Spherical solutions to the Klein-Gordon equation in the expanding universe

2025/08/15 by Yagdjian, Karen
#35C15 #35Q40 #35Q75 #81T20 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2508.15812

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.

Citations

• Integral transform approach to solving Klein-Gordon equation with variable coefficients

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