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.
کلید واژگان :
Rastall theory of gravity; torsion in gravity; gravitational waves; commutator algebra; covariant derivative
