de sitter expansion 1dirac equation 1expanding universe 1flrw spacetime 1quantum fields in curved spacetime 1spherical waves 1
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math.AP2026
Spherical solutions to the Klein-Gordon equation in the expanding universe
Karen Yagdjian
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…
math.AP2024
Semilinear Klein-Gordon equation in space-time of black hole, which is gaining mass in the universe with accelerating expansion
Karen Yagdjian, Anahit Galstian
In this paper, we consider the propagation of waves in the space-time of a single black hole with a static Schwarzschild radius in the expanding universe, namely, the solutions of…
math.AP2024
Waves in cosmological background with static Schwarzschild radius in the expanding universe
Karen Yagdjian
In this paper, we prove the existence of global in time small data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius in the expanding…