The St\"utzfunktion and the Cut Function
General Relativity and Quantum Cosmology
2017-10-30 v1
Abstract
I review some standard theory of convex bodies in and rephrase it in a formalism of Ted Newman to show the relation between the St\"utzfunktion of the former theory and the cut function introduced by Ted. This leads to a conjectured inequality for space-like two-spheres in Minkowski space that generalises Minkowski's inequality and is implied by Penrose's cosmic censorship hypothesis.
Cite
@article{arxiv.1710.10052,
title = {The St\"utzfunktion and the Cut Function},
author = {Paul Tod},
journal= {arXiv preprint arXiv:1710.10052},
year = {2017}
}
Comments
10 pages. This is a corrected, revised and updated version of a paper which originally appeared in Recent Advances in General Relativity, eds. A I Janis and J R Porter, Einstein Studies vol. 4, Birkha\"user 1992