Multidimensional Cosmological and Spherically Symmetric Solutions with Intersecting p-Branes

Ivashchuk, V. D.; Melnikov, V. N.

doi:10.1007/3-540-46671-1_9

Cited by 37 publications

(67 citation statements)

References 116 publications

(145 reference statements)

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“…This conjecture was verified for solutions with A m and C m series of Lie algebras [2,3] and also confirmed by special black-brane "block-orthogonal" solutions considered earlier in [15,16]. It should be noted that an analogue of this conjecture for extremal black holes was considered earlier in [11].…”

Section: Introductionsupporting

confidence: 71%

“…They are equivalent to the Toda-type equations [4]. The first boundary condition (16) guarantees the existence of a regular horizon at Rd = 2µ. The second condition (17) ensures an asymptotical flatness (for R → +∞) of the (2 + d 1 )-dimensional section of the metric.…”

Section: P-brane Black Hole Solutionsmentioning

confidence: 99%

“…where H s0 are defined in (16). The solution under consideration describes a set of charged (by forms) overlapping black p-branes "living" on submanifolds of M 2 × .…”

Section: P-brane Black Hole Solutionsmentioning

confidence: 99%

See 2 more Smart Citations

Black-brane solution for A3 algebra

2002

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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 imposed. A new solution with intersections corresponding to the Lie algebra A 3 is obtained. The functions H 1 , H 2 and H 3 for this solution are polynomials of degree 3, 4 and 3, correspondingly. An example of A 3 -solution with three 3-branes in 12-dimensional model (suggested by N. Khviengia et al) is presented.

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Section: Introductionsupporting

confidence: 71%

Section: P-brane Black Hole Solutionsmentioning

confidence: 99%

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Black-brane solution for A3 algebra

2002

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“…those of superstring or supergravity origin (see, for example [4] and references therein). These solutions deal with time-dependent scale factors of internal spaces (for reviews see [5,6,8,9]) and contain as a special case the so-called S-brane solutions [10], i.e. space like analogues of D -branes [18], see for example [11,12,13,14,15,16,17] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Composite S-Brane Solutions on the Product of Ricci-Flat Spaces

Ivashchuk

Melnikov

Selivanov

2004

General Relativity and Gravitation

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A family of generalized S -brane solutions with orthogonal intersection rules and n Ricci-flat factor spaces in the theory with several scalar fields and antisymmetric forms is considered. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. These subclasses contain sub-families of solutions with accelerated expansion of certain factor spaces. The solutions depend on charge densities of branes, their dimensions and intersections, dilatonic couplings and the number of dilatonic fields.

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“…Thus, the solution is given by Relations (102)-(106) with the functions q s being defined in (107) and with relations on the parameters of solutions c A ,c A (A = i, α, 0) , imposed by (109)-(111).…”

Section: The Solutionsmentioning

confidence: 99%

On Brane Solutions with Intersection Rules Related to Lie Algebras

Ivashchuk

2017

Symmetry

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Abstract:The review is devoted to exact solutions with hidden symmetries arising in a multidimensional gravitational model containing scalar fields and antisymmetric forms. These solutions are defined on a manifold of the form M = M 0 × M 1 × . . . × M n , where all M i with i ≥ 1 are fixed Einstein (e.g., Ricci-flat) spaces. We consider a warped product metric on M . Here, M 0 is a base manifold, and all scale factors (of the warped product), scalar fields and potentials for monomial forms are functions on M 0 . The monomial forms (of the electric or magnetic type) appear in the so-called composite brane ansatz for fields of forms. Under certain restrictions on branes, the sigma-model approach for the solutions to field equations was derived in earlier publications with V.N.Melnikov. The sigma model is defined on the manifold M 0 of dimension d 0 = 2 . By using the sigma-model approach, several classes of exact solutions, e.g., solutions with harmonic functions, S-brane, black brane and fluxbrane solutions, are obtained. For d 0 = 1 , the solutions are governed by moduli functions that obey Toda-like equations. For certain brane intersections related to Lie algebras of finite rank-non-singular Kac-Moody (KM) algebras-the moduli functions are governed by Toda equations corresponding to these algebras. For finite-dimensional semi-simple Lie algebras, the Toda equations are integrable, and for black brane and fluxbrane configurations, they give rise to polynomial moduli functions. Some examples of solutions, e.g., corresponding to finite dimensional semi-simple Lie algebras, hyperbolic KM algebras: H 2 (q, q) , AE 3 , H A (1) 2 , E 10 and Lorentzian KM algebra P 10 , are presented.

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Multidimensional Cosmological and Spherically Symmetric Solutions with Intersecting p-Branes

Cited by 37 publications

References 116 publications

Black-brane solution for A3 algebra

Black-brane solution for A3 algebra

Composite S-Brane Solutions on the Product of Ricci-Flat Spaces

On Brane Solutions with Intersection Rules Related to Lie Algebras

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