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.
On boundary conditions for linearised Einstein's equations / M. Capoferri, S. Murro, G. Schmid. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - 158:(2024), pp. 109210.1-109210.6. [10.1016/j.aml.2024.109210]
On boundary conditions for linearised Einstein's equations
M. Capoferri
Primo
;
2024
Abstract
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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