Exact Solutions to Supergravity

TL;DR

This paper derives exact p-1-brane solutions in supergravity, including known and novel configurations like a non-charged type I string, expanding understanding of possible supergravity solutions.

Contribution

It provides a general method for finding p-1-brane solutions, revealing new solutions such as a non-charged type I string in supergravity.

Findings

Derived a general p-1-brane solution using the standard ansatz.

Identified solutions that preserve half of the supersymmetry.

Discovered a non-dynamical, non-charged type I string solution.

Abstract

We find a general p-1-brane solution to supergravity coupled to a p+1-form field strength using the ``standard ansatz'' for the fields. In addition to the well-known elementary and solitonic p-1-brane solutions, which are the only ones preserving half of the supersymmetry (for the cases where the supersymmetry transformations are known), there are other possibilities, the most interesting of which is an elementary type~I string solution with a non-dynamical string source and no conserved charge.