An infinity of black holes

Abstract In general relativity (without matter), there is typically a one parameter family of static, maximally symmetric black hole solutions labeled by their mass. We show that are situations with many more holes. study asymptotically anti-de Sitter in six and seven dimensions having conformal boundary which product spheres cross time. the number families holes depends on ratio, λ , radii spheres. As approaches critical value, c such becomes infinite. each family, we can take size to zero, obtaining an infinite non-black solutions. discuss several applications these results, including Hawking–Page phase transitions diagram dual field theories spheres, new positive energy conjectures, more.