Order rho^2 Corrections to Cosmology with Two Branes

TL;DR

This paper derives second-order energy density corrections to the Friedmann equations in a two-brane cosmological model, revealing that these corrections are primarily influenced by energy on the opposite brane during key cosmological epochs.

Contribution

It provides the first detailed calculation of order rho^2 corrections in the Randall-Sundrum I model including stabilization effects, highlighting the inter-brane influence on cosmological dynamics.

Findings

Order rho^2 corrections are dominated by the opposite brane's energy density during inflation.

The stabilization mechanism affects the magnitude of the corrections.

Corrections differ from single-brane models, emphasizing inter-brane interactions.

Abstract

We present the results of work in which we derived the order rho^2 corrections to the Friedmann equations in the Randall-Sundrum I model. The effects of Golberger-Wise stabilization are taken into account. We surprisingly find that in the cases of inflation and radiation domination, the leading corrections on a given brane come exclusively from the effects of energy density located on the opposite brane.