Separation of Dirac and Kähler equations in spherically symmetric space‐times

Panahimoghaddam, M. and Tucker, Robin (1986) Separation of Dirac and Kähler equations in spherically symmetric space‐times. Journal of Mathematical Physics, 27 (5). pp. 1398-1403. ISSN 0022-2488

Abstract

The Dirac and Kähler equations are separated in a class of spherically symmetric space‐times by using new techniques of Clifford analysis. New operators, which raise and lower the ‘‘spin weight’’ of spin‐weighted functions by (1)/(2), are also introduced. The separated solutions enable us to analyze the distinction between spinor solutions to the Dirac separation equation and Kähler solutions.