Topological Appearance of Event Horizon : What Is the Topology of the Event Horizon That We Can See?

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概要

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• The topology of event horizon (TOEH) is usually believe to be a sphere. Nevertheless , some numerical simulations of gravitational collapse with a toroidal event horizon or the collision of event horizons are reported. Considering the indifferentiability of the event horizon (EH), we see that such non-trivial TOEHs are caused by the set of endpoints (the crease set) of the EH. The two- dimensional (one-dimensional) crease set is related to the toroidal EH (the coalescence of the EH). Furthermore, examining the stability of the structure of the endpoints, it becomes clear that the spherical TOEH is unstable under linear perturbation. On the other hand, a discussion based on catastrophe theory reveals that the TOEH with handles is stable and generic. Also, the relation between the TOEH and the hoop conjecture is discussed. It is shown that the Kastor-Traschen solution is regarded as a good example of the hoop conjecture by the discussion of its TOEH. We further conjecture that a non-native TOEH can be smoothed out by rough observation in its mass scale.

• 理論物理学刊行会の論文
• 1998-01-25

著者

• SHIINO Masaru

  Department of Physics, Tokyo Institute of Technology

• Siino Masaru

  Department Of Physic Kyoto University

• SIINO Masaru

  Department of Physic, Kyoto University

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