Disclosing connections between black holes and naked singularities: Horizon remnants, Killing throats and bottlenecks. (arXiv:1902.07917v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Pugliese_D/0/1/0/all/0/1">D. Pugliese</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Quevedo_H/0/1/0/all/0/1">H. Quevedo</a>
We study the properties of black holes and naked singularities by considering
stationary observers and light surfaces in Kerr spacetimes. We reconsider the
notion of Killing horizons from a special perspective by exploring the entire
family of Kerr metrics. To this end, we introduce the concepts of extended
plane, Killing throats and bottlenecks for weak (slowly spinning) naked
singularities. Killing bottlenecks (or horizon remnants in analogy with the
corresponding definition of throats in black holes) are restrictions of the
Killing throats appearing in special classes of slowly spinning naked
singularities. Killing bottlenecks appear in association with the concept of
pre-horizon regime introduced in [1, 2]. In the extended plane of the Kerr
spacetime, we introduce particular sets, metric bundles, of metric tensors
which allow us to reinterpret the concept of horizon and to find connections
between black holes and naked singularities throughout the horizons. To
evaluate the effects of frame-dragging on the formation and structure of
Killing bottlenecks and horizons in the extended plane, we consider also the
Kerr-Newman and the Reissner-Norstrom spacetimes. We argue that these results
might be significant for the comprehension of processes that lead to the
formation and eventually destruction of Killing horizons.
We study the properties of black holes and naked singularities by considering
stationary observers and light surfaces in Kerr spacetimes. We reconsider the
notion of Killing horizons from a special perspective by exploring the entire
family of Kerr metrics. To this end, we introduce the concepts of extended
plane, Killing throats and bottlenecks for weak (slowly spinning) naked
singularities. Killing bottlenecks (or horizon remnants in analogy with the
corresponding definition of throats in black holes) are restrictions of the
Killing throats appearing in special classes of slowly spinning naked
singularities. Killing bottlenecks appear in association with the concept of
pre-horizon regime introduced in [1, 2]. In the extended plane of the Kerr
spacetime, we introduce particular sets, metric bundles, of metric tensors
which allow us to reinterpret the concept of horizon and to find connections
between black holes and naked singularities throughout the horizons. To
evaluate the effects of frame-dragging on the formation and structure of
Killing bottlenecks and horizons in the extended plane, we consider also the
Kerr-Newman and the Reissner-Norstrom spacetimes. We argue that these results
might be significant for the comprehension of processes that lead to the
formation and eventually destruction of Killing horizons.
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