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Formation of supermassive black holes through fragmentation of torodial supermassive stars. (English) Zbl 1228.83078
Summary: We investigate new paths to supermassive black hole formation by considering the general relativistic evolution of a differentially rotating polytrope with a 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 onset of nonaxisymmetric dynamical instabilities of supermassive stars in full general relativity.

MSC:
83C57 Black holes
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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