Dirac and Klein-Gordon Equations in Curved Space

Details Dirac and Klein-Gordon Equations in Curved Space Dirac and Klein-Gordon Equations in Curved Space

2011-06-11

arxiv.org/abs/1106.2236v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, one figure

Scientific paper

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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