Inequalities Between Size and Charge for Bodies and the Existence of Black Holes Due to Concentration of Charge

Abstract

A universal inequality that bounds the charge of a body by its size is presented, and is proven as a consequence of the Einstein equations in the context of initial data sets which satisfy an appropriate energy condition. We also present a general sufficient condition for the formation of black holes due to concentration of charge, and discuss the physical relevance of these results.

11 pages; final version. This article builds on previous work (arXiv:1503.06166) by replacing the role of angular momentum by that of electromagnetic charge

References in corpus (3)

• Electrically Charged Strange Quark Stars
• On the shape of bodies in General Relativistic regimes
• Some remarks on the size of bodies and black holes

Cited by in corpus (8)

• Electromagnetic Luminosity of the Coalescence of Charged Black Hole Binaries
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Bekenstein Bounds, Penrose Inequalities, and Black Hole Formation
• Size, angular momentum and mass for objects
• Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces
• The inequality between size and charge in spherical symmetry
• Refined inequalities for loosely trapped surface/attractive gravity probe surface
• Geometric inequalities in spherically symmetric spacetimes