Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime - INSPIRE

DataBETA

Classes of Stable Initial Data for Massless and Massive Scalars in Anti-de Sitter Spacetime

Nils Deppe
(
- Cornell U., Phys. Dept.
)
,
Andrew R. Frey
(
- Winnipeg U.
)

Aug 11, 2015

32 pages

Published in:

JHEP 12 (2015) 004

Published: Dec 1, 2015

e-Print:

1508.02709 [hep-th]

DOI:

10.1007/JHEP12(2015)004

View in:

reference search29 citations

Citations per year

Abstract: (arXiv)

Since horizon formation in global anti-de Sitter spacetime is dual to thermalization of a conformal field theory on a compact space, whether generic initial data is stable or unstable against gravitational collapse is of great interest. We argue that all the known stable initial data for massless scalars are dominated by single scalar eigenmodes, specifically providing strong numerical evidence consistent with the interpretation that initial data with equal energies in two modes collapse on time scales of order the inverse square of the amplitude. We further scan the parameter space for massive scalar field initial data and present evidence for a novel class of stable or quasi-stable solutions for massive scalars with energy spread through several eigenmodes.

Note:

31 pages v2. minor clarifications and updates to numerical results 31 pages v3. minor changes to match version published in JHEP

AdS-CFT Correspondence
Black Holes
Classical Theories of Gravity
Holography and quark-gluon plasmas
boundary condition: stability
space-time: anti-de Sitter
field theory: scalar
field theory: conformal
gravitation: collapse
AdS(4)

References(36)

Figures(36)

[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]

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

[3]

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

[4]

On Field Theory Thermalization from Gravitational Collapse

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

- JHEP 02 (2012) 119
•
e-Print:
- 1110.5823
•
DOI:
- 10.1007/JHEP02(2012)119

[5]

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

[6]

Stability of AdS in Einstein Gauss Bonnet Gravity

- Phys.Rev.Lett. 114 (2015) 071102
•
e-Print:
- 1410.1869
•
DOI:
- 10.1103/PhysRevLett.114.071102

[7]

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

[8]

Three-dimensional Gravity and Instability of AdS $_{3}$

Joanna Jałmużna
(
- Jagiellonian U. (main)
)

- Acta Phys.Polon.B 44 (2013) 12, 2603-2620
•
e-Print:
- 1311.7409
•
DOI:
- 10.5506/APhysPolB.44.2603

[9]

Holographic Thermalization, Stability of Anti–de Sitter Space, and the Fermi-Pasta-Ulam Paradox

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

- Phys.Rev.Lett. 113 (2014) 7, 071601
•
e-Print:
- 1403.6471
•
DOI:
- 10.1103/PhysRevLett.113.071601

[10]

Comment on “Holographic Thermalization, Stability of Anti–de Sitter Space, and the Fermi-Pasta-Ulam Paradox”

- Phys.Rev.Lett. 115 (2015) 4, 049101
•
e-Print:
- 1410.2631
•
DOI:
- 10.1103/PhysRevLett.115.049101

[11]

Reply to Comment on “Holographic Thermalization, Stability of Anti–de Sitter Space, and the Fermi-Pasta-Ulam Paradox”

- Phys.Rev.Lett. 115 (2015) 4, 049102
•
e-Print:
- 1506.07907
•
DOI:
- 10.1103/PhysRevLett.115.049102

[12]

Renormalization group, secular term resummation and AdS (in)stability

Ben Craps
(
)
,
Oleg Evnin
(
- Chulalongkorn U.
)
,
Joris Vanhoof
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)

- JHEP 10 (2014) 048
•
e-Print:
- 1407.6273
•
DOI:
- 10.1007/JHEP10(2014)048

[13]

Renormalization, averaging, conservation laws and AdS (in)stability

Ben Craps
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)
,
Oleg Evnin
(
)
,
Joris Vanhoof
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)

- JHEP 01 (2015) 108
•
e-Print:
- 1412.3249
•
DOI:
- 10.1007/JHEP01(2015)108

[14]

Conserved quantities and dual turbulent cascades in anti–de Sitter spacetime

- Phys.Rev.D 91 (2015) 6, 064026
•
e-Print:
- 1412.4761
•
DOI:
- 10.1103/PhysRevD.91.064026

[15]

Universality of non-equilibrium dynamics of CFTs from holography

e-Print:
- 1410.5381

[16]

Position space analysis of the AdS (in)stability problem

Fotios V. Dimitrakopoulos
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)
,
Ben Freivogel
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)
,
Matthew Lippert
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)
,
I-Sheng Yang
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)

- JHEP 08 (2015) 077
•
e-Print:
- 1410.1880
•
DOI:
- 10.1007/JHEP08(2015)077

[17]

Conditionally extended validity of perturbation theory: Persistence of AdS stability islands

Fotios Dimitrakopoulos
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)
,
I-Sheng Yang
(
- Amsterdam U. and
- U. Amsterdam, GRAPPA
)

- Phys.Rev.D 92 (2015) 8, 083013
•
e-Print:
- 1507.02684
•
DOI:
- 10.1103/PhysRevD.92.083013

[18]

Resonant Dynamics and the Instability of Anti–de Sitter Spacetime

- Phys.Rev.Lett. 115 (2015) 8, 081103
•
e-Print:
- 1506.03519
•
DOI:
- 10.1103/PhysRevLett.115.081103

[19]

Ultraviolet asymptotics and singular dynamics of AdS perturbations

Ben Craps
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)
,
Oleg Evnin
(
)
,
Joris Vanhoof
(
- Intl. Solvay Inst., Brussels and
- Vrije U., Brussels
)

- JHEP 10 (2015) 079
•
e-Print:
- 1508.04943
•
DOI:
- 10.1007/JHEP10(2015)079

[20]

Boson stars in AdS spacetime

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

- Phys.Rev.D 87 (2013) 12, 123006
•
e-Print:
- 1304.4166
•
DOI:
- 10.1103/PhysRevD.87.123006

[21]

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

[22]

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

[23]

A comment on "Boson stars in AdS"

e-Print:
- 1307.2875

[24]

Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime

- Int.J.Mod.Phys.A 28 (2013) 1340020
•
e-Print:
- 1308.1235
•
DOI:
- 10.1142/S0217751X13400204

[25]

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

1-25 of 36
1
2
25 / page