Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories

Abstract

We consider a general Einstein-scalar-GB theory with a coupling function f(ϕ). We demonstrate that black-hole solutions appear as a generic feature of this theory since a regular horizon and an asymptotically-flat solution may be easily constructed under mild assumptions for f(ϕ). We show that the existing no-hair theorems are easily evaded, and a large number of regular, black-hole solutions with scalar hair are then presented for a plethora of coupling functions f(ϕ).

PdfLatex, 6 pages, a variety of numerical solutions and 2 figures were added, version to appear in Physical Review Letters