Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions - INSPIRE

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Critical collapse of a spherically symmetric ultrarelativistic fluid in 2+1 dimensions

Patrick Bourg
(
- Southampton U.
)
,
Carsten Gundlach
(
- Southampton U.
)

Apr 24, 2021

22 pages

Published in:

Phys.Rev.D 103 (2021) 12, 124055

Published: Jun 15, 2021

e-Print:

2104.11940 [gr-qc]

DOI:

10.1103/PhysRevD.103.124055 (publication)

View in:

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Abstract: (APS)

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

P = κ ρ

, in spherical symmetry in

2 + 1

spacetime dimensions with

Λ < 0

. At the threshold of prompt collapse, we find type II critical phenomena (apparent horizon mass and maximum curvature scale as powers of distance from the threshold) for

κ ≳ 0.43

, and type I critical phenomena (lifetime scales as logarithm of distance from the threshold) for

κ ≲ 0.42

. The type I critical solution is static, while the type II critical solution is not self-similar (as in higher dimensions), but contracting quasistatically.

Note:

22 pages, 15 figures. Typos corrected. This version has been accepted by PRD

References(15)

Figures(29)

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