Work

Master equations governing the coupling between spin-currents and gravity

Year: 2022

Type: article

Abstract: In this work we consider the Einstein–Hilbert action in the first order order formalism coupled to Dirac spinors. From the little group symmetry, we derive the corresponding Bargmann–Wigner current which is conserved but not gauge invariant. Therefore, we construct a gauge invariant version of the Bargmann–Wigner current which is not conserved but potentially observable. Because it is not conserved we split this current into fermionic and gravitational sectors and derive their broken continuity equations for each sector. These equations compose the master equations governing the interaction of spin-currents with gravity. Furthermore, we derive the corresponding master equations in the weak field approximation.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-022-10856-2

Authors: A. de Camargo, R. F. Sobreiro, V. J. Vasquez Otoya

Institutions: Universidade Federal Fluminense, Instituto Federal do Sudeste de Minas Gerais

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Award: G29316538