On boundary conditions for linearised Einstein's equations

Matteo Capoferri; Simone Murro; Gabriel Schmid

doi:10.1016/j.aml.2024.109210

On boundary conditions for linearised Einstein's equations

Matteo Capoferri, Simone Murro, Gabriel Schmid

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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.

Original language	English
Article number	109210
Journal	Applied Mathematics Letters
Volume	158
Early online date	6 Jul 2024
DOIs	https://doi.org/10.1016/j.aml.2024.109210
Publication status	E-pub ahead of print - 6 Jul 2024

Keywords

Elliptic boundary value problems
Linear gauge theory
Linearised gravity
Spectral theory

ASJC Scopus subject areas

Applied Mathematics

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KW - Linearised gravity

KW - Spectral theory

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On boundary conditions for linearised Einstein's equations

Abstract

Keywords

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