Black rings in more than five dimensions

TL;DR

This paper numerically constructs balanced black ring solutions in six or more dimensions, analyzing their properties and confirming the validity of the Smarr formula in higher-dimensional spacetimes.

Contribution

It introduces a numerical method to find balanced black rings in dimensions greater than five, expanding the understanding of higher-dimensional black hole solutions.

Findings

Black rings with $S^1\times S^{d-3}$ topology constructed in $d\geq 6$.

Solutions approach Minkowski space asymptotically.

Smarr formula is satisfied for these solutions.

Abstract

We construct balanced black ring solutions in $d\geq 6$ spacetime dimensions, by solving the Einstein field equations numerically with suitable boundary conditions. The black ring solutions have a regular event horizon with $S^1\times S^{d-3}$ topology, and they approach the Minkowski background asymptotically. We analyze their global and horizon properties. The Smarr formula is well satisfied.