Explicit spherical solutions to the Dirac equation are given for initial data from hydrogen-like atoms or Minkowski waves that then propagate in de Sitter FLRW spacetime.
Spherical solutions to the Klein-Gordon equation in the expanding universe
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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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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Propagation of Dirac spherical waves in the expanding universe
Explicit spherical solutions to the Dirac equation are given for initial data from hydrogen-like atoms or Minkowski waves that then propagate in de Sitter FLRW spacetime.