Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation

[摘要] We present the fundamental solutions for the spin-1/2 fields propagating in spacetimes with power type expansion/contraction and the fundamental solution of the Cauchy problem for the Dirac equation. The derivation of these fundamental solutions is based on formulas for the solutions to the generalized EulerPoisson-Darboux equation, which are obtained by the integral transform approach. Published by Elsevier Inc.

[发布日期] 2021-11-05

[关键词] Dirac equation;Einstein & de Sitter model;FLRW models;Non-Fuchsian equations;Euler-Poisson-Darboux equation