Scalar field collapse with negative cosmological constant

Baier, R.; Nishimura, H.; Stricker, S.A.

doi:10.1088/0264-9381/32/13/135021

Scalar field collapse with negative cosmological constant

Oct 13, 2014

16 pages

Published in:

Class.Quant.Grav. 32 (2015) 13, 135021

Published: Jun 12, 2015

e-Print:

1410.3495 [gr-qc]

DOI:

10.1088/0264-9381/32/13/135021

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Abstract: (IOP)

The formation of black holes or naked singularities is studied in a model in which a homogeneous time-dependent scalar field with an exponential potential couples to four-dimensional gravity with negative cosmological constant. An analytic solution is derived and its consequences are discussed. The model depends only on one free parameter, which determines the equation of state and decides the fate of the spacetime. Without fine tuning the value of this parameter the collapse ends in a generic formation of a black hole or a naked singularity. The latter case violates the cosmic censorship conjecture.

Note:

16 pages, 6 figures, v2: minor modifications, references added •
16 pages, 6 figures, v3: final version to be published in Class. Quantum Grav

scalar field collapse
black holes
naked singularity
cosmological constant: negative
field theory: scalar
cosmic censorship: violation
black hole: formation
dimension: 4
singularity: formation
collapse

References(54)

Figures(12)

[1]

Gravitational collapse: The role of general relativity

R. Penrose
(
- Birkbeck Coll.
)

- Riv.Nuovo Cim. 1 (1969) 252-276,
- Gen.Rel.Grav. 34 (2002) 1141-1165
•
DOI:
- 10.1023/A:1016578408204

[2]

Generic cosmic censorship violation in anti-de Sitter space

- Phys.Rev.Lett. 92 (2004) 131101
•
e-Print:
- gr-qc/0307102
•
DOI:
- 10.1103/PhysRevLett.92.131101

[3]

Negative energy in string theory and cosmic censorship violation

- Phys.Rev.D 69 (2004) 105001
•
e-Print:
- hep-th/0310054
•
DOI:
- 10.1103/PhysRevD.69.105001

[4]

Update on cosmic censorship violation in AdS

T. Hertog
,
G.T. Horowitz
,
K. Maeda

[5]

Comments on cosmic censorship in AdS / CFT

Veronika E. Hubeny
(
- Stanford U., Phys. Dept.
)
,
Xiao Liu
(
- Stanford U., Phys. Dept. and
- SLAC
)
,
Mukund Rangamani
(
- UC, Berkeley and
- LBL, Berkeley
)
,
Stephen Shenker
(
- Stanford U., Phys. Dept.
)

- JHEP 12 (2004) 067
•
e-Print:
- hep-th/0403198
•
DOI:
- 10.1088/1126-6708/2004/12/067

[6]

Cosmic censorship in AdS/CFT

M. Rangamani

[7]

A Note on naked singularities and the collapse of selfgravitating Higgs fields

Mihalis Dafermos

- Adv.Theor.Math.Phys. 9 (2005) 4, 575-591
•
e-Print:
- gr-qc/0403033
•
DOI:
- 10.4310/ATMP.2005.v9.n4.a3

[8]

Global aspects in gravitation and cosmology

P.S. Joshi

[9]

Gravitational collapse, black holes and naked singularities

T.P. Singh
(
- Tata Inst.
)

- J.Astrophys.Astron. 20 (1999) 221
•
e-Print:
- gr-qc/9805066
•
DOI:
- 10.1007/BF02702354

[10]

Key problems in black hole physics today

Pankaj S. Joshi
(
- Tata Inst.
)

- Bull.Astron.Soc.India 39 (2011) 49
•
e-Print:
- 1104.3741

[11]

Recent developments in gravitational collapse and spacetime singularities

Pankaj S. Joshi
(
- Tata Inst.
)
,
Daniele Malafarina
(
- Tata Inst.
)

- Int.J.Mod.Phys.D 20 (2011) 2641-2729
•
e-Print:
- 1201.3660
•
DOI:
- 10.1142/S0218271811020792

[12]

Do naked singularities break the rules of physics?

P.S. Joshi

[13]

Critical phenomena in gravitational collapse

Carsten Gundlach
(
- Chicago U., EFI and
- Southampton U.
)

- Living Rev.Rel. 2 (1999) 4
•
e-Print:
- gr-qc/0001046

[14]

Gravitational Collapse and Spacetime Singularities

P.S. Joshi

[15]

Spherical gravitational collapse in N-dimensions

Rituparno Goswami
(
- Tata Inst.
)
,
Pankaj S Joshi
(
- Tata Inst.
)

- Phys.Rev.D 76 (2007) 084026
•
e-Print:
- gr-qc/0608136
•
DOI:
- 10.1103/PhysRevD.76.084026

[16]

Gravitational collapse of a self-interacting scalar field

R. Goswami
(
- Tata Inst.
)
,
P.S. Joshi
(
- Tata Inst.
)

- Mod.Phys.Lett.A 22 (2007) 65-74
•
DOI:
- 10.1142/S0217732307020701

[17]

On trapped surface formation in gravitational collapse. II.

Pankaj S. Joshi
(
- Tata Inst.
)
,
Rituparno Goswami
(
- Alberta U. and
- Tata Inst.
)

- Class.Quant.Grav. 24 (2007) 2917-2928
•
e-Print:
- 0711.0426
•
DOI:
- 10.1088/0264-9381/24/11/009

[18]

Exact solution for scalar field collapse

- Phys.Rev.D 50 (1994) 3783-3786
•
e-Print:
- gr-qc/9402021
•
DOI:
- 10.1103/PhysRevD.50.3783

[19]

Gravitational dust collapse with cosmological constant

Mahdy Cissoko
(
- Paris U. VI, GRECO
)
,
Julio C. Fabris
(
- Espirito Santo U.
)
,
Jerome Gariel
(
- Paris U. VI, GRECO
)
,
Gerard Le Denmat
(
- Paris U. VI, GRECO
)
,
Nilton O. Santos
(
- Paris U. VI, GRECO and
- Santa Maria, Lab. Astrofisica Radioastronomia
)

e-Print:
- gr-qc/9809057

[20]

Gravitational collapse and cosmological constant

- Phys.Rev.D 63 (2001) 124005
•
e-Print:
- gr-qc/0010027
•
DOI:
- 10.1103/PhysRevD.63.124005

[21]

Gravitational collapse in asymptotically anti-de Sitter/de Sitter backgrounds

T.Arun Madhav
(
- Birla Inst. Tech. Sci.
)
,
Rituparno Goswami
(
- Tata Inst.
)
,
Pankaj S. Joshi
(
- Tata Inst.
)

- Phys.Rev.D 72 (2005) 084029
•
e-Print:
- gr-qc/0502081
•
DOI:
- 10.1103/PhysRevD.72.084029

[22]

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

[23]

Holographic Dilepton Production in a Thermalizing Plasma

Rudolf Baier
(
- Bielefeld U.
)
,
Stefan A. Stricker
(
- Vienna, Tech. U.
)
,
Olli Taanila
(
- Bielefeld U.
)
,
Aleksi Vuorinen
(
- Bielefeld U.
)

- JHEP 07 (2012) 094
•
e-Print:
- 1205.2998
•
DOI:
- 10.1007/JHEP07(2012)094

[24]

Holographic Thermalization at Intermediate Coupling

Dominik Steineder
(
- Vienna, Tech. U.
)
,
Stefan A. Stricker
(
- Vienna, Tech. U.
)
,
Aleksi Vuorinen
(
- Bielefeld U.
)

- Phys.Rev.Lett. 110 (2013) 10, 101601
•
e-Print:
- 1209.0291
•
DOI:
- 10.1103/PhysRevLett.110.101601

[25]

Critical scalar field collapse in AdS $_{3}$ : an analytical approach

- Class.Quant.Grav. 31 (2014) 025007
•
e-Print:
- 1309.1629
•
DOI:
- 10.1088/0264-9381/31/2/025007

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