Black chain of pearls in 5D de Sitter spacetime

Abstract

We analyze some exact chain-shaped black hole solutions in 5-dimensional spacetime. Unlike usual black string and black ring solutions, the topology of the horizons of the new solutions are neither $\mathbb{R}\times R^2$ nor $S^1\times S^2$ but rather like several topological spheres concatenating each other at single points. The shape of the horizon suggests the name \emph{black chain of pearls} on which each \emph{pearl} is a topological 3-sphere on the chain. In addition to the usual black hole hairs, the number of pearls can be viewed as a new hair of the black chain of pearls.

4 pages, 3 figures. Wrong statements on stability based on error incaculations corrected. New references added

References in corpus (2)

• On Black Ring with a Positive Cosmological Constant
• Non-uniform Black Strings with Schwarzschild-(Anti-)de Sitter Foliation