Abstract
We develop a general method of proving the ellipticity of boundary value problems for the stationary vacuum spacetimes, showing that the stationary vacuum field equations are elliptic subjected to a geometrically natural collection of boundary conditions in the projection formalism. As an application, we prove that the moduli space of stationary vacuum spacetimes admits Banach manifold structure.
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More From: Calculus of Variations and Partial Differential Equations
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