8–10 Dec 2021
Virtual Meeting, Universidade Federal da Bahia, Brazil
America/Bahia timezone

Master equations governing the coupling between spin-currents and gravity

8 Dec 2021, 15:45
10m
Virtual Meeting, Universidade Federal da Bahia, Brazil

Virtual Meeting, Universidade Federal da Bahia, Brazil

Universidade Federal da Bahia Campus Universitário de Ondina Rua Barão de Jeremoabo , s/n Salvador, Bahia Brazil CEP: 40170-115

Speaker

Alexandre De Camargo (Universidade Federal Fluminense)

Description

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.

Authors

Alexandre De Camargo (Universidade Federal Fluminense) Rodrigo F. Sobreiro (Universidade Federal Fluminense) Dr Víctor José Vásquez Otoya (Instituto Federal do Sudeste de Minas Gerais)

Presentation materials