Hairy mass bound in the Einstein-Born-Infeld black hole

Abstract

We study the Einstein-Born-Infeld (EBI) theory where the hairy black hole was found as the EBI black hole by using Hod's idea. The hair extends beyond the photon-sphere of the EBI black hole spacetimes. We show that the region beyond the photon-sphere involves more than half of the total hair's mass, which respects Hod's conjectured bound.

4 pages, 1 figure, version to appear in PRD

References in corpus (3)

• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Hairy Black Holes and Null Circular Geodesics
• Nonlinear Electrodynamics and black holes

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• Hair distributions in noncommutative Einstein-Born-Infeld black holes
• The existence of null circular geodesics outside extremal spherically symmetric asymptotically flat hairy black holes
• Upper bound on the radii of regular ultra-compact star photonspheres
• Fermi-like Liquid From Einstein-DBI-Dilaton System
• Upper bounds on the compactness at the innermost light ring of anisotropic horizonless spheres
• No short hair behaviors of ultra-compact stars