paper

Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes

arXiv:gr-qc/0402081 · doi:10.1103/PhysRevD.69.101501

Abstract

Geometric inequalities of classical differential geometry are used to extend to higher dimensional spacetimes the Penrose-Gibbons isoperimetric inequalities and the hoop conjecture of general reltivity.

9 pages