https://doi.org/10.1140/epjc/s10052-016-4045-5
Regular Article - Theoretical Physics
A topological-like model for gravity in 4D space-time
Departamento de Física, Universidade Federal de Viçosa–UFV, Viçosa, MG, Brazil
* e-mail: opiguet@pq.cnpq.br
Received:
3
March
2016
Accepted:
21
March
2016
Published online:
9
April
2016
In this paper we consider a model for gravity in four-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a five-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.
© The Author(s), 2016
