General Static (Intersecting) Brane Solutions

TL;DR

This paper introduces a new class of static intersecting brane solutions in string/M theory, derived through U duality transformations, which are useful for studying higher-dimensional brane stars and their collapse.

Contribution

It provides a novel method to generate general static brane solutions using U duality operations from eleven-dimensional vacuum solutions.

Findings

Derived new static brane solutions with an extra parameter.

Demonstrated solution generation via U duality transformations.

Potential applications in modeling higher-dimensional brane stars.

Abstract

We present one extra parameter worth of new static brane and intersecting brane solutions in string/M theory. These general solutions may be obtained by solving the equations of motion directly. But, in this letter, we first obtain the general eleven dimensional vacuum solutions, and then generate the brane solutions by U duality operations -- namely boosting, dimensional reduction and uplifting, and S and T dualties. Such general solutions will be needed in the study of higher dimensional brane stars and their collapse.