Spherical black holes with minimally coupled scalar cloud/hair in Einstein-Born-Infeld gravity
arXiv:2201.09703 · doi:10.1140/epjc/s10052-022-10464-0
Abstract
Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell gravity. We extend these studies to Einstein-Born-Infeld gravity to consider the effect of nonlinearity of the electromagnetic field. Series of spherical cloudy/hairy black hole solutions are constructed numerically. Results show that increasing the Born-Infeld coupling constant will make the domain of existence of the solution shrink or even disappear when is large enough. This implies that, competing with the gravitation, nonlinearity of the electromagnetic field will make the formation of scalar cloud/hair harder or even impossible.
arXiv comment18 pages, 8 figures. Minor modifications to match published version
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