Author:
Chen Zi-Wei,Diao Run,Chen Xiang-Song
Abstract
Abstract
In the standard Einstein-Cartan theory, matter fields couple to gravity through the Minimal Coupling Procedure (MCP), and yet leave the theory an ambiguity. Applying MCP to the action or to the equation of motion would lead to different gravitational couplings. We propose a new covariant derivative to remove the ambiguity and discuss the relation between our proposal and previous treatments on this subject.
Subject
Physics and Astronomy (miscellaneous)
Reference23 articles.
1. On a generalization of the notion of Riemann curvature and spaces with torsion;Cartan,1980
2. On the analogy between charge and spin in general relativity;Sciama,1962
3. Lorentz invariance and the gravitational field;Kibble;J. Math. Phys.,1961
4. Einstein-Cartan theory;Trautman,2006
5. General relativity with spin and torsion and its deviations from Einstein’s theory;Hehl;Phys. Rev. D,1974