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Journal Article

Black hole formation through fragmentation of toroidal polytropes

MPS-Authors

Zink,  Burkhard
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Hawke,  Ian
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Ott,  Christian D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Schnetter,  Erik
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Müller,  Ewald
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0501080.pdf
(Preprint), 325KB

PRL96_161101.pdf
(Publisher version), 488KB

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Citation

Zink, B., Stergioulas, N., Hawke, I., Ott, C. D., Schnetter, E., & Müller, E. (2006). Black hole formation through fragmentation of toroidal polytropes. Physical Review Letters, 96: 161101. Retrieved from http://link.aps.org/abstract/PRL/v96/e161101.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4AFD-3
Abstract
We 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.