Solution of the Dirac Equation on the Bertotti-Robinson Metric

Details Solution of the Dirac Equation on the Bertotti-Robinson Metric Solution of the Dirac Equation on the Bertotti-Robinson Metric

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001gregr..33..395s&link_type=ejournal

General Relativity and Gravitation, Volume 33, Issue 3, pp.395-404

Mathematics

Logic

6

Bertotti-Robinson Solution, Dirac Equation

Scientific paper

It is shown that each component of the Dirac field satisfies a decoupled equation, which admits separable solutions, when the background spacetime is the Bertotti-Robinson metric, which is a solution of the Einstein vacuum field equations with a cosmological constant. Furthermore, the seperated functions appearing in the solutions are shown to obey identities of the Teukolsky-Starobinsky type and the separable solutions are shown to be eigenfunctions of a certain differential operator.

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