Quasinormal spectrum and quantization of charged black holes - INSPIRE

DataBETA

Quasinormal spectrum and quantization of charged black holes

Shahar Hod
(
- Hebrew U. and
- Ruppin Acad. Ctr.
)

Nov, 2005

4 pages

Published in:

Class.Quant.Grav. 23 (2006) L23-L28

e-Print:

gr-qc/0511047 [gr-qc]

DOI:

10.1088/0264-9381/23/4/L01

View in:

reference search49 citations

Citations per year

Abstract: (arXiv)

Black-hole quasinormal modes have been the subject of much recent attention, with the hope that these oscillation frequencies may shed some light on the elusive theory of quantum gravity. We study {\it analytically} the asymptotic quasinormal spectrum of a {\it charged} scalar field in the (charged) Reissner-Nordstrom spacetime. We find an analytic expression for these black-hole resonances in terms of the black-hole physical parameters: its Bekenstein-Hawking temperature

T_{BH}

, and its electric potential

\Phi

. We discuss the applicability of the results in the context of black-hole quantization. In particular, we show that according to Bohr's correspondence principle, the asymptotic resonance corresponds to a fundamental area unit

\Delta A=4\hbar\ln2

.

04.70.Dy
03.65.Bz

References(24)

Figures(0)

Black holes and entropy

Jacob D. Bekenstein
(
- Princeton U. and
- Texas U.
)

- Phys.Rev.D 7 (1973) 2333-2346
•
DOI:
- 10.1103/PhysRevD.7.2333

The quantum mass spectrum of the Kerr black hole

J. D. Bekenstein

- Lett.Nuovo Cim. 11 (1974) 467
•
DOI:
- 10.1007/BF02762768

High-order corrections to the entropy and area of quantum black holes

Shahar Hod
(
- Hebrew U.
)

- Class.Quant.Grav. 21 (2004) L97-L100
•
e-Print:
- hep-th/0405235
•
DOI:
- 10.1088/0264-9381/21/14/L01

ARE BLACK HOLES QUANTIZED?

Viatcheslav F. Mukhanov
(
- Moscow, INR
)

- JETP Lett. 44 (1986) 63-66,
- Pisma Zh.Eksp.Teor.Fiz. 44 (1986) 50-53,
- Pisma Zh. Eksp. Teor. Fiz. 44 ( 1986) 50-53

Spectroscopy of the quantum black hole

Jacob D. Bekenstein
(
- Hebrew U.
)
,
Viatcheslav F. Mukhanov
(
- Zurich, ETH
)

- Phys.Lett.B 360 (1995) 7-12
•
e-Print:
- gr-qc/9505012
•
DOI:
- 10.1016/0370-2693(95)01148-J

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

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

Long Wave Trains of Gravitational Waves from a Vibrating Black Hole

William H. Press
(
- Caltech
)

- Astrophys.J.Lett. 170 (1971) L105-L108
•
DOI:
- 10.1086/180849

Gravitational collapse with asymmetries

- Phys.Rev.Lett. 24 (1970) 423-426
•
DOI:
- 10.1103/PhysRevLett.24.423

Scattering of Gravitational Radiation by a Schwarzschild Black-hole

C.V. Vishveshwara
(
- New York U.
)

- Nature 227 (1970) 936-938
•
DOI:
- 10.1038/227936a0

Gravitational radiation from a particle falling radially into a schwarzschild black hole

- Phys.Rev.Lett. 27 (1971) 1466-1469
•
DOI:
- 10.1103/PhysRevLett.27.1466

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

The Resonances of a Schwarzschild black hole. (In French)

A. Bachelot
(
- Bordeaux U.
)
,
A. Motet-Bachelot
(
- Bordeaux U.
)

- Ann.Inst.H.Poincare Phys.Theor. 59 (1993) 3-68,
- Ann. IHP Phys. Theor. 59 (1993) 3-68

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

- Class.Quant.Grav. 10 L61

An Analytical computation of asymptotic Schwarzschild quasinormal frequencies

Lubos Motl
(
- Harvard U., Phys. Dept.
)

- Adv.Theor.Math.Phys. 6 (2003) 1135-1162
•
e-Print:
- gr-qc/0212096
•
DOI:
- 10.4310/ATMP.2002.v6.n6.a3

Quasinormal modes, the area spectrum, and black hole entropy

Olaf Dreyer
(
- Perimeter Inst. Theor. Phys.
)

- Phys.Rev.Lett. 90 (2003) 081301
•
e-Print:
- gr-qc/0211076
•
DOI:
- 10.1103/PhysRevLett.90.081301

Quantum geometry and black hole entropy

A. Ashtekar
(
- Penn State U.
)
,
J. Baez
(
- UC, Riverside
)
,
A. Corichi
(
- Penn State U. and
- Mexico U., ICN
)
,
Kirill Krasnov
(
- Penn State U.
)

- Phys.Rev.Lett. 80 (1998) 904-907
•
e-Print:
- gr-qc/9710007
•
DOI:
- 10.1103/PhysRevLett.80.904

Loop quantum gravity and quanta of space: A Primer

Carlo Rovelli
(
- Pittsburgh U.
)
,
Peush Upadhya
(
- Pittsburgh U.
)

e-Print:
- gr-qc/9806079

Intermediate asymptotics of the Kerr quasinormal spectrum

Shahar Hod
(
- Hebrew U.
)
,
Uri Keshet
(
- Weizmann Inst.
)

- Class.Quant.Grav. 22 (2005) L71-L76
•
e-Print:
- gr-qc/0505112
•
DOI:
- 10.1088/0264-9381/22/14/L01

On the classification of asymptotic quasinormal frequencies for d-dimensional black holes and quantum gravity

Jose Natario
(
- Lisbon, IST
)
,
Ricardo Schiappa
(
- Lisbon, IST and
- Catolica Portuguesa U., Lisbon
)

- Adv.Theor.Math.Phys. 8 (2004) 6, 1001-1131
•
e-Print:
- hep-th/0411267
•
DOI:
- 10.4310/ATMP.2004.v8.n6.a4

Asymptotic quasinormal frequencies for black holes in nonasymptotically flat space-times

Vitor Cardoso
(
- Coimbra U.
)
,
Jose Natario
(
- Lisbon, IST
)
,
Ricardo Schiappa
(
- Lisbon, IST and
- Catolica Portuguesa U., Lisbon
)

- J.Math.Phys. 45 (2004) 4698-4713
•
e-Print:
- hep-th/0403132
•
DOI:
- 10.1063/1.1812828

Late time evolution of charged gravitational collapse and decay of charged scalar hair. 1.

Shahar Hod
(
- Hebrew U.
)
,
Tsvi Piran
(
- Hebrew U.
)

- Phys.Rev.D 58 (1998) 024017
•
e-Print:
- gr-qc/9712041
•
DOI:
- 10.1103/PhysRevD.58.024017

Asymptotic black hole quasinormal frequencies

- Adv.Theor.Math.Phys. 7 (2003) 2, 307-330
•
e-Print:
- hep-th/0301173
•
DOI:
- 10.4310/ATMP.2003.v7.n2.a4