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Scalar field critical collapse in 2+1 dimensions

Joanna Jałmużna
(
- Jagiellonian U.
)
,
Carsten Gundlach
(
- Southampton U.
)
,
Tadeusz Chmaj
(
- Cracow Tech. U. and
- Cracow, INP
)

Oct 9, 2015

27 pages

Published in:

Phys.Rev.D 92 (2015) 12, 124044

Published: Dec 21, 2015

e-Print:

1510.02592 [gr-qc]

DOI:

10.1103/PhysRevD.92.124044

View in:

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Abstract: (APS)

We carry out numerical experiments in the critical collapse of a spherically symmetric massless scalar field in 2+1 spacetime dimensions in the presence of a negative cosmological constant and compare them against a new theoretical model. We approximate the true critical solution as the n=4 Garfinkle solution, matched at the light cone to a Vaidya-like solution, and corrected to leading order for the effect of Λ<0. This approximation is only C3 at the light cone and has three growing modes. We conjecture that pointwise it is a good approximation to a yet unknown true critical solution that is analytic with only one growing mode (itself approximated by the top mode of our amended Garfinkle solution). With this conjecture, we predict a Ricci-scaling exponent of γ=8/7 and a mass-scaling exponent of δ=16/23, compatible with our numerical experiments.

Note:

27 pages

04.20.Dw
dimension: 3
space-time: Vaidya
black hole
field theory: scalar
symmetry: rotation
cosmological constant: negative
collapse
field equations: solution
critical phenomena

References(18)

Figures(35)

[1]

Universality and scaling in gravitational collapse of a massless scalar field

Matthew W. Choptuik
(
- Texas U.
)

- Phys.Rev.Lett. 70 (1993) 9-12
•
DOI:
- 10.1103/PhysRevLett.70.9

[2]

C. Gundlach
,
J.M. Martín-García

- Living Rev.Rel. 2007 (2007) 05

[3]

Critical behavior in gravitational collapse of radiation fluid: A Renormalization group (linear perturbation) analysis

Tatsuhiko Koike
(
- Tokyo Inst. Tech.
)
,
Takashi Hara
(
- Tokyo Inst. Tech.
)
,
Satoshi Adachi
(
- Tokyo Inst. Tech.
)

- Phys.Rev.Lett. 74 (1995) 5170-5173
•
e-Print:
- gr-qc/9503007
•
DOI:
- 10.1103/PhysRevLett.74.5170

[4]

On weakly turbulent instability of anti-de Sitter space

Piotr Bizon
(
- Jagiellonian U. and
- Potsdam, Max Planck Inst.
)
,
Andrzej Rostworowski
(
- Jagiellonian U.
)

- Phys.Rev.Lett. 107 (2011) 031102
•
e-Print:
- 1104.3702
•
DOI:
- 10.1103/PhysRevLett.107.031102

[5]

Scalar field collapse in any dimension

- Phys.Rev.D 65 (2002) 104036
•
e-Print:
- gr-qc/0201026
•
DOI:
- 10.1103/PhysRevD.65.104036

[6]

A Comment on AdS collapse of a scalar field in higher dimensions

Joanna Jalmuzna
(
- Jagiellonian U.
)
,
Andrzej Rostworowski
(
- Jagiellonian U.
)
,
Piotr Bizon
(
- Jagiellonian U.
)

- Phys.Rev.D 84 (2011) 085021
•
e-Print:
- 1108.4539
•
DOI:
- 10.1103/PhysRevD.84.085021

[7]

Time-Periodic Solutions in an Einstein AdS–Massless-Scalar-Field System

- Phys.Rev.Lett. 111 (2013) 051102
•
e-Print:
- 1303.3186
•
DOI:
- 10.1103/PhysRevLett.111.051102

[8]

Globally regular instability of $AdS_3$

Piotr Bizoń
(
- Jagiellonian U. and
- Potsdam, Max Planck Inst.
)
,
Joanna Jałmużna
(
- Jagiellonian U.
)

- Phys.Rev.Lett. 111 (2013) 4, 041102
•
e-Print:
- 1306.0317
•
DOI:
- 10.1103/PhysRevLett.111.041102

[9]

Gravitational collapse in (2+1)-dimensional AdS space-time

- Phys.Rev.D 62 (2000) 124012
•
e-Print:
- gr-qc/0007008
•
DOI:
- 10.1103/PhysRevD.62.124012

[10]

Scalar field collapse in three-dimensional AdS space-time

Viqar Husain
(
- New Brunswick U.
)
,
Michel Olivier
(
- Laval U.
)

- Class.Quant.Grav. 18 (2001) L1-L10
•
e-Print:
- gr-qc/0008060
•
DOI:
- 10.1088/0264-9381/18/2/101

[11]

An Exact solution for 2+1 dimensional critical collapse

David Garfinkle
(
- Oakland U.
)

- Phys.Rev.D 63 (2001) 044007
•
e-Print:
- gr-qc/0008023
•
DOI:
- 10.1103/PhysRevD.63.044007

[12]

Choptuik's critical spacetime exists

Michael Reiterer
(
- Zurich, ETH
)
,
Eugene Trubowitz
(
- Zurich, ETH
)

- Commun.Math.Phys. 368 (2019) 1, 143-186
•
e-Print:
- 1203.3766
•
DOI:
- 10.1007/s00220-019-03413-8

[13]

Perturbations of an exact solution for (2+1)-dimensional critical collapse

David Garfinkle
(
- Oakland U.
)
,
Carsten Gundlach
(
- Southampton U.
)

- Phys.Rev.D 66 (2002) 044015
•
e-Print:
- gr-qc/0205107
•
DOI:
- 10.1103/PhysRevD.66.044015

[14]

Examples of naked singularity formation in the gravitational collapse of a scalar field

Demetrios Christodoulou

- Annals Math. 140 (1994) 607-653
•
DOI:
- 10.2307/2118619

[15]

The dynamics of primordial black hole formation

I. Hawke
(
- Cambridge U., DAMTP
)
,
J.M. Stewart
(
- Cambridge U., DAMTP
)

- Class.Quant.Grav. 19 (2002) 3687-3707
•
DOI:
- 10.1088/0264-9381/19/14/310

[16]

Approximately selfsimilar critical collapse in (2+1)-dimensions

Marco Cavaglia
(
- Mississippi U.
)
,
Gerard Clement
(
- Annecy, LAPTH
)
,
Alessandro Fabbri
(
- Bologna U. and
- INFN, Bologna and
- Paris, Inst. Astrophys.
)

- Phys.Rev.D 70 (2004) 044010
•
e-Print:
- gr-qc/0404033
•
DOI:
- 10.1103/PhysRevD.70.044010

[17]

Abramowitz and Stegun, Handbook of Mathematical Functions, accessed in an online version page 559

- http://people.math.sfu.ca/~cbm/aands

[18]

Charge scaling and universality in critical collapse

- Phys.Rev.D 54 (1996) 7353-7360
•
e-Print:
- gr-qc/9606072
•
DOI:
- 10.1103/PhysRevD.54.7353