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Phys. Rev. D 69, 101501(R) (2004) [5 pages]

Geometric inequalities and trapped surfaces in higher dimensional spacetimes

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Claude Barrabès*
Laboratoire de Mathématiques et Physique Théorique, CNRS/UMR 6083, Université F. Rabelais, 37200 Tours, France

Valeri P. Frolov
Theoretical Physics Institute, Department of Physics, University of Alberta, Alberta, Canada, T6G 2J1

Emmanuel Lesigne
Laboratoire de Mathématiques et Physique Théorique, CNRS/UMR 6083, Université F. Rabelais, 37200 Tours, France

Received 13 February 2004; published 7 May 2004

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

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.101501
DOI:
10.1103/PhysRevD.69.101501
PACS:
04.50.+h, 04.70.Bw, 98.80.Cq

*E-mail: barrabes@phys.univ-tours.fr

E-mail: frolov@phys.ualberta.ca

E-mail: emmanuel.lesigne@univ-tours.fr