More on the regularized big bang singularity

Abstract

The big bang singularity of the expanding-universe Friedmann solution of the Einstein gravitational field equation can be regularized by the introduction of a degenerate metric and a nonzero length scale $b$. The result is a nonsingular bounce of the cosmic scale factor with a contracting prebounce phase and an expanding postbounce phase. The corresponding maximum values of the curvature and the energy density occur at the moment of the bounce and are proportional to powers of $1/b$. This article presents a detailed calculation of the dynamics of such a nonsingular bounce. In addition, a comparison is made between this nonsingular bounce and the bounces of loop quantum cosmology and string cosmology.

22 pages, 5 figures, v7: published version

References in corpus (9)

• Quantum Nature of the Big Bang: Improved dynamics
• Duality Invariant Cosmology to all Orders in ${\alpha }^{\prime }$
• Non-singular string cosmology via ${\alpha }^{\prime }$ corrections
• Regularized big bang singularity
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• Singularities in string theory
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Cited by in corpus (13)

• Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
• Nonsingular bouncing cosmology in general relativity: physical analysis of the spacetime defect
• Nonsingular bouncing cosmology from general relativity: Scalar metric perturbations
• Defect wormhole: A traversable wormhole without exotic matter
• M-theory and the birth of the Universe
• Big bang as a topological quantum phase transition
• IIB matrix model and regularized big bang
• A derivation of the standard model particles from the Dirac Lagrangian on internal spacetime
• Another model for the regularized big bang
• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• IIB matrix model: Emergent spacetime from the master field
• On the emergence of an expanding universe from a Lorentzian matrix model
• Regularized big bang singularity: Geodesic congruences