Burkhard Zink et al 2007 J. Phys.: Conf. Ser. 68 012050 doi:10.1088/1742-6596/68/1/012050
Burkhard Zink1,4, Nikolaos Stergioulas2, Ian Hawke3, Christian D Ott4, Erik Schnetter1 and Ewald Müller5
Show affiliationsWe investigate new paths to black hole formation by considering the general relativistic evolution of a differentially rotating polytrope with toroidal shape. We find that this polytrope is unstable to nonaxisymmetric modes, which leads to a fragmentation into self-gravitating, collapsing components. In the case of one such fragment, we apply a simplified adaptive mesh refinement technique to follow the evolution to the formation of an apparent horizon centered on the fragment. This is the first study of the one-armed instability in full general relativity.
04.70.-s Physics of black holes
04.40.-b Self-gravitating systems; continuous media and classical fields in curved spacetime
Issue 1 (2007)
Burkhard Zink et al 2007 J. Phys.: Conf. Ser. 68 012050
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L Allen 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S1
Alexandre Vial 2007 J. Opt. A: Pure Appl. Opt. 9 745
Ben van Well et al 2005 J. Opt. A: Pure Appl. Opt. 7 S420
Giulio Fanti and Roberto Maggiolo 2004 J. Opt. A: Pure Appl. Opt. 6 491
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Jianbo Liu et al 2011 J. Neural Eng. 8 045002
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