Composite p-branes on Product of Einstein Spaces

TL;DR

This paper develops a class of solutions in a multidimensional gravitational model with scalar and form fields, generalizing Freund-Rubin solutions on products of Einstein spaces, including AdS and sphere configurations.

Contribution

It introduces a new class of composite p-brane solutions on products of Einstein spaces, extending known solutions like Freund-Rubin to more complex geometries.

Findings

Derived explicit solutions on product of Einstein spaces.

Included examples with AdS and spherical geometries.

Generalized Freund-Rubin solutions to composite p-branes.

Abstract

A multidimensional gravitational model with several scalar fields, fields of forms and cosmological constant is considered. When scalar fields are constant and composite p-brane monopole-like ansatz for the fields of forms is adopted, a wide class of solutions on product of n+1 Einstein spaces is obtained. These solutions are the composite p-brane generalizations of the Freund-Rubin solution. Some examples including the AdS_m x S^k x... solutions are considered.