Scalar waves on a naked-singularity background
Scalar waves on a naked-singularity background
We obtain global spacetime weighted-L2 (Morawetz) and L4 (Strichartz) estimates for a massless chargeless spherically symmetric scalar field propagating on a super-extremal (overcharged) Reissner–Nordström background. To do this we first discuss the well-posedness of the Cauchy problem for scalar fields on non-globally hyperbolic manifolds, review the role played by the …