Brane gravity in 4D from Chern-Simons gravity theory

TL;DR

This paper derives a 4D brane gravity model from 5D Einstein-Chern-Simons gravity, showing it reduces to general relativity with a cosmological constant and finding cosmological solutions with accelerated expansion.

Contribution

It introduces a novel derivation of 4D brane gravity from 5D Einstein-Chern-Simons theory, including cosmological solutions with accelerated behavior.

Findings

Reduction to 4D general relativity with cosmological constant

Existence of accelerated cosmological solutions

Interpretation of matter field in the theory

Abstract

We evaluate a 5-dimensional Randall Sundrum type metric in the Lagrangian of the Einstein-Chern-Simons gravity, and then we derive an action and its corresponding field equations, for a 4-dimensional brane embedded in the 5-dimensional space-time of the theory, which in the limit l--0 leads to the 4-dimensional general relativity with cosmological constant. An interpretation of the h*a matter field present in the Einstein-Chern-Simons gravity action is given. As an application, we find some Friedmann-Lemaitre-Robertson-Walker cosmological solutions that exhibit accelerated behavior.