Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes
General Relativity and Quantum Cosmology
2009-11-10 v2
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.
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Cite
@article{arxiv.gr-qc/0402081,
title = {Geometric Inequalities and Trapped Surfaces in Higher Dimensional Spacetimes},
author = {Claude Barrabès and Valeri P. Frolov and Emmanuel Lesigne},
journal= {arXiv preprint arXiv:gr-qc/0402081},
year = {2009}
}
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9 pages