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

2017/06/30 by I. Licata, Ignazio Licata, H. Moradpour +2 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.1142/s0219887817300033

published as International Journal of Geometric Methods in Modern Physics, Vol. 14 (2017) 1730003 · 20 pages, final version. Invited short review published in IJGMMP

arxiv created 2017/09/13 · arxiv updated 2017/09/14

Abstract

In this short review, we discuss the approach of the commutator algebra of covariant derivative to analyse the gravitational theories, starting from the standard Einstein's general theory of relativity 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 analyse the importance of the nascent gravitational wave astronomy as a tool to discriminate among the general theory of relativity and alternative theories of gravity.

Citations

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

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