A topological-like gravity model in a four dimensional space-time

TL;DR

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

Contribution

It provides a canonical analysis and classical solutions for a topological-like gravity model, highlighting its differences and similarities with Einstein's theory.

Findings

Cosmological solutions similar to Einstein's GR

Wave-like solutions identified and analyzed

Potential for easier quantization due to topological nature

Abstract

In this work we consider a model for gravity in 4-dimensional space-time originally proposed by A. Chamseddine which may be derived by a 5-dimensional Chern-Simons theory. Its topological origin makes it an interesting candidate for an easier quantization, e.g., in loop quantization framework. The present work is dedicated to classical physical consequences and canonical analysis of the model. Cosmological solutions as well as wave-like solutions were obtained and compared with the corresponding Einstein's General Relativity with cosmological constant.