Spherical solutions to the Klein-Gordon equation in the expanding universe
Karen Yagdjian
TL;DR
This paper derives explicit spherical solutions to the Klein-Gordon equation in an expanding universe and applies them to analyze the decay of a pionic atom's field over time.
Contribution
It provides explicit formulas for spherically symmetric Klein-Gordon solutions in a de Sitter FLRW universe, enabling new analysis of field decay in cosmological settings.
Findings
Explicit wave function formulas for spherically symmetric fields in de Sitter universe
Application to decay analysis of pionic atom fields over time
Validation of solutions through decay behavior in cosmological context
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.
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