Topology of Event Horizon

Abstract

The topologies of event horizons are investigated. Considering the existence of the endpoint of the event horizon, it cannot be differentiable. Then there are the new possibilities of the topology of the event horizon though they are excluded in smooth event horizons. The relation between the topology of the event horizon and the endpoint of it is revealed. A torus event horizon is caused by two-dimensional endpoints. One-dimensional endpoints provide the coalescence of spherical event horizons. Moreover, these aspects can be removed by an appropriate timeslicing. The result will be useful to discuss the stability and generality of the topology of the event horizon.

26 pages, revtex.sty, 6 figures, Some of assumptions and consequences are corrected and also grammatical errors are corrected

References in corpus (4)

• Topological Censorship
• On the topology of stationary black holes
• Topology of Event Horizons and Topological Censorship
• Dynamics of Apparent and Event Horizons

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• Stable Topologies of Event Horizon
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• Precursory collapse in Neutron Star-Black Hole mergers
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• On the Topology of Black Lenses
• Topology Changing Process of Coalescing Black Holes on Eguchi-Hanson Space
• Topological derivation of Black Hole entropy by analogy with a chain polymer
• You Cannot Press Out the Black Hole
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