Stable Topologies of Event Horizon

Details Stable Topologies of Event Horizon Stable Topologies of Event Horizon

1997-09-07

arxiv.org/abs/gr-qc/9709015v1

Phys.Rev. D59 (1999) 064006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, revtex, five figures contained

Scientific paper

10.1103/PhysRevD.59.064006

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.

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