Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scanning the parameter space of collapsing rotating thin shells   We present results of a comprehensive study of collapsing and bouncing thin
shells with rotation, framing it in the context of the weak cosmic censorship
conjecture. The analysis is based on a formalism developed specifically for
higher odd dimensions that is able to describe the dynamics of collapsing
rotating shells exactly. We analise and classify a plethora of shell
trajectories in asymptotically flat spacetimes. The parameters varied include
the shell's mass and angular momentum, its radial velocity at infinity, the
(linear) equation-of-state parameter and the spacetime dimensionality. We find
that plunges of rotating shells into black holes never produce naked
singularities, as long as the matter shell obeys the weak energy condition, and
so respect cosmic censorship. This applies to collapses of dust shells starting
from rest or with a finite velocity at infinity. Not even shells with a
negative isotropic pressure component (i.e., tension) lead to the formation of
naked singularities, as long as the weak energy condition is satisfied.
Endowing the shells with a positive isotropic pressure component allows the
existence of bouncing trajectories satisfying the dominant energy condition and
fully contained outside rotating black holes. Otherwise any turning point
occurs always inside the horizon. These results are based on strong numerical
evidence from scans of numerous sections in the large parameter space available
to these collapsing shells. The generalisation of the radial equation of motion
to a polytropic equation-of-state for the matter shell is also included in an
appendix.

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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an