A Topological-like Model for Gravity in 4D Space-time

TL;DR

This paper analyzes a 4D gravity model derived from a 5D Chern-Simons theory, exploring its classical solutions and potential advantages for quantization, with comparisons to Einstein's General Relativity.

Contribution

It provides a classical analysis of a topological-like 4D gravity model, including cosmological and wave solutions, highlighting its potential for easier quantization.

Findings

Cosmological solutions similar to Einstein's GR with cosmological constant

Wave solutions consistent with classical gravity expectations

Model's topological origin may facilitate quantization processes

Abstract

In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-dimensional Chern-Simons theory. Its topological origin makes it an interesting candidate for an easier quantization, e.g., in the Loop Quantization framework. The present paper is dedicated to a classical analysis of the model's properties. Cosmological solutions as well as wave solutions are found and compared with the corresponding solutions of Einstein's General Relativity with cosmological constant.