4 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…
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…
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…