Black hole formation through fragmentation of toroidal polytropes

Details Black hole formation through fragmentation of toroidal polytropes Black hole formation through fragmentation of toroidal polytropes

2005-01-26

arxiv.org/abs/gr-qc/0501080v2

Phys.Rev.Lett.96:161101,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.96.161101

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.

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