We consider a general Einstein-scalar-Gauss-Bonnet theory with a coupling function $f(\varphi )$. 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 $f(\varphi )$. 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 $f(\varphi )$.

• Received 12 September 2017
• Revised 13 December 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.131102

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Published by the American Physical Society