Article

Dirac and Klein-Gordon Equations in Curved Space

06/2011;
Source: arXiv

ABSTRACT We introduce matrix operator algebra involving a universal curvature
constant. Using elements of the algebra, we write the Dirac equation without
the need for spin connections or vierbeins. Iterating the equation and using
the algebra leads to the Klein-Gordon equation in curved space in its canonical
from (without first order derivatives). We obtain exact solutions of the Dirac
and Klein-Gordon equations for a static diagonal metric.

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