Introducing the inverse hoop conjecture for black holes

Abstract

It is conjectured that stationary black holes are characterized by the inverse hoop relation $\mathcal{A}\le {\mathcal{C}}^2/\pi$, where $\mathcal{A}$ and $\mathcal{C}$ are respectively the black-hole surface area and the circumference length of the smallest ring that can engulf the black-hole horizon in every direction. We explicitly prove that generic Kerr-Newman-(anti)-de Sitter black holes conform to this conjectured area-circumference relation.

arXiv comment7 pages

References in corpus (4)

• Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
• Cosmic Censorship Upheld in Spheroidal Collapse of Collisionless Matter
• On the status of the hoop conjecture in charged curved spacetimes
• Analytical studies on the hoop conjecture in charged curved spacetimes

Cited by in corpus (6)

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• From maximum force to physics in 9 lines and towards relativistic quantum gravity
• On the Kalb-Ramond modified Lorentz violating hairy black holes and Thorne's hoop conjecture
• Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture