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

Authors

Karen Yagdjian, The University of Texas Rio Grande Valley
Anahit Galstian, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

11-2021

Abstract

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 Euler-Poisson-Darboux equation, which are obtained by the integral transform approach.

Comments

Original published version available at https://doi.org/10.1016/j.jde.2021.07.033

Recommended Citation

Yagdjian, Karen, and Anahit Galstian. 2021. “Fundamental Solutions for the Dirac Equation in Curved Spacetime and Generalized Euler-Poisson-Darboux Equation.” Journal of Differential Equations 300 (November): 80–117. https://doi.org/10.1016/j.jde.2021.07.033.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Differential Equations

DOI

10.1016/j.jde.2021.07.033