Instability of sphaleron black holes in asymptotically anti-de Sitter   space-time
  We prove that sphaleron black holes in ${\mathfrak {su}}(2)$ Einstein-Yang-Mills-Higgs theory with a Higgs doublet in four-dimensional, asymptotically anti-de Sitter space-time are unstable. 
Elizabeth Winstanley
gr-qc