Dirac equation in Kasner spacetime with local rotational symmetry

Abstract

The particular Kasner spacetime in which exact solutions for the Dirac equation were presented by Shishkin and Andrushkevich is known to be Minkowski spacetime in Rindler-like coordinates. We obtain decoupled equations for the Dirac equation in Kasner spacetime with local rotational symmetry and show that these in general are much more complicated.