A geometrical interpretation of parity violation in gravity with torsion

Mukhopadhyaya, Biswarup ; Sengupta, Soumitra (1999) A geometrical interpretation of parity violation in gravity with torsion Physics Letters B, 458 (1). pp. 8-12. ISSN 0370-2693

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Official URL: https://www.sciencedirect.com/science/article/pii/...

Related URL: http://dx.doi.org/10.1016/S0370-2693(99)00605-X

Abstract

In a space-time with torsion, the action for the gravitational field can be extended with a parity-violating piece. We show how to obtain such a piece from geometry itself, by suitably modifying the affine connection so as to include a pseudo-tensorial part. The merit of such an approach is that it provides one with a consistent method for incorporating parity-violation in the Lagrangians for matter fields with arbitrary spin in a space-time background with torsion.

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