The evolution of the Dirac field in curved space-times (Q1911216)

In this article the covariant Dirac equation of a spacetime in certain coordinate charts is rewritten as an evolution equation \(\frac{\partial\psi}{\partial t}=A\psi\). As a result it is proved that the Dirac operator \(D=ihA\) in the whole outer space of a Kerr-Newman black hole is symmetric. Furthermore it is shown that the operator \(A\) in expanding Robertson-Walker universe and the operator \(-A\) in the contracting case are dissipative.