Huygens' principle for the generalized Dirac operator in curved spacetime

Abstract

In this article we give sufficient conditions for the generalized Dirac operator to obey the incomplete Huygens principle, as well as necessary and sufficient conditions to obey the Huygens principle by the Dirac operator in the curved spacetime of the Friedmann-Lemaître-Robertson-Walker models of cosmology.

arXiv commentarXiv admin note: text overlap with arXiv:2006.05571

References in corpus (6)

• Sterile Neutrino Dark Matter
• Fundamental Solutions for the Klein-Gordon Equation in de Sitter Spacetime
• Huygens' Principle for the Klein-Gordon equation in the de Sitter spacetime
• Gravitational waves in Friedman-Lemaitre-Robertson-Walker cosmology, material perturbations and cosmological rotation, and the Huygens principle
• Fundamental solutions of the Dirac operator in the Friedmann-Lemaître-Robertson-Walker spacetime
• Huygens' principle and Dirac-Weyl equation

Cited by in corpus (3)

• Quasinormal modes and dual resonant states on de Sitter space
• Fundamental solutions for the Dirac equation in curved spacetime and generalized Euler-Poisson-Darboux equation
• Accelerated paths and Unruh effect II: finite time detector response in (Anti) de Sitter spacetime and Huygen's Principle