Huygens' principle for the generalized Dirac operator in curved spacetime
Karen Yagdjian
TL;DR
This paper investigates the conditions under which the generalized Dirac operator and the Dirac operator itself satisfy the Huygens principle in curved spacetime, specifically within cosmological models.
Contribution
It provides necessary and sufficient conditions for the Dirac operator to obey the Huygens principle in Friedmann-Lemaître-Robertson-Walker spacetimes.
Findings
Conditions for the generalized Dirac operator to obey the incomplete Huygens principle.
Necessary and sufficient conditions for the Dirac operator to obey the Huygens principle.
Application to cosmological models of 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-Lema\^itre-Robertson-Walker models of cosmology.
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