Solution of the Dirac equation on the Bertotti-Robinson metric

It is shown that each component of the Dirac field satisfies a decoupled eq uation, which admits separable solutions, when the background spacetime is the Bertotti-Robinson metric, which is a solution of the Einstein vacuum fi eld equations with a cosmological constant. Furthermore, the seperated func tions appearing in the solutions are shown to obey identities of the Teukol sky-Starobinsky type and the separable solutions are shown to be eigenfunct ions of a certain differential operator.