Maxwell k-form solution spaces and observable algebras are constructed on globally hyperbolic spacetimes with timelike boundary, under a partially proven assumption on the existence of Green operators.
Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes
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abstract
In this short paper, we prove a well-posedness theorem for the massive wave equation (with the mass satisfying the Breitenlohner-Freedman bound) on asymptotically anti-de Sitter spaces. The solution is constructed as a limit of solutions to an initial boundary value problem with boundary at a finite location in spacetime by finally pushing the boundary out to infinity. The solution obtained is unique within the energy class (but non-unique if the decay at infinity is weakened).
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On Maxwell's Equations on Globally Hyperbolic Spacetimes with Timelike Boundary
Maxwell k-form solution spaces and observable algebras are constructed on globally hyperbolic spacetimes with timelike boundary, under a partially proven assumption on the existence of Green operators.