Torsion-induced gravitational term and gravitoelectromagnetism
Division of Theoretical Physics, Rudjer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia
2 Department of Physics and Earth Sciences, Jacobs University Bremen, 28759, Bremen, Germany
Accepted: 23 October 2020
Published online: 9 November 2020
Motivated by the analogy between a weak field expansion of general relativity and Maxwell’s laws of electrodynamics, we explore physical consequences of a parity violating term in gravitoelectromagnetism. This is distinct from the common gravitational term formed as a square of the Riemann tensor. Instead it appears as a product of the gravitoelectric and gravitomagnetic fields in the Lagrangian, similar to the Maxwellian term. We show that this sector can arise from a quadratic torsion term in nonlinear gravity. In analogy to the physics of topological insulators, the torsion-induced parameter can lead to excess mass density at the interface of regions where varies and consequently it generates a correction to Newton’s law of gravity. We discuss also an analogue of the Witten effect for gravitational dyons.
© The Author(s) 2020
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