More on the regularized big bang singularity
F. R. Klinkhamer
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.
Topics & Concepts
Big BouncePhysicsSingularityCosmologyCosmic stringBig Bang (financial markets)Degenerate energy levelsLoop quantum cosmologyTheoretical physicsUltimate fate of the universeQuantum cosmologyInflation (cosmology)Initial singularityString (physics)Classical mechanicsEinstein field equationsScale factor (cosmology)CurvatureMathematical physicsGravitationUniverseMetric expansion of spacePhysical cosmologyQuantum gravityQuantumQuantum mechanicsDark energyDe Sitter universeMathematicsMathematical analysisGeometryEconomicsFinanceNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories