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Horizons vs. singularities in spherically symmetric space-times · Around

2008

Horizons vs. singularities in spherically symmetric space-times

Bronnikov, K. A., Elizalde, E., Odintsov, S. D. et al.

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We discuss different kinds of Killing horizons possible in static, spherically symmetric configurations and recently classified as "usual", "naked" and "truly naked" ones depending on the near-horizon behavior of transverse tidal forces acting on an extended body.

We obtain necessary conditions for the metric to be extensible beyond a horizon in terms of an arbitrary radial coordinate and show that all truly naked horizons, as well as many of those previously characterized as naked and even usual ones, do not admit an extension and therefore must be considered as singularities.
Some examples are given, showing which kinds of matter are able to create specific space-times with different kinds of horizons, including truly naked ones.
Among them are fluids with negative pressure and scalar fields with a particular behavior of the potential.

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