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The red‐shift effect and radiation decay on black hole spacetimes

The red‐shift effect and radiation decay on black hole spacetimes

Abstract We consider solutions to the linear wave equation □ g ϕ = 0 on a (maximally extended) Schwarzschild spacetime with parameter M > 0, evolving from sufficiently regular initial data prescribed on a complete Cauchy surface Σ, where the data are assumed only to decay suitably at spatial infinity. …