Bouncing Cosmologies and Self-Gravitational Corrections

TL;DR

This paper investigates bouncing cosmologies by deriving self-gravitational corrections to the Friedmann equation using a brane-world setup, revealing new effects like stiff matter contributions and non-zero minimum scale factors.

Contribution

It introduces a novel derivation of self-gravitational corrections in brane cosmology, showing they act as stiff matter and lead to bouncing solutions with non-zero minimum scale factors.

Findings

Self-gravitational corrections act as stiff matter sources.

All solutions have a non-zero minimum scale factor.

Contrasts with standard charge-based stiff matter models.

Abstract

A four-dimensional timelike brane is considered as the boundary of the $SAdS_{5}$ 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 $SAdS_{5}$ bulk black hole as the source for stiff matter. A very interesting feature of the solutions of FRW equation is that they all (for $k=0,\pm1$) have a non-vanishing minimum value for the scale factor.