Speaker
Giuseppe De Maria
(Istituto Nazionale di Fisica Nucleare)
Description
In this talk, I will report on a new covariant reformulation of the Dirac field in General Relativity, based on its polar decomposition allowing a fluid-like spinorial description without the explicit use of tetrads or Clifford matrices. Working in the “spinorial” signature (+,−,−,−), a fully covariant (1+1+2) framework is presented, in which the velocity and spin fields are the generators of time-like and space-like congruences. This formulation provides a geometrically transparent way to analyze a self-gravitating Dirac field and its compatibility with Locally Rotationally Symmetric (LRS) spacetimes of types I, II, and III.
Author
Giuseppe De Maria
(Istituto Nazionale di Fisica Nucleare)
