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 beta. It is shown that these solutions in the limits of beta -> 0 and beta -> infinity represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For 0 < beta < infinity it yields a variety of black holes, supporting even regular ones at r = 0.