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arXiv · 2201.09703

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

Shao-Jun Zhang
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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 $b$ will make the domain of existence of the solution shrink or even disappear when $b$ 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.

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Shao-Jun Zhang. 2022-01-24. Spherical black holes with minimally coupled scalar cloud/hair in Einstein-Born-Infeld gravity. https://doi.org/10.1140/epjc%2Fs10052-022-10464-0

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