Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-anti-de Sitter spacetime

Abstract

We study the resolvent of the massive Dirac operator in the Schwarzschild-anti-de Sitter space-time. After separation of variables, we use standard one-dimensional techniques to obtain an explicit formula. We then make use of this formula to extend the resolvent meromorphically across the real axis. Published by AIP Publishing.