Stable Topologies of Event Horizon

Abstract

In our previous work, it was shown that the topology of an event horizon (EH) is determined by the past endpoints of the EH. A torus EH (the collision of two EH) is caused by the two-dimensional (one-dimensional) set of the endpoints. In the present article, we examine the stability of the topology of the EH. We see that a simple case of a single spherical EH is unstable. Furthermore, in general, an EH with handles (a torus, a double torus, ...) is structurally stable in the sense of catastrophe theory.

21 pages, revtex, five figures contained

References in corpus (5)

• On the topology of stationary black holes
• Topology of Event Horizons and Topological Censorship
• Dynamics of Apparent and Event Horizons
• Topology of Event Horizon
• Topological Appearance of Event Horizon: What Is the Topology of the Event Horizon That We Can See?

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• Topological Censorship and Higher Genus Black Holes
• The Asymmetric Merger of Black Holes
• Physical interpretation of gauge invariant perturbations of spherically symmetric space-times
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• Toroidal marginally outer trapped surfaces in closed Friedmann-Lemaitre-Robertson-Walker spacetimes: Stability and isoperimetric inequalities
• Adaptive Event Horizon Tracking and Critical Phenomena in Binary Black Hole Coalescence
• Topological derivation of Black Hole entropy by analogy with a chain polymer
• Limit structure of Future Null Infinity tangent -topology of the event horizon and gravitational wave tail-