Intersecting p-brane Solutions in Multidimensional Gravity and M-theory

Abstract

Multidimensional gravitational model on the manifold $M=M_0\times {\prod }_{i=1}^n{M}_i$, where $M_i$ are Einstein spaces ($i\ge 1$), is considered. The action contains $m=2^n-1$ dilatonic scalar fields ${\varphi }^I$ and $m$ (antisymmetric) forms $A^I$. When all fields and scale factors of the metric depend (essentially) on the point of $M_0$ and any $A^I$ is "proportional" to the volume form of submanifold $M_{i_1}\times ...\times M_{i_k}$, $1\le i_1<...<i_k\le n$, the sigma-model representation is obtained. A family of "Majumdar-Papapetrou type" solutions are obtained, when all $M_{\nu }$ are Ricci-flat. A special class of solutions (related to the solution of some Diophantus equation on dimensions of $M_{\nu }$) is singled out. Some examples of intersecting p-branes (e.g. solution with seven Euclidean 2-branes for D = 11 supergravity) are considered.}

9 pages, LaTex, subm. to Gravitation and Cosmology

References in corpus (1)

• Multidimensional Gravity with Einstein Internal Spaces

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