Brown-York mass and the hoop conjecture in non-spherical massive systems

Abstract

We discuss the relation between the concentration of the Brown-York mass and the formation of trapped surfaces in non-spherical massive systems. In particular, we formulate and prove a precise version of the Thorne hoop conjecture in conformally flat three-geometries sliced by equipotential foliation leaves. An intriguing relationship between the total rest mass and the Brown-York mass is shown. This is a further investigation of the previous work on the Brown-York mass hoop conjecture in spherical symmetry.

References in corpus (10)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• A Reformulation of the Hoop Conjecture
• The Jang equation, apparent horizons, and the Penrose inequality
• The Hoop Conjecture in Spherically Symmetric Spacetimes
• Gravitational Collapse of Vacuum Gravitational Field Configurations
• The Brown-York mass and the Thorne hoop conjecture
• Sufficient Conditions for Apparent Horizons in Spherically Symmetric Initial Data
• Event horizons and apparent horizons in spherically symmetric geometries
• Event horizons and apparent horizons in spherically symmetric geometries
• Necessary Conditions for Apparent Horizons and Singularities in Spherically Symmetric Initial Data

Cited by in corpus (11)

• Primordial black hole formation in the matter-dominated phase of the Universe
• A maximum magnetic moment to angular momentum conjecture
• Brown-York quasilocal energy in Lanczos-Lovelock gravity and black hole horizons
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture
• Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
• Analytical studies on the hoop conjecture in charged curved spacetimes
• Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces
• Investigations on hoop conjecture for horizonless spherical charged stars
• Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture
• A unified hoop conjecture for black holes and horizonless compact stars