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Composite fluxbrane and S-brane solutions for a wide class of intersection rules are considered. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n which contains n Ricci-flat spaces M_1, ..., M_n with 1-dimensional…

Mathematical Physics · Physics 2008-11-26 I. S. Goncharenko , 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 internal spaces. They are defined up to a set of functions H_s…

Mathematical Physics · Physics 2014-11-18 V. D. Ivashchuk , V. N. Melnikov

Generalized composite fluxbrane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold which contains a product of n Ricci-flat spaces M_1 x ... x M_n with 1-dimensional M_1. They are defined…

High Energy Physics - Theory · Physics 2014-11-18 V. D. Ivashchuk

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 ``internal'' spaces. They are defined up to a set of functions…

High Energy Physics - Theory · Physics 2007-05-23 V. D. Ivashchuk , V. N. Melnikov

This review dealt with generalized Melvin solutions for simple finite-dimensional Lie algebras. Each solution appears in a model which includes a metric and $n$ scalar fields coupled to $n$ Abelian 2-forms with dilatonic coupling vectors…

High Energy Physics - Theory · Physics 2023-06-08 S. V. Bolokhov , V. D. Ivashchuk

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 differential equations with certain boundary conditions…

High Energy Physics - Theory · Physics 2009-11-07 M. A. Grebeniuk , V. D. Ivashchuk , S. -W. Kim

A family of spherically $O(d_0 + 1)$-symmetric solutions in the model with $m$-component anisotropic fluid is obtained. The metrics are defined on a manifold which contains a product of $n-1$ Ricci-flat ``internal'' spaces. The equation of…

High Energy Physics - Theory · Physics 2026-04-15 V. D. Ivashchuk

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 differential equations with certain boundary conditions…

High Energy Physics - Theory · Physics 2009-11-07 M. A. Grebeniuk , V. D. Ivashchuk , V. N. Melnikov

Black hole generalized p-brane solutions for a wide class of intersection rules are presented. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces. They are defined up to moduli functions H_s…

General Relativity and Quantum Cosmology · Physics 2009-04-17 V. D. Ivashchuk , V. N. Melnikov

We consider generalized Melvin-like solutions corresponding to Lie algebras of rank $5$ ($A_5$, $B_5$, $C_5$, $D_5$). The solutions take place in $D$-dimensional gravitational model with five Abelian 2-forms and five scalar fields. They are…

High Energy Physics - Theory · Physics 2022-10-18 S. V. Bolokhov , V. D. Ivashchuk

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 Einstein spaces (i > 0). The sigma-model approach and exact…

High Energy Physics - Theory · Physics 2015-01-23 V. D. Ivashchuk , V. N. Melnikov

A family of spherically symmetric solutions with horizon in the model with m-component anisotropic fluid is presented. The metrics are defined on a manifold that contains a product of n-1 Ricci-flat "internal" spaces. The equation of state…

General Relativity and Quantum Cosmology · Physics 2011-04-20 V. D. Ivashchuk

A family of black-hole solutions in the model with 1-component perfect fluid is obtained. The metric of any solution contains (n -1) Ricci-flat "internal space" metrics and for certain equations of state coincides with the metric of black…

General Relativity and Quantum Cosmology · Physics 2010-11-19 V. D. Ivashchuk , V. N. Melnikov , A. B. Selivanov

A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $\cal G$ is considered. The solution contains a metric, $n$ Abelian 2-forms and $n$ scalar fields, where $n$ is the rank of $\cal G$. It is governed by a…

High Energy Physics - Theory · Physics 2017-10-25 V. D. Ivashchuk

We deal with generalized Melvin-like solutions associated with Lie algebras of rank $4$ ($A_4$, $B_4$, $C_4$, $D_4$, $F_4$). Any solution has static cylindrically-symmetric metric in $D$ dimensions in presence of four Abelian 2-forms and…

High Energy Physics - Theory · Physics 2021-01-26 S. V. Bolokhov , V. D. Ivashchuk

Composite S-brane solutions in multidimensional gravity with scalar fields and fields of forms related to Toda-like systems are presented. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n, where R_{*} is a time…

High Energy Physics - Theory · Physics 2009-11-07 V. D. Ivashchuk

A multidimensional generalization of Melvin's solution for an arbitrary simple Lie algebra $\cal G$ is considered. The gravitational model in $D$ dimensions, $D \geq 4$, contains $n$ 2-forms and $l \geq n$ scalar fields, where $n$ is the…

High Energy Physics - Theory · Physics 2017-10-25 S. V. Bolokhov , V. D. Ivashchuk

A family of spherically symmetric solutions in the model with 1-component anisotropic fluid is considered. The metric of the solution depends on a parameter q > 0 relating radial pressure and the density and contains n -1 parameters…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Dehnen , V. D. Ivashchuk , V. N. Melnikov

We present a description of computational program (written in Maple) for calculation of fluxbrane polynomials corresponding to classical simple Lie algebras. These polynomials define certain special solutions to open Toda chain equations.

Exactly Solvable and Integrable Systems · Physics 2008-04-07 A. A. Golubtsova , V. D. Ivashchuk

Starting with the D-dimensional Einstein-dilaton-antisymmetric form equations and assuming a block-diagonal form of a metric we derive a $(D-d)$-dimensional $\sigma$-model with the target space $SL(d,R)/SO(d) \times SL(2,R)/SO(2) \times R$…

High Energy Physics - Theory · Physics 2009-12-30 D. V. Gal'tsov , O. A. Rytchkov
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