16 citations · 41 across the 7 of their papers we have counts for
7 papers
Singularity formation in the Gross-Pitaevskii Equation and Collapse in BEC
A. V. Rybin, I. P. Vadeiko, G. G. Varzugin +1
We study a mechanism of collapse of the condensate wave function in the Gross-Pitaevskii theory with attractive interparticle interaction. We reformulate the Gross-Pitaevskii equat…
Charged Rotating Black Holes in Equilibrium
G. G. Varzugin, A. S. Chistyakov
Axially symmetric, stationary solutions of the Einstein-Maxwell equations with disconnected event horizon are studied by developing a method of explicit integration of the correspo…
Singularity Formation and Collapse in the Attractive Gross-Pitaevskii Equation
A. V. Rybin, G. G. Varzugin, J. Timonen
A generic mechanism of collapse in the Gross-Pitaevskii equation with attractive interparticle interactions is gained by reformulating this equation as Newton's equation of motion…
The interaction force between rotating black holes at equilibrium
G. G. Varzugin
We study the previously constructed Riemann problem whose solutions correspond to equilibrium configurations of black holes. We evaluate the metric coefficients at the symmetry axi…
Equilibrium Configuration of Black Holes and the Inverse Scattering Method
G. G. Varzugin
The inverse scattering method is applied to the investigation of the equilibrium configuration of black holes. A study of the boundary problem corresponding to this configuration s…
The inverse scattering method for cylindrical gravitational waves
G. G. Varzugin
The initial-value problem for cylindrical gravitational waves is studied through the development of the inverse scattering method scheme. The inverse scattering transform in this c…