Gravitating sphalerons and sphaleron black holes in asymptotically anti-de Sitter spacetime

TL;DR

This paper demonstrates the existence of spherically symmetric sphaleron and black hole solutions in Einstein-Yang-Mills-Higgs theory with a negative cosmological constant, highlighting their properties and instability in asymptotically anti-de Sitter spacetime.

Contribution

It provides numerical evidence for new regular and black hole solutions in EYMH theory with negative cosmological constant, and analyzes their stability and differences from flat spacetime solutions.

Findings

Existence of spherically symmetric solutions in AdS spacetime.

Solutions approach anti-de Sitter geometry asymptotically.

Sphaleron solutions are shown to be unstable.

Abstract

Numerical arguments are presented for the existence of spherically symmetric regular and black hole solutions of the EYMH equations with a negative cosmological constant. These solutions approach asymptotically the anti-de Sitter spacetime. The main properties of the solutions and the differences with respect to the asymptotically flat case are discussed. The instability of the gravitating sphaleron solutions is also proven.