An index theorem on asymptotically static spacetimes with compact Cauchy surface
An index theorem on asymptotically static spacetimes with compact Cauchy surface
We consider the Dirac operator on asymptotically static Lorentzian manifolds with an odd-dimensional compact Cauchy surface.We prove that if Atiyah-Patodi-Singer boundary conditions are imposed at infinite times then the Dirac operator is Fredholm.This generalizes a theorem due to in the case of finite times, and we also show that the …