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Critical collapse of an axisymmetric ultrarelativistic fluid in 2+1 dimensions

Aug 8, 2021

14 pages

Published in:

Phys.Rev.D 104 (2021) 10, 104017

Published: Nov 5, 2021

e-Print:

2108.03643 [gr-qc]

DOI:

10.1103/PhysRevD.104.104017 (publication)

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Abstract: (APS)

We carry out numerical simulations of the gravitational collapse of a rotating perfect fluid with the ultrarelativistic equation of state

P = κ ρ

, in axisymmetry in

2 + 1

spacetime dimensions with

Λ < 0

. We show that for

κ ≲ 0.42

, the critical phenomena are type I, and the critical solution is stationary. The picture for

κ ≳ 0.43

is more delicate: for small angular momenta, we find type II phenomena, and the critical solution is quasistationary, contracting adiabatically. The spin-to-mass ratio of the critical solution increases as it contracts, and hence, so does that of the black hole created at the end as we fine-tune to the black-hole threshold. Forming extremal black holes is avoided because the contraction of the critical solution smoothly ends as extremality is approached.

Note:

14 pages, 8 figures. Typos corrected. This version has been accepted by PRD

References(15)

Figures(14)

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