Irradiated closed Friedmann brane-worlds

TL;DR

This paper studies the evolution of closed Friedmann brane-worlds irradiated by bulk black holes, showing that increased transmission across the brane eliminates previously observed critical behavior caused by radiation pressure and self-gravity balance.

Contribution

It introduces a generalized model allowing transmission across the brane, demonstrating how this affects the critical behavior in irradiated brane-world cosmologies.

Findings

Increasing transmission removes the critical behavior.

Absorption and transmission influence brane evolution.

Critical behavior depends on the balance of radiation pressure and self-gravity.

Abstract

We consider the evolution of a closed Friedmann brane irradiated by a bulk black hole. Both absorption on the brane and transmission across the brane are allowed, the latter representing a generalization over a previously studied model. Without transmission, a critical behaviour could be observed, when the acceleration due to radiation pressure and the deceleration introduced by the increasing self-gravity of the brane roughly compensate each other. We show here that increasing transmission leads to the disappearance of the critical behaviour.