100 citations · 1.8k across the 133 of their papers we have counts for
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Billiard Representation for Multidimensional Quantum Cosmology near the Singularity
V. D. Ivashchuk, V. N. Melnikov
The degenerate Lagrangian system describing a lot of cosmological models is considered. When certain restrictions on the parameters of the model are imposed, the dynamics of the mo…
Billiard Representation for Multidimensional Cosmology with Multicomponent Perfect Fluid near the Singularity
V. D. Ivashchuk, V. N. Melnikov
The multidimensional cosmological model describing the evolution of Einstein spaces in the presence of multicomponent perfect fluid is considered. When certain restrictions on…
Multidimensional Cosmology with Multicomponent Perfect Fluid and Toda Lattices
V. R. Gavrilov, V. D. Ivashchuk, V. N. Melnikov
The integration procedure for multidimensional cosmological models with multicomponent perfect fluid in spaces of constant curvature is developed. Reduction of pseudo-Euclidean Tod…
Multitemporal generalization of Schwarzschild solution
Vladimir D. Ivashchuk, Vitaly N. Melnikov
The -time generalization of Schwarzschild solution is considered. The equations of geodesics for the metric are integrated. The multitemporal analogues of Newton laws for the ex…
Multitemporal generalization of the Tangherlini solution
Vladimir D. Ivashchuk, Vitaly N. Melnikov
The n-time generalization of the Tangherlini solution [1] is considered. The equations of geodesics for the metric are integrated. For it is shown that the naked singularit…
Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant
U. Bleyer, V. D. Ivashchuk, V. N. Melnikov +1
A multidimensional cosmological model with space-time consisting of Einstein spaces is investigated in the presence of a cosmological constant and a homog…