Exact solutions in bouncing cosmology

Abstract

We discuss the effects of a (possibly) negative $(1+z{)}^6$ type contribution to the Friedmann equation. No definite answer can be given as to the presence and magnitude of a particular mechanism, because any test using the general relation $H(z)$ is able to estimate only the total of all sources of such a term. That is why we describe four possibilities: 1) geometric effects of loop quantum cosmology, 2) braneworld cosmology, 3) metric-affine gravity, and 4) cosmology with spinning fluid. We find the exact solutions for the models with ${\rho }^2$ correction in terms of elementary functions, and show all evolutional paths on their phase plane. Instead of the initial singularity, the generic feature is now a bounce.

8 pages, 6 figures, 2 references added, some corrections in text, DOI

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• Exact solutions for Big Bounce in loop quantum cosmology
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• Relic gravitons as the observable for Loop Quantum Cosmology
• Cosmological Hysteresis and the Cyclic Universe
• $f(R,T)$ Gravity Bouncing Universe with Cosmological Parameters
• Cyclic cosmology in modified gravity
• Density growth in Kantowski-Sachs cosmologies with cosmological constant
• A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
• Arrow of Time in String Theory
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• Arrow of time in dissipationless cosmology
• Initial Conditions for Bubble Universes
• Quasinormal modes of a charged loop quantum black hole
• The cosmological perturbation theory in loop cosmology with holonomy corrections
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• Bouncing Universe with a Nonminimally Coupled Scalar Field on a Moving Domain Wall
• Circular orbits and accretion disk around a deformed-Schwarzschild black hole in loop quantum gravity
• Interaction of Fermionic Matter and ECSK Black Hole with Torsion