New non-Abelian black hole solutions in Born-Infeld gravity

We introduce new black hole solutions to the Einstein-Yang-Mills-Born-Infeld (EYMBI), Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet (EYMBIGB), and Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet-Lovelock (EYMBIGBL) gravities in higher dimensions N≥5 to investigate the roles of Born-Infeld parameter β. It is shown that these solutions in the limits of β→0 and β→∞ represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For 0<β<∞ it yields a variety of black holes, supporting even regular ones at $r=0$.