Boson stars in AdS spacetime

We construct boson stars in global anti–de Sitter (AdS) space and study their stability. Linear perturbation results suggest that the ground state along with the first three excited state boson stars are stable. We evolve some of these solutions and study their nonlinear stability in light of recent work , arguing that a weakly turbulent instability drives scalar perturbations of AdS to black hole formation. However, evolutions suggest that boson stars are nonlinearly stable and immune to the instability for sufficiently small perturbation. Furthermore, these studies find other families of initial data which similarly avoid the instability for sufficiently weak parameters. Heuristically, we argue that initial data families with widely distributed mass energy distort the spacetime sufficiently to oppose the coherent amplification favored by the instability. From the dual CFT perspective our findings suggest that there exist families of rather generic initial conditions in strongly coupled CFT (with large number of degrees of freedom) that do not thermalize in the infinite future.

Note:

32 pages, 12 figures; Updated with a few more references and typos fixed

11.10.Kk
04.20.-q
97.60.Lf
boson: star
field theory: conformal
stability: nonlinear
space: anti-de Sitter
boson: excited state
perturbation: scalar
perturbation: linear

References(25)

Figures(17)

[1]

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

[2]

Large N field theories, string theory and gravity

Ofer Aharony
(
- Rutgers U., Piscataway
)
,
Steven S. Gubser
(
- Harvard U.
)
,
Juan Martin Maldacena
(
- Princeton, Inst. Advanced Study and
- Harvard U.
)
,
Hirosi Ooguri
(
- LBL, Berkeley and
- UC, Berkeley
)
,
Yaron Oz
(
- CERN
)

- Phys.Rept. 323 (2000) 183-386
•
e-Print:
- hep-th/9905111
•
DOI:
- 10.1016/S0370-1573(99)00083-6

[3]

Singularities in asymptotically anti-de Sitter spacetimes

- Phys.Rev.D 86 (2012) 104012
•
e-Print:
- 1208.1563
•
DOI:
- 10.1103/PhysRevD.86.104012

[4]

Well-posedness for the massive wave equation on asymptotically anti-de Sitter spacetimes

Gustav Holzegel
(
- Princeton U., Math. Dept.
)

- J.Hyperbol.Diff.Equat. 9 (2012) 02, 239-261
•
e-Print:
- 1103.0710
•
DOI:
- 10.1142/S0219891612500087

[5]

Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system

- Commun.Math.Phys. 317 (2013) 205-251
•
e-Print:
- 1103.3672
•
DOI:
- 10.1007/s00220-012-1572-2

[6]

Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes

- J.Funct.Anal. 266 (2014) 4, 2436-2485
•
e-Print:
- 1209.3308
•
DOI:
- 10.1016/j.jfa.2013.10.019

[7]

Quasimodes and a lower bound on the uniform energy decay rate for Kerr–AdS spacetimes

- Anal.Part.Diff.Eq. 7 (2014) 5, 1057-1090
•
e-Print:
- 1303.5944
•
DOI:
- 10.2140/apde.2014.7.1057

[8]

On the Nonlinear Stability of Asymptotically Anti-de Sitter Solutions

Oscar J.C. Dias
(
- Saclay, SPhT
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Don Marolf
(
- UC, Santa Barbara
)
,
Jorge E. Santos
(
- UC, Santa Barbara
)

- Class.Quant.Grav. 29 (2012) 235019
•
e-Print:
- 1208.5772
•
DOI:
- 10.1088/0264-9381/29/23/235019

[9]

Gravitational Turbulent Instability of Anti-de Sitter Space

Oscar J.C. Dias
(
- Cambridge U., DAMTP and
- Saclay, SPhT
)
,
Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Jorge E. Santos
(
- UC, Santa Barbara
)

- Class.Quant.Grav. 29 (2012) 194002
•
e-Print:
- 1109.1825
•
DOI:
- 10.1088/0264-9381/29/19/194002

[10]

Holography and colliding gravitational shock waves in asymptotically AdS $_{5}$ spacetime

Paul M. Chesler
(
- MIT
)
,
Laurence G. Yaffe
(
- Washington U., Seattle
)

- Phys.Rev.Lett. 106 (2011) 021601
•
e-Print:
- 1011.3562
•
DOI:
- 10.1103/PhysRevLett.106.021601

[11]

Rapid Thermalization in Field Theory from Gravitational Collapse

David Garfinkle
(
- Oakland U. and
- Michigan U., MCTP
)
,
Leopoldo A. Pando Zayas
(
- Michigan U., MCTP
)

- Phys.Rev.D 84 (2011) 066006
•
e-Print:
- 1106.2339
•
DOI:
- 10.1103/PhysRevD.84.066006

[12]

Simulation of Asymptotically AdS5 Spacetimes with a Generalized Harmonic Evolution Scheme

- Phys.Rev.D 85 (2012) 084038
•
e-Print:
- 1201.2132
•
DOI:
- 10.1103/PhysRevD.85.084038

[13]

Scalar Collapse in AdS

Alex Buchel
(
- Perimeter Inst. Theor. Phys. and
- Western Ontario U.
)
,
Luis Lehner
(
- Perimeter Inst. Theor. Phys. and
- Guelph U.
)
,
Steven L. Liebling
(
- Perimeter Inst. Theor. Phys. and
- Long Island U.
)

- Phys.Rev.D 86 (2012) 123011
•
e-Print:
- 1210.0890
•
DOI:
- 10.1103/PhysRevD.86.123011

[14]

Jet quenching in a strongly coupled anisotropic plasma

Mariano Chernicoff
(
)
,
Daniel Fernandez
(
- Barcelona U. and
- ICC, Barcelona U.
)
,
David Mateos
(
)
,
Diego Trancanelli
(
- Wisconsin U., Madison and
- Sao Paulo U.
)

- JHEP 08 (2012) 041
•
e-Print:
- 1203.0561
•
DOI:
- 10.1007/JHEP08(2012)041

[15]

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

[16]

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

[17]

Exploring AdS/CFT Dualities in Dynamical Settings, Perimeter Institute, June 5th 2012

S.L. Liebling

- http://pirsa.org/12060023

[18]

Boson stars with negative cosmological constant

Dumitru Astefanesei
(
- McGill U.
)
,
Eugen Radu
(
- Freiburg U.
)

- Nucl.Phys.B 665 (2003) 594-622
•
e-Print:
- gr-qc/0309131
•
DOI:
- 10.1016/S0550-3213(03)00482-6

[19]

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

[20]

Dynamical boson stars

- Living Rev.Rel. 26 (2023) 1, 1,
- Living Rev.Rel. 15 (2012) 6 (reprint),
- Living Rev.Rel. 20 (2017) 1, 5 (reprint)
•
e-Print:
- 1202.5809
•
DOI:
- 10.1007/s41114-023-00043-4