On boundary conditions for linearised Einstein's equations

被引：1

作者：

Capoferri, Matteo ^{[1
,2
]}

Murro, Simone ^{[3
,4
,5
]}

Schmid, Gabriel ^{[3
,4
,5
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh, Scotland

[2] Maxwell Inst Math Sci, Edinburgh, Scotland

[3] Univ Genoa, Dipartimento Matemat, Genoa, Italy

[4] GNFM INdAM, Genoa, Italy

[5] INFN, Genoa, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2024年 / 158卷

基金：

英国工程与自然科学研究理事会;

关键词：

Elliptic boundary value problems; Spectral theory; Linear gauge theory; Linearised gravity; MANIFOLDS;

D O I：

10.1016/j.aml.2024.109210

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：6

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