Linearized gravitational waves in de Sitter space-time
General Relativity and Quantum Cosmology
2024-12-03 v2 High Energy Physics - Theory
Abstract
This is a brief note on a recently flagged issue \cite{CHK} regarding the precise characterization of quadrupolar truncation of the linearized gravitational waves in de Sitter space-time. An apparent inconsistency was noted while transforming the linearized solution truncated to quadrupolar contribution to the Bondi-Sachs form. A consistent truncation was identified as one where the transformation of the truncated solution does not generate logarithmic terms inadmissible in the Bondi-Sachs asymptotic form. I point out the role of the gauge conditions and the solution of the homogeneous equation in obviating the apparent inconsistency issue.
Cite
@article{arxiv.2411.16371,
title = {Linearized gravitational waves in de Sitter space-time},
author = {Ghanashyam Date},
journal= {arXiv preprint arXiv:2411.16371},
year = {2024}
}
Comments
13 pages, no figures. Revised remark-1 and footnote 3 for precision