Fundamental solutions of the Dirac operator in the Friedmann-Lemaître-Robertson-Walker spacetime

Abstract

The equation of the spin-$\frac{1}{2}$ particles in the Friedmann-Lemaître-Robertson-Walker spacetime is investigated. The retarded and advanced fundamental solutions to the Dirac operator and generalized Dirac operator as well as the fundamental solutions to the Cauchy problem are written in explicit form via the fundamental solution of the wave equation in the Minkowski spacetime.

References in corpus (4)

• Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime
• The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann-Robertson-Walker Universe
• Finite lifespan of solutions of the semilinear wave equation in the Einstein-de Sitter spacetime
• Huygens' principle and Dirac-Weyl equation

Cited by in corpus (3)

• Huygens' principle for the generalized Dirac operator in curved spacetime
• Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
• Møller maps for Dirac fields in external backgrounds