https://doi.org/10.1140/epjc/s10052-017-4653-8
Regular Article - Theoretical Physics
Chern–Simons gravity in four dimensions
1
Departamento de Física, Universidade Federal de Viçosa (UFV), Viçosa, MG, Brazil
2
Carrera de Física, Universidad Mayor de San Andrés, La Paz, Bolivia
* e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
16
January
2017
Accepted:
26
January
2017
Published online:
9
February
2017
Five-dimensional Chern–Simons theory with (anti-)de Sitter SO(1,5) or SO(2,4) gauge invariance presents an alternative to general relativity with cosmological constant. We consider the zero modes of its Kaluza–Klein compactification to four dimensions. Solutions with vanishing torsion are obtained in the cases of a spherically symmetric 3-space and of a homogeneous and isotropic 3-space, which reproduce the Schwarzshild–de Sitter and 
CDM cosmological solutions of general relativity. We also check that vanishing torsion is a stable feature of the solutions.
© The Author(s), 2017
