Implication of U-duality for black branes in M/string theory

TL;DR

This paper demonstrates how U-duality and related symmetries can derive black brane solutions in M-theory and string theory, including exotic and time-dependent cases, without explicit form field knowledge.

Contribution

It extends the use of duality symmetries to obtain black brane solutions in string theory, including exotic and dynamic configurations, without explicit form field solutions.

Findings

Relations among metric components derived from duality symmetries

Black brane solutions obtained without explicit form fields

Method applicable to exotic and time-dependent branes

Abstract

U-duality symmetry of M-theory and S and T-duality of string theory can be used to study various black branes solutions. We explore some aspect of this idea here. This symmetry can be used to get relations among various components of the metric of the black brane. These relations in turn give relations among various components of the energy-momentum tensor. We show that, using these relations, without knowing the explicit form of form fields, we can get the black brane solutions. These features were studied previously in the context of M-theory. Here we extensively studied them in string theory (type II supergravity). We also show that this formulation works for exotic branes. We give an example of a time-dependent system where this method is essential.