On boundary conditions for linearised Einstein's equations
Analysis of PDEs
2024-07-11 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Spectral Theory
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.
Cite
@article{arxiv.2407.07576,
title = {On boundary conditions for linearised Einstein's equations},
author = {Matteo Capoferri and Simone Murro and Gabriel Schmid},
journal= {arXiv preprint arXiv:2407.07576},
year = {2024}
}
Comments
9 pages