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arXiv · 2103.01405

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

Karen Yagdjian·Anahit Galstian
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Abstract

We present the fundamental solutions for the spin-1/2 fields propagating in the 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.

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Karen Yagdjian, Anahit Galstian. 2021-03-02. Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation. https://doi.org/10.1016/j.jde.2021.07.033

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