Bouncing cosmological solutions due to the self-gravitational corrections and their stability

Abstract

In this paper we consider the bouncing braneworld scenario, in which the bulk is given by a five-dimensional AdS black hole spacetime with matter field confined in a $D_3$ brane. Exploiting the CFT/FRW-cosmology relation, we consider the self-gravitational corrections to the first Friedmann-like equation which is the equation of the brane motion. The self-gravitational corrections act as a source of stiff matter contrary to standard FRW cosmology where the charge of the black hole plays this role. Then, we study the stability of solutions with respect to homogeneous and isotropic perturbations. Specifically, if we do not consider the self-gravitational corrections, the AdS black hole with zero ADM mass, and open horizon is an attractor, while, if we consider the self-gravitational corrections, the AdS black hole with zero ADM mass and flat horizon, is a repeller

9 pages, no figures

References in corpus (25)

• A Large Mass Hierarchy from a Small Extra Dimension
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Logarithmic correction to the Bekenstein-Hawking entropy
• Self-Interaction Correction to Black Hole Radiance
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• General Logarithmic Corrections to Black Hole Entropy
• Dynamics of Anti-de Sitter Domain Walls
• Inflation in the five-dimensional universe with an orbifold extra dimension
• CFT and Entropy on the Brane
• Evolution of Cosmological Models in the Brane-world Scenario
• Homogeneous cosmologies with cosmological constant
• Corrections to the Cardy-Verlinde formula from the generalized uncertainty principle
• Bulk effects in the cosmological dynamics of brane-world scenarios
• Bouncing and cyclic universes from brane models
• Logarithmic correction to the Cardy-Verlinde formula in Achucarro-Oritz Black Hole
• The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula
• The Cardy-Verlinde formula and entropy of Topological Reissner-Nordström black holes in de Sitter spaces
• Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordström de Sitter Space
• Bouncing Braneworlds Go Crunch!
• Bouncing Cosmologies and Self-Gravitational Corrections
• Logarithmic corrections to the FRW brane cosmology from 5d Schwarzschild-deSitter black hole
• Bouncing and cyclic universes in the charged AdS bulk background
• Braneworld cosmological solutions and their stability
• Of Bounces, Branes and Bounds

Cited by in corpus (7)

• A Braneworld Dark Energy Model with Induced Gravity and the Gauss-Bonnet Effect
• Bouncing Universe with Non-minimally Coupled Quintom Matter
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Casimir densities for two spherical branes in Rindler-like spacetimes
• 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