74 citations · 200 across the 25 of their papers we have counts for
29 papers
Propagation of Dirac spherical waves in the expanding universe
Karen Yagdjian
The explicit formulas for the spherical solutions of the Dirac equation in the expanding universe are given. The initial value of the solution can be, in particular, a wave functio…
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…
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…
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…
The self-interacting Dirac fields in FLRW spacetime
Anahit Galstian, Karen Yagdjian
We prove the existence of global in time solution with the small initial data for the semilinear equation of the spin-1/2 particles in the Friedmann-Lemaitre-Robertson-Walker space…
Huygens' principle for the spin-1/2 particle in spacetime of non-constant curvature
Karen Yagdjian
In this article we give sufficient and necessary conditions for the validity of the Huygens' principle for the Dirac operator in the non-constant curvature spacetime of the Friedma…