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Torsion-induced gravitational θ term and gravitoelectromagnetism

Chatzistavrakidis, Athanasios; Karagiannis, Georgios; Schupp, Peter (2020) Torsion-induced gravitational θ term and gravitoelectromagnetism. The European Physical Journal C, 80 (11). ISSN 1434-6044

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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 θ term in gravitoelectromagnetism. This is distinct from the common gravitational θ 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 θ 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 θ parameter can lead to excess mass density at the interface of regions where θ 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.

Item Type: Article
Uncontrolled Keywords: gravitoelectromagnetism
Subjects: NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Nove geometrije za gravitaciju i prostor-vrijeme-GRASPAthanasios ChatzistavrakidisIP-2018-01-7615HRZZ
Sinergijom do uspjeha: RBI-T-WINNING i ESIF udruženi u jačanju izvrsnosti Zavoda za teorijsku fiziku Instituta Ruđer Bošković-RBI-TWINN-SINBlaženka MelićKK.
Depositing User: Georgios Karagiannis
Date Deposited: 22 Nov 2021 14:16
DOI: 10.1140/epjc/s10052-020-08600-9

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