Stationary resonances of rapidly-rotating Kerr black holes - INSPIRE

DataBETA

Stationary resonances of rapidly-rotating Kerr black holes

Shahar Hod
(
- Ruppin Acad. Ctr. and
- Hadassah Coll., Jerusalem
)

Apr 9, 2013

6 pages

Published in:

Eur.Phys.J.C 73 (2013) 4, 2378

Published: Apr 9, 2013

e-Print:

1311.5298 [gr-qc]

DOI:

10.1140/epjc/s10052-013-2378-x

View in:

ADS Abstract Service

reference search134 citations

Citations per year

Abstract: (arXiv)

The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field in the black-hole spacetime. The analytically derived formula is shown to agree with direct numerical computations of the resonances. Our results provide an upper bound on the instability regime of rapidly-rotating Kerr black holes to massive scalar perturbations.

Note:

6 pages

black hole: Kerr
space-time: black hole
perturbation: scalar
numerical calculations
Klein-Gordon equation
background
stability
symmetry: rotation
scalar particle: massive

References(109)

Figures(0)

[1]

Introducing the black hole

Remo Ruffini
(
- Princeton U.
)
,
John A. Wheeler
(
- Princeton U.
)

- Phys.Today 24 (1971) 1, 30
•
DOI:
- 10.1063/1.3022513

[2]

in Black Holes, Proceedings of 1972 Session of Ecole dete de Physique Theorique, C. De Witt and B. S. De Witt (eds.) New York, 1973)

B. Carter

[3]

NEEDS VERSUS MEANS IN HIGH-ENERGY PHYSICS

W.K.H. Panofsky
(
- SLAC
)

- Phys.Today 33 (1980) 24-33
•
DOI:
- 10.1063/1.2914115

[4]

Black holes have no short hair

- Phys.Rev.Lett. 76 (1996) 571-574
•
e-Print:
- gr-qc/9601020
•
DOI:
- 10.1103/PhysRevLett.76.571

[5]

Hairy Black Holes and Null Circular Geodesics

Shahar Hod
(
- Ruppin Acad. Ctr. and
- Hadassah Coll., Jerusalem
)

- Phys.Rev.D 84 (2011) 124030
•
e-Print:
- 1112.3286
•
DOI:
- 10.1103/PhysRevD.84.124030

[6]

Event horizons in static scalar-vacuum space-times

J.E. Chase

- Commun.Math.Phys. 19 (1970) 4, 276-288
•
DOI:
- 10.1007/BF01646635

[6]

Transcendence of the law of baryon-number conservation in black hole physics

J.D. Bekenstein
(
- Princeton U.
)

- Phys.Rev.Lett. 28 (1972) 452-455
•
DOI:
- 10.1103/PhysRevLett.28.452

[6]

Nonmeasurability of the baryon number of a black-hole

C. Teitelboim
(
- Princeton U.
)

- Lett.Nuovo Cim. 3S2 (1972) 326-328,
- Lett.Nuovo Cim. 3 (1972) 326-328
•
DOI:
- 10.1007/BF02756471

[6]

Do collapsed boson stars result in new types of black holes?

I. Pena
(
- Mexico U., ICN
)
,
D. Sudarsky
(
- Mexico U., ICN
)

- Class.Quant.Grav. 14 (1997) 3131-3134
•
DOI:
- 10.1088/0264-9381/14/11/013

[7]

Nonexistence of baryon number for static black holes

Jacob D. Bekenstein
(
- Princeton U.
)

- Phys.Rev.D 5 (1972) 1239-1246
•
DOI:
- 10.1103/PhysRevD.5.1239

[7]

Nonexistence of baryon number for black holes. ii

J.D. Bekenstein
(
- Princeton U.
)

- Phys.Rev.D 5 (1972) 2403-2412
•
DOI:
- 10.1103/PhysRevD.5.2403

[7]

A No hair theorem for selfgravitating nonlinear sigma models

M. Heusler
(
- Munich, Max Planck Inst.
)

- J.Math.Phys. 33 (1992) 3497-3502
•
DOI:
- 10.1063/1.529899

[7]

A Simple proof of a no hair theorem in Einstein Higgs theory,

D. Sudarsky
(
- Mexico U. and
- Santo Domingo, Autonoma U.
)

- Class.Quant.Grav. 12 (1995) 579-584
•
DOI:
- 10.1088/0264-9381/12/2/023

[8]

Long-range neutrino forces exerted by kerr black holes

J.B. Hartle
(
- UC, Santa Barbara
)

- Phys.Rev.D 3 (1971) 2938-2940
•
DOI:
- 10.1103/PhysRevD.3.2938

[8]

Nonmeasurability of the lepton number of a black hole

C. Teitelboim
(
- Princeton U.
)

- Lett.Nuovo Cim. 3S2 (1972) 397-400,
- Lett.Nuovo Cim. 3 (1972) 397-400
•
DOI:
- 10.1007/BF02826050

[9]

TOPICAL REVIEW: Quasinormal modes: the characteristic `sound' of black holes and neutron stars

Hans-Peter Nollert
(
- Tubingen U.
)

- Class.Quant.Grav. 16 (1999) R159-R216
•
DOI:
- 10.1088/0264-9381/16/12/201

[10]

Quasinormal modes of black holes and black branes

Emanuele Berti
(
- Caltech and
- Mississippi U.
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Mississippi U.
)
,
Andrei O. Starinets
(
- Oxford U.
)

- Class.Quant.Grav. 26 (2009) 163001
•
e-Print:
- 0905.2975
•
DOI:
- 10.1088/0264-9381/26/16/163001

[11]

An Analytic representation for the quasi normal modes of Kerr black holes

E.W. Leaver
(
- Utah U.
)

- Proc.Roy.Soc.Lond.A 402 (1985) 285-298
•
DOI:
- 10.1098/rspa.1985.0119

[11]

Stability of charged rotating black holes in the eikonal approximation

Bahram Mashhoon
(
- Cologne U.
)

- Phys.Rev.D 31 (1985) 2, 290-293
•
DOI:
- 10.1103/PhysRevD.31.290

[11]

Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts

Hans-Peter Nollert
(
- Tubingen U., IAAT
)

- Phys.Rev.D 47 (1993) 5253-5258
•
DOI:
- 10.1103/PhysRevD.47.5253

[11]

Bohr's correspondence principle and the area spectrum of quantum black holes

Shahar Hod
(
- Hebrew U.
)

- Phys.Rev.Lett. 81 (1998) 4293
•
e-Print:
- gr-qc/9812002
•
DOI:
- 10.1103/PhysRevLett.81.4293

[11]

Quasinormal modes of AdS black holes and the approach to thermal equilibrium

- Phys.Rev.D 62 (2000) 024027
•
e-Print:
- hep-th/9909056
•
DOI:
- 10.1103/PhysRevD.62.024027

[11]

Late time dynamics of rapidly rotating black holes

Kostas Glampedakis
(
- Cardiff U.
)
,
Nils Andersson
(
- Southampton U.
)

- Phys.Rev.D 64 (2001) 104021
•
e-Print:
- gr-qc/0103054
•
DOI:
- 10.1103/PhysRevD.64.104021

[11]

Analytic study of rotating black-hole quasinormal modes

- Phys.Rev.D 76 (2007) 061501
•
e-Print:
- 0705.1179
•
DOI:
- 10.1103/PhysRevD.76.061501

[11]

Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing

Shahar Hod
(
- Ruppin Acad. Ctr. and
- Hadassah Coll., Jerusalem
)

- Phys.Rev.D 75 (2007) 064013
•
e-Print:
- gr-qc/0611004
•
DOI:
- 10.1103/PhysRevD.75.064013

1-25 of 109
1
2
3
4
5
25 / page