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

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Cited by in corpus (3)

• 4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects
• 4D spin-2 fields from 5D Chern-Simons theory
• Five dimensional Chern-Simons Gravity for the expanded (anti)-de Sitter gauge group C${}_5$