Spherical black holes with minimally coupled scalar cloud/hair in Einstein-Born-Infeld gravity

Understand

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 $b$ will make the domain of existence of the solution shrink or even disappear when $b$ is large enough.