Eur. Phys. J. C (2020) 80: 546
https://doi.org/10.1140/epjc/s10052-020-8104-6

Regular Article - Theoretical Physics

Brane gravity in 4D from Chern–Simons gravity theory

¹ Departamento de Ciencias Exactas, Universidad de Los Lagos, Avenida Fuchslocher 1305, Osorno, Chile
² Facultad de Ciencias, Universidad Arturo Prat, Avenida Arturo Prat 2120, Iquique, Chile

^* e-mail: patsalgado@unap.cl

Received: 20 December 2019
Accepted: 1 June 2020
Published online: 17 June 2020

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 leads to the 4-dimensional general relativity with cosmological constant. An interpretation of the 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.