Bekenstein bounds and inequalities between size, charge, angular momentum and energy for bodies

Abstract

Bekenstein bounds for the entropy of a body imply an universal inequality between size, energy, angular momentum and charge. We prove this inequality in Electromagnetism. We also prove it, for the particular case of zero angular momentum, in General Relativity. We further discuss the relation of these inequalities with inequalities between size, angular momentum and charge recently studied in the literature.

21 pages, 2 figures. Minor changes

References in corpus (3)

• Present status of the Penrose inequality
• On the shape of bodies in General Relativistic regimes
• The inequality between size and charge in spherical symmetry

Cited by in corpus (9)

• On the charged Riemannian Penrose inequality with charged matter
• Comparative aspects of spin-dependent interaction potentials for spin-1/2 and spin-1 matter fields
• Bekenstein Bounds, Penrose Inequalities, and Black Hole Formation
• Scalar field black holes
• Geometric Inequalities for Quasi-Local Masses
• Size, angular momentum and mass for objects
• Entropy bounds and nonlinear electrodynamics
• The inequality between size and charge in spherical symmetry
• Bekenstein Inequalities and Nonlinear Electrodynamics