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
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Cited by in corpus (15)
- Black Holes in Higher Dimensions
- Present status of the Penrose inequality
- Spherical gravitational collapse in N-dimensions
- Gravitational field of a spinning radiation beam-pulse in higher dimensions
- Bulk/Boundary Thermodynamic Equivalence, and the Bekenstein and Cosmic-Censorship Bounds for Rotating Charged AdS Black Holes
- A Reformulation of the Hoop Conjecture
- More about Birkhoff's Invariant and Thorne's Hoop Conjecture for Horizons
- Asymptotic Safety, Asymptotic Darkness, and the hoop conjecture in the extreme UV
- Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture
- Formation of naked singularities in five-dimensional space-time
- Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-
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- Apparent Horizons with Nontrivial Topology and the Hyperhoop Conjecture in Six-Dimensional Space-Times