The commutator algebra of covariant derivative as general framework for extended gravity. The Rastall theory case and the role of the torsion

2017/08/14 by I. Licata, Ignazio Licata, H. Moradpour +2 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #Black Holes and Theoretical Physics

paper · doi:10.1142/s0219887817300033

Abstract

In this short review, we discuss the approach of the commutator algebra of covariant derivative to analyze the gravitational theories, starting from the standard Einstein's general theory of relativity (GTR) and focusing on the Rastall theory. After that, we discuss the important role of the torsion in this mathematical framework. In the appendix of the paper, we analyze the importance of the nascent gravitational wave (GW) astronomy as a tool to discriminate among the GTR and alternative theories of gravity.

Citations

• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Observation of Gravitational Waves from a Binary Black Hole Merger

Cited by

• Observational constraints on New Tsallis holographic energy in Rastall theory
• Thermodynamics of black holes in Rastall gravity

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