P-brane black holes for general intersections

Abstract

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 = H_s(R) obeying a non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions imposed. Using conjecture on polynomial structure of H_s for intersections related to Lie algebras, new A_2-dyon solutions are obtained. Two examples of these A_2-dyon solutions, i.e. dyon in D = 11 supergravity with M2 and M5 branes intersecting at a point and dyon in Kaluza-Klein theory, are considered.

12 pages, Latex, few typos are eliminated, a correct relation for parameters of special block-orthogonal solution is added (p. 6)

References in corpus (9)

• Intersection Rules for Non-Extreme $p$-Branes
• Lectures on Supergravity p-branes
• Multidimensional Classical and Quantum Cosmology with Intersecting p-branes
• Solutions with intersecting p-branes related to Toda chains
• Toda p-brane black holes and polynomials related to Lie algebras
• The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-Branes
• Properties of Intersecting p-branes in Various Dimensions
• Multidimensional sigma-models with composite electric p-branes
• Sigma-model Solutions and Intersecting p-Branes Related to Lie Algebras

Cited by in corpus (8)

• Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity Conjecture
• Composite fluxbranes with general intersections
• Dilatonic dyon-like black hole solutions in the model with two Abelian gauge fields
• Black-brane solution for A_3 algebra
• On exact solutions in multidimensional gravity with antisymmetric forms
• Intersecting delocalized p-branes
• On Brane Solutions Related to Non-Singular Kac-Moody Algebras
• Dilatonic dyon black hole solutions