185 citations · 1.6k across the 90 of their papers we have counts for
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Quantum billiards in multidimensional models with branes
V. D. Ivashchuk, V. N. Melnikov
Gravitational D-dimensional model with l scalar fields and several forms is considered. When cosmological type diagonal metric is chosen, an electromagnetic composite brane ansatz…
Black brane solutions related to non-singular Kac-Moody algebras
V. D. Ivashchuk, V. N. Melnikov
A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x M_1 x ... x M_n, where M_i are E…
Electric S-brane solutions corresponding to rank-2 Lie algebras: acceleration and small variation of G
V. D. Ivashchuk, S. A. Kononogov, V. N. Melnikov
Electric S-brane solutions with two non-composite electric branes and a set of l scalar fields are considered. The intersection rules for branes correspond to Lie algebras A_2, C_2…
On billiard approach in multidimensional cosmological models
V. D. Ivashchuk, V. N. Melnikov
A short overview of the billiard approach for cosmological-type models with n Einstein factor-spaces is presented. We start with the billiard representation for pseudo-Euclidean To…
On the "scattering law" for Kasner parameters appearing in asymptotics of an exact S-brane solution
V. D. Ivashchuk, V. N. Melnikov
A multidimensional cosmological model with scalar and form fields [1-4] is studied. An exact S-brane solution (either electric or magnetic) in a model with l scalar fields and one…
S-brane solutions with (anti-)self-dual parallel charge density form on a Ricci-flat submanifold
H. Dehnen, V. D. Ivashchuk, V. N. Melnikov
A D-dimensional cosmological model with several scalar fields and antisymmetric (p+2)-form is considered. For dimensions D = 4m+1 = 5, 9, 13, ... and p = 2m-1 = 1, 3, 5, ... we obt…
Non-singular solutions in multidimensional cosmology with a perfect fluid: acceleration and variation of G
V. D. Ivashchuk, S. A. Kononogov, V. N. Melnikov +1
Exact solutions with an exponential behaviour of the scale factors are considered in a multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor spaces M…
Electric S-brane solutions with parallel forms on Ricci-flat factor space
V. D. Ivashchuk, V. N. Melnikov, D. Singleton
In this paper we generalize electric S-brane solutions with maximal number of branes. Previously for the action containing D-dimensional gravity, a scalar field and antisymmetric (…
S-brane solutions with acceleration in models with forms and multiple exponential potentials
V. D. Ivashchuk, V. N. Melnikov, S. -W. Kim
A family of generalized S-brane solutions with orthogonal intersection rules and n Ricci-flat factor spaces in the theory with several scalar fields, antisymmetric forms and multip…
Composite S-Brane Solutions On Product Of Ricci-Flat Spaces
V. D. Ivashchuk, V. N. Melnikov, A. B. Selivanov
A family of generalized -brane solutions with orthogonal intersection rules and Ricci-flat factor spaces in the theory with several scalar fields and antisymmetric forms is…
Billiard representation for multidimensional multi-scalar cosmological model with exponential potentials
H. Dehnen, V. D. Ivashchuk, V. N. Melnikov
Multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potential is considered. The dynamics of the mode…
Cosmological solutions in multidimensional model with multiple exponential potential
V. D. Ivashchuk, V. N. Melnikov, A. B. Selivanov
A family of cosmological solutions with Ricci-flat spaces in the theory with several scalar fields and multiple exponential potential is obtained when coupling vectors in e…
Simulation of intersecting black brane solutions
V. D. Ivashchuk, V. N. Melnikov, A. B. Selivanov
A family of spherically symmetric solutions with horizon in the model with multi-component anisotropic fluid (MCAF) is obtained. The metric of any solution contains n-1 Ricci-flat…
Black-brane solution for A_3 algebra
M. A. Grebeniuk, V. D. Ivashchuk, V. N. Melnikov
Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear dif…
Black-brane solution for C_2 algebra
M. A. Grebeniuk, V. D. Ivashchuk, S. -W. Kim
Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear dif…
Thick brane world model from perfect fluid
V. D. Ivashchuk, V. N. Melnikov
A (1 + d)-dimensional thick "brane world" model with varying Lambda-term is considered. The model is generalized to the case of a chain of Ricci-flat internal spaces when the matte…
p-Brane Black Holes as Stability Islands
K. A. Bronnikov, V. N. Melnikov
In multidimensional gravity with an arbitrary number of internal Ricci-flat factor spaces, interacting with electric and magnetic -branes, spherically symmetric configurations a…
Black hole p-brane solutions for general intersection rules
V. D. Ivashchuk, V. N. Melnikov
Black hole generalized p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat ``…
Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity
V. D. Ivashchuk, V. N. Melnikov
Multidimensional model describing the cosmological evolution of n Einstein spaces in the theory with l scalar fields and forms is considered. When electro-magnetic composite p-bran…
P-brane Black Holes and Post-Newtonian Approximation
S. Cotsakis, V. D. Ivashchuk, V. N. Melnikov
We analyze p-brane black hole solutions with `block-orthogonal' intersection rules. The post-Newtonian parameters beta and gamma corresponding to 4-dimensional section of the metri…
Majumdar-Papapetrou Type Solutions in Sigma-model and Intersecting p-branes
V. D. Ivashchuk, V. N. Melnikov
The block-orthogonal generalization of the Majumdar-Papapetrou type solutions for the sigma-model studied earlier are obtained and corresponding solutions with p-branes are conside…
Multidimensional Classical and Quantum Cosmology with Intersecting p-branes
V. D. Ivashchuk, V. N. Melnikov
Multidimensional cosmological model describing the evolution of n+1 Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic compo…
Sigma-model for Generalized Composite p-branes
V. D. Ivashchuk, V. N. Melnikov
A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x M_1 x ... x M_…
Intersecting p-brane Solutions in Multidimensional Gravity and M-theory
V. D. Ivashchuk, V. N. Melnikov
Multidimensional gravitational model on the manifold , where are Einstein spaces (), is considered. The action contains $m = 2^n…