Horizons

Details Horizons Horizons

2011-11-19

arxiv.org/abs/1111.4571v1

Physics

Mathematical Physics

10 pages

Scientific paper

We define different notions of black holes, event horizons and Killing horizons for a general time-oriented manifold $(M,g)$ extending previous notions but without the assumption of the existence of a causal boundary for $(M,g)$. The notions of 'horizon' are always conformally invariant while the notions of 'black hole' are genuinely geometric. Some connections between the different notions are found. Finally, we state and compare different versions of the weak cosmic censorship conjecture with precise geometric assumptions.

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