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

• Published in: The European physical journal. C, Particles and fields Vol. 82; no. 6; pp. 1 - 10
• Main Author: Zhang, Shao-Jun
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2022; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Black holes; Clouds; Electromagnetic fields; Electromagnetism; Elementary Particles; Gravitation; Gravity; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nonlinearity; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-022-10464-0

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.