Spherical solutions to the Klein-Gordon equation in the expanding universe
Analysis of PDEs
2026-04-30 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Physics
Abstract
We produce an explicit formula for the wave function of the spherically symmetric fields emitted to the FLRW universe with the scale factor generated by the de~Sitter universe. As an application of these explicitly written solutions of the Klein-Gordon equation, we test the decay in time of the field generated by a pionic atom.
Keywords
Cite
@article{arxiv.2508.15812,
title = {Spherical solutions to the Klein-Gordon equation in the expanding universe},
author = {Karen Yagdjian},
journal= {arXiv preprint arXiv:2508.15812},
year = {2026}
}