Chern-Simons Gravity in Four Dimensions

Abstract

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 $\Lambda$CDM cosmological solutions of General Relativity. We also check that vanishing torsion is a stable feature of the solutions.

25 pages, Latex

References in corpus (5)

• Black Holes in Pure Lovelock Gravities
• Some exact solutions with torsion in 5-D Einstein-Gauss-Bonnet gravity
• Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
• Compactification in first order gravity
• Some cosmological solutions in Einstein-Chern-Simons gravity

Cited by in corpus (1)

• 4D spin-2 fields from 5D Chern-Simons theory