A Topological-like Model for Gravity in 4D Space-time

Abstract

In this paper we consider a model for gravity in 4-dimensional space-time originally proposed by Chamseddine, which may be derived by dimensional reduction and truncation from a 5-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.

arXiv comment24 pages, 2 figures, PDFLatex. Typos corrected. Subsection 2.2.1 is new and subsection 2.2.3 (old subsection 2.2.2) has been improved

References in corpus (5)

• Cosmological Constant - the Weight of the Vacuum
• Dimensionally Continued Black Holes
• The dynamical structure of higher dimensional Chern-Simons theory
• Chern-Simons Forms in Gravitation Theories
• Gravitational waves in the presence of a cosmological constant

Cited by in corpus (5)

• On a Five-Dimensional Chern-Simons AdS Supergravity without gravitino
• Noncommutative $SO(2,3{)}_{\star }$ Gauge Theory of Gravity
• Five dimensional Chern-Simons Gravity for the expanded (anti)-de Sitter gauge group C${}_5$
• 5-Dimensional Chern-Simons Gauge Theory on an Interval: Massive Spin-2 Theory from Symmetry Breaking via Boundary Conditions
• Noncommutative $D=5$ Chern-Simons Gravity: Kaluza-Klein Reduction and Chiral Gravitational Anomaly