Rotating Intersecting M-Branes

TL;DR

This paper constructs intersecting rotating M-brane solutions in eleven-dimensional supergravity, revealing how angular momentum affects harmonic functions and intersection rules, and connecting these solutions to non-extreme rotating black holes upon compactification.

Contribution

It introduces explicit intersecting rotating M-brane solutions with detailed harmonic and non-extremality functions, extending previous static solutions to include rotation effects.

Findings

Derived harmonic functions for rotating M-branes.

Established intersection rules for rotating configurations.

Linked solutions to non-extreme rotating black holes.

Abstract

We present intersecting p-brane solutions of eleven-dimensional supergravity (M-branes) which upon toroidal compactification reduce to non-extreme ``rotating'' black holes. We identify harmonic functions, associated with each M-brane, and non-extremality functions, specifying a deviation from the BPS limit. These functions are modified due to the angular momentum parameters, which specify the rotation along the transverse directions of the M-branes. We spell out the intersection rules for the eleven-dimensional space-time metric for intersecting (up to three) rotating M-brane configurations (and a boost along the common intersecting direction).