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- W1639106525 abstract "I propose a sharp form of Thorne's hoop conjecture which relates Birkhoff's invariantfor an outermost apparent horizon to its ADM mass, � � 4�MADM. I prove the conjecture in the case of collaps- ing null shells and provide further evidence from exact rotating black hole solutions. Sinceis bounded below by the length l of the shortest non-trivial geodesic lying in the apparent horizon, the conjecture implies l � 4�MADM. The Penrose conjecture, pA � 4�MADM, and Pu's theorem imply this latter consequence for horizons admitting an antipo- dal isometry. Quite generally, Penrose's inequality and Berger's isem- bolic inequality, pA � 2 pi, where i is the injectivity radius, imply" @default.
- W1639106525 created "2016-06-24" @default.
- W1639106525 creator A5000463505 @default.
- W1639106525 date "2009-03-09" @default.
- W1639106525 modified "2023-09-27" @default.
- W1639106525 title "Birkhoff's invariant and Thorne's Hoop Conjecture" @default.
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