, each cycle includes a period of slow accelerated expansion (as recently observed) followed by slow contraction. The combination produces the homogeneity, flatness, density fluctuations and energy needed to begin the next cycle.
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An Einstein-Cartan ekpyrotic model with a steep-to-plateau scalar potential supports a torsion-driven nonsingular bounce in homogeneous contraction without chaotic behavior in the explored parameter space.
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Phase-resolved field-space distance criteria in ekpyrotic, bouncing and cyclic cosmologies
Proposes phase-resolved invariant path-length criteria and a master formula for lower bound on ε_ek in ekpyrotic cosmologies, using BKL suppression and conversion windows as constraints.
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Dynamical systems analysis of an Einstein-Cartan ekpyrotic nonsingular bounce cosmology
An Einstein-Cartan ekpyrotic model with a steep-to-plateau scalar potential supports a torsion-driven nonsingular bounce in homogeneous contraction without chaotic behavior in the explored parameter space.