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Spinorial perturbation solution to the Kähler equation in normal coordinates

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
178
Identifiers
DOI: 10.1016/0375-9601(93)91092-j
Disciplines
  • Earth Science
  • Mathematics

Abstract

Abstract This work investigates the local dynamics of the Kähler equation in normal coordinates. Exploiting the isomorphism between the real Clifford algebra C 3,1( R) and the total matrix algebra M 4, the Kähler field expanded as a power series in the geodesic distance and the solution of the Kähler field α i spinors was found in a space-time of constant curvature.

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