Special Session 175: Modern Trends in Partial Differential Equations and General Relativity

Spherical waves in the expanding universe
Karen Yagdjian
University of Texas Rio Grande Valley
USA
Co-Author(s):    
Abstract:
In this talk, we present, in explicit form, the spherical waves in the FLRW universe with a scale factor generated by de~Sitter space. As an application of these explicitly written solutions of the Klein-Gordon and Dirac equations, we test the decay in time of the fields, which are generated by the pionic and hydrogen atoms. \ \medskip Details can be found in\ [1] K.Y.: Spherical solutions to the Klein-Gordon equation in the expanding universe. arXiv:2508.15812\ [2] K.Y.: Propagation of Dirac spherical waves in the expanding universe. arXiv:2606.20483