On boundary conditions for linearised Einstein's equations

DOI10.1016/J.AML.2024.109210zbMATH Open1546.35043MaRDI QIDQ6592450

Gabriel Schmid, Simone Murro, Matteo Capoferri

Publication date: 26 August 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

spectrumLaplace-Beltrami equationlinearized Einstein equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Boundary value problems on manifolds (58J32)

Cites Work

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• The analysis of linear partial differential operators. III: Pseudo-differential operators
• On boundary value problems for Einstein metrics
• Vanishing theorems for square-integrable harmonic forms
• The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• A special Stoke's theorem for complete Riemannian manifolds
• The Sharpiro–Lopatinskij Condition for Elliptic Boundary Value Problems
• A note on the isoperimetric constant
• Lack of strong ellipticity in Euclidean quantum gravity
• A note on boundary conditions in Euclidean gravity
• Einstein manifolds with convex boundaries
• Extension of symmetries on Einstein manifolds with boundary
• A note on the canonical formalism for gravity
• New well-posed boundary conditions for semi-classical Euclidean gravity

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