Overview and perspectives on metric-affine gravity
- Resource Type
- Authors
- A. Meziane; O. A. Belarbi
- Source
- Journal of Physics: Conference Series. 1766:012007
- Subject
- Physics
History
Gravity (chemistry)
Pure mathematics
Metric (mathematics)
Affine transformation
Computer Science Applications
Education
- Language
- ISSN
- 1742-6596
1742-6588
The main purpose of this work is to give an overview of a generalization of the theory of general relativity, namely metric-affine gravity. We rederive an expression for the Lie derivative of the metric in the case of metric-affine theory and discuss some consequences of such an expression. As a gauge theory of gravitation it may be considered as an upshot of a gauging procedure of the general affine group, or its double covering. A historical approach of such a theory is also contained including the key results. One concludes with some perspectives on the calculation of topological observables in that theory viewed as topological gravity theory.