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.
Keywords
Cite
@article{arxiv.gr-qc/9701003,
title = {Topology of Event Horizon},
author = {Masaru Siino},
journal= {arXiv preprint arXiv:gr-qc/9701003},
year = {2016}
}
Comments
26 pages, revtex.sty, 6 figures, Some of assumptions and consequences are corrected and also grammatical errors are corrected