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Rocha, J. V. & Raphael Santarelli (2018). Scanning the parameter space of collapsing rotating thin shells. Classical and Quantum Gravity.

J. M. Rocha and R. Santarelli,  "Scanning the parameter space of collapsing rotating thin shells", in Classical and Quantum Gravity, 2018

@article{rocha2018_1732209839490,
	author = "Rocha, J. V. and Raphael Santarelli",
	title = "Scanning the parameter space of collapsing rotating thin shells",
	journal = "Classical and Quantum Gravity",
	year = "2018",
	volume = "",
	number = "",
	doi = "10.1088/1361-6382/aac310",
	url = "https://doi.org/10.1088/1361-6382/aac310"
}

TY  - JOUR
TI  - Scanning the parameter space of collapsing rotating thin shells
T2  - Classical and Quantum Gravity
AU  - Rocha, J. V.
AU  - Raphael Santarelli
PY  - 2018
SN  - 0264-9381
DO  - 10.1088/1361-6382/aac310
UR  - https://doi.org/10.1088/1361-6382/aac310
AB  - 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 analyse 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 respects 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 for 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.
ER  -