Black brane solutions related to non-singular Kac-Moody algebras
High Energy Physics - Theory
2015-01-23 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
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 solutions with intersecting composite branes (e.g., solutions with harmonic functions and black brane ones) with intersection rules related to non-singular Kac-Moody (KM) algebras (e.g. hyperbolic ones) are considered. Some examples of black brane solutions are presented, e.g., those corresponding to hyperbolic KM algebras: H_2(q,q) (q > 2), HA_2^(1) = A_2^{++} and to the Lorentzian KM algebra P_{10}.
Keywords
Cite
@article{arxiv.1101.4409,
title = {Black brane solutions related to non-singular Kac-Moody algebras},
author = {V. D. Ivashchuk and V. N. Melnikov},
journal= {arXiv preprint arXiv:1101.4409},
year = {2015}
}
Comments
16 pages, Latex