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On boundary conditions for linearised Einstein's equations
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We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised counterpart of boundary conditions proposed by Anderson. Through the prism of the quest to quantise gravitational waves in curved spacetimes, we study their properties from the point of view of ellipticity, gauge invariance, and the existence of a spectral gap.
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Cited by 2 Pith papers
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With conformal boundary conditions in AdS4, linearized gravity has a new boundary Weyl mode; for a spherical boundary the mode has complex frequencies (exponential growth) at large angular momentum, while for a planar...
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