Bouncing Cosmologies and Self-Gravitational Corrections

Abstract

A four-dimensional timelike brane is considered as the boundary of the $SAd{S}_5$ bulk background. Exploiting the CFT/FRW-cosmology relation, we derive the self-gravitational corrections to the first Friedmann-like equation which is the equation of the brane motion. The additional term that arises due to the semiclassical analysis, can be viewed as stiff matter where the self-gravitational corrections act as the source for it. This result is contrary to standard analysis that regards the charge of $SAd{S}_5$ bulk black hole as the source for stiff matter. A very interesting feature of the solutions of FRW equation is that they all (for $k=0,\pm 1$) have a non-vanishing minimum value for the scale factor.

10 pages, no figures, clarifying comments added, no physics changed, version to appear in PLB

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• On Perturbations of Quintom Bounce
• Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
• The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in $SAd{S}_5$ Black Holes
• Cosmological Hysteresis and the Cyclic Universe
• Quantum Corrections to the Cosmological Evolution of Conformally Coupled Fields
• Exact solutions in bouncing cosmology
• On phantom thermodynamics with negative temperature
• General solution for scalar perturbations in bouncing cosmologies
• A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
• Casimir densities for a spherical brane in Rindler-like spacetimes
• Bouncing Universe with Non-minimally Coupled Quintom Matter
• The Self-Gravitational Corrections as the Source for Stiff Matter on the Brane in $SAd{S}_5$ Bulk
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• Quantum driven Bounce of the future Universe
• Bouncing cosmological solutions due to the self-gravitational corrections and their stability
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• Bouncing Universe with a Nonminimally Coupled Scalar Field on a Moving Domain Wall
• Semiclassical Corrections to the Cardy-Verlinde Formula of Kerr Black Holes
• Bouncing cosmological solutions and their stability
• Brane Bounce from logarithmic entropic corrections in the bulk