185 citations · 1.6k across the 90 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…
Vacuum Weyl Cosmologies in D Dimensions
K. A. Bronnikov, V. N. Melnikov
Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal…
Dynamics of inhomogeneities of metric in the vicinity of a singularity in multidimensional cosmology authors
A. A. Kirillov, V. N. Melnikov
The problem of construction of a general ihomogeneous solution of -dimensional Einstein equations in the vicinity of a cosmological singularity is considered. It is shown that n…
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…
Integrable Weyl Geometry in Multidimensional Cosmology. Numerical Investigation
V. N. Melnikov, M. Yu. Konstantinov
The evolution of 4-dimensional and (4+d)-dimensional (d=1,2) cosmological models based on the integrable Weyl geometry are considered numerically both for empty space-time and for…
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…
On Black Hole Stability in Multidimensional Gravity
U. Bleyer, K. A. Bronnikov, S. B. Fadeev +1
Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in -dimensional gravity with a chain of …
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…
Multidimensional Cosmology with -Component Perfect Fluid
V. D. Ivashchuk, V. N. Melnikov
A cosmological model describing the evolution of Einstein spaces with -component perfect-fluid matter is considered. When all spaces are Ricci-flat and for any -t…
The Birkhoff Theorem in Multidimensional Gravity
K. A. Bronnikov, V. N. Melnikov
The validity conditions for the extended Birkhoff theorem in multidimensional gravity with internal spaces are formulated, with no restriction on space-time dimensionality and…