2020/07/31 by Athanasios Chatzistavrakidis, Georgios Karagiannis, Peter Schupp
Mathematics · Physics and Astronomy · #Algorithm #Atomic and Subatomic Physics Research #Classical mechanics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #General relativity #Gravitation #Mathematical physics #Mathematics #Physics #Torsion (gastropod) #cond-mat.str-el #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-020-08600-9
published as Eur. Phys. J. C, 80 11 (2020) 1034 · 5 pages, two-column format, v2: references added; minor corrections; revised journal version
openalex publication_date 2020/11/01 · arxiv created 2020/11/12 · arxiv updated 2020/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> term in gravitoelectromagnetism. This is distinct from the common gravitational θ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> 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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> parameter can lead to excess mass density at the interface of regions where θ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>θ</mml:mi> </mml:math> 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.