Massive charged Dirac fields around Reissner-Nordström black holes: Quasibound states and long-lived modes - INSPIRE

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Massive charged Dirac fields around Reissner-Nordström black holes: Quasibound states and long-lived modes

Yang Huang
(
- Shanghai United Ctr. Astrophys. and
- Shanghai Teachers U.
)
,
Dao-Jun Liu
(
- Shanghai United Ctr. Astrophys. and
- Shanghai Normal U.
)
,
Xiang-hua Zhai
(
- Shanghai United Ctr. Astrophys. and
- Shanghai Normal U.
)
,
Xin-zhou Li
(
- Shanghai United Ctr. Astrophys. and
- Shanghai Normal U.
)

Aug 15, 2017

9 pages

Published in:

Phys.Rev.D 96 (2017) 6, 065002

Published: Sep 11, 2017

e-Print:

1708.04761 [gr-qc]

DOI:

10.1103/PhysRevD.96.065002

View in:

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Abstract: (APS)

The behavior of a massive charged test Dirac field in the background of a Reissner-Nordström black hole is investigated. Especially, we obtain the frequencies of quasibound states by solving the Dirac equation numerically both in time and frequency domain. Our results suggest that although the absence of superradiance excludes the existence of stationary solutions for massive Dirac fields, it is still possible to find arbitrarily long-lived solutions.

Note:

9 pages, 5 figures, accepted for publication in PRD

field theory: Dirac
black hole: Reissner-Nordstroem
long-lived
Dirac equation
superradiance
background
numerical calculations

References(61)

Figures(13)

[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]

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

[3]

Are black holes a serious threat to scalar field dark matter models?

Juan Barranco
(
- UNAM, Inst. Astron.
)
,
Argelia Bernal
(
- Mexico U., ICN
)
,
Juan Carlos Degollado
(
- UNAM, Inst. Astron.
)
,
Alberto Diez-Tejedor
(
- Mexico U., ICN
)
,
Miguel Megevand
(
- Mexico U., ICN
)

et al.

- Phys.Rev.D 84 (2011) 083008
•
e-Print:
- 1108.0931
•
DOI:
- 10.1103/PhysRevD.84.083008

[4]

Schwarzschild black holes can wear scalar wigs

Juan Barranco
(
- Guanajuato U.
)
,
Argelia Bernal
(
- Mexico U., CEN
)
,
Juan Carlos Degollado
(
- Mexico U., ICN
)
,
Alberto Diez-Tejedor
(
- Guanajuato U.
)
,
Miguel Megevand
(
- Mexico U., CEN
)

et al.

- Phys.Rev.Lett. 109 (2012) 081102
•
e-Print:
- 1207.2153
•
DOI:
- 10.1103/PhysRevLett.109.081102

[5]

Dirac dynamical resonance states around Schwarzschild black holes

- Phys.Rev.D 89 (2014) 4, 043006
•
e-Print:
- 1308.2863
•
DOI:
- 10.1103/PhysRevD.89.043006

[6]

Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass

Richard Brito
(
- Lisbon, IST
)
,
Vitor Cardoso
(
- Mississippi U. and
- Perimeter Inst. Theor. Phys. and
- Lisbon, IST
)
,
Paolo Pani
(
- Harvard-Smithsonian Ctr. Astrophys. and
- Lisbon, IST
)

- Phys.Rev.D 88 (2013) 2, 023514
•
e-Print:
- 1304.6725
•
DOI:
- 10.1103/PhysRevD.88.023514

[7]

Massive vector fields on the Schwarzschild spacetime: quasi-normal modes and bound states

Joao G. Rosa
(
- Edinburgh U.
)
,
Sam R. Dolan
(
- Southampton U.
)

- Phys.Rev.D 85 (2012) 044043
•
e-Print:
- 1110.4494
•
DOI:
- 10.1103/PhysRevD.85.044043

[8]

Bound states of the Dirac equation on Kerr spacetime

Sam R Dolan
(
- Sheffield U.
)
,
David Dempsey
(
- Sheffield U.
)

- Class.Quant.Grav. 32 (2015) 18, 184001
•
e-Print:
- 1504.03190
•
DOI:
- 10.1088/0264-9381/32/18/184001

[9]

On Quantum Resonances in Stationary Geometries

T. Damour
(
- Princeton U.
)
,
N. Deruelle
(
- Cambridge U.
)
,
R. Ruffini
(
- Princeton, Inst. Advanced Study and
- Western Australia U.
)

- Lett.Nuovo Cim. 15 (1976) 257-262
•
DOI:
- 10.1007/BF02725534

[10]

INSTABILITIES OF MASSIVE SCALAR PERTURBATIONS OF A ROTATING BLACK HOLE

T.J.M. Zouros
(
- Yale U.
)
,
D.M. Eardley
(
- Yale U.
)

- Annals Phys. 118 (1979) 139-155
•
DOI:
- 10.1016/0003-4916(79)90237-9

[11]

Instability of massive scalar fields in Kerr-Newman space-time

Hironobu Furuhashi
(
- Nagoya U.
)
,
Yasusada Nambu
(
- Nagoya U.
)

- Prog.Theor.Phys. 112 (2004) 983-995
•
e-Print:
- gr-qc/0402037
•
DOI:
- 10.1143/PTP.112.983

[12]

The Black hole bomb and superradiant instabilities

Vitor Cardoso
(
- Coimbra U.
)
,
Oscar J.C. Dias
(
- Algarve U., CENTRA
)
,
Jose P.S. Lemos
(
- Lisbon, CENTRA and
- Lisbon, IST
)
,
Shijun Yoshida
(
- Lisbon, CENTRA and
- Lisbon, IST
)

- Phys.Rev.D 70 (2004) 044039,
- Phys.Rev.D 70 (2004) 049903 (erratum)
•
e-Print:
- hep-th/0404096
•
DOI:
- 10.1103/PhysRevD.70.049903

[13]

Instability of the massive Klein-Gordon field on the Kerr spacetime

Sam R. Dolan
(
- University Coll., Dublin
)

- Phys.Rev.D 76 (2007) 084001
•
e-Print:
- 0705.2880
•
DOI:
- 10.1103/PhysRevD.76.084001

[14]

Superradiant instabilities of rotating black holes in the time domain

Sam R. Dolan
(
- Sheffield U.
)

- Phys.Rev.D 87 (2013) 12, 124026
•
e-Print:
- 1212.1477
•
DOI:
- 10.1103/PhysRevD.87.124026

[15]

KLEIN-GORDON EQUATION AND ROTATING BLACK HOLES

Steven L. Detweiler
(
- Yale U.
)

- Phys.Rev.D 22 (1980) 2323-2326
•
DOI:
- 10.1103/PhysRevD.22.2323

[16]

Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric

Paolo Pani
(
- Lisbon, CENTRA
)
,
Vitor Cardoso
(
- Mississippi U. and
- Lisbon, CENTRA
)
,
Leonardo Gualtieri
(
- Rome U.
)
,
Emanuele Berti
(
- Caltech and
- Mississippi U.
)
,
Akihiro Ishibashi
(
- Kinki U., Osaka and
- KEK, Tsukuba
)

- Phys.Rev.D 86 (2012) 104017
•
e-Print:
- 1209.0773
•
DOI:
- 10.1103/PhysRevD.86.104017

[17]

Bound states and decay times of fermions in a Schwarzschild black hole background

- Phys.Rev.D 72 (2005) 105014
•
e-Print:
- gr-qc/0209090
•
DOI:
- 10.1103/PhysRevD.72.105014

[18]

Superradiant instability of $D$ -dimensional Reissner–Nordström-anti-de Sitter black hole mirror system

- Int.J.Mod.Phys.D 26 (2017) 13, 1750141
•
e-Print:
- 1606.00100
•
DOI:
- 10.1142/S0218271817501413

[19]

Scalar clouds around Kerr–Sen black holes

- Class.Quant.Grav. 34 (2017) 15, 155002
•
e-Print:
- 1706.04441
•
DOI:
- 10.1088/1361-6382/aa7964

[20]

Can environmental effects spoil precision gravitational-wave astrophysics?

Enrico Barausse
(
- Paris, Inst. Astrophys. and
- Paris U., IV
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Perimeter Inst. Theor. Phys.
)
,
Paolo Pani
(
- Lisbon, CENTRA and
- Harvard-Smithsonian Ctr. Astrophys. and
- MIT
)

- Phys.Rev.D 89 (2014) 10, 104059
•
e-Print:
- 1404.7149
•
DOI:
- 10.1103/PhysRevD.89.104059

[21]

Environmental Effects for Gravitational-wave Astrophysics

Enrico Barausse
(
- Paris, Inst. Astrophys. and
- UPMC, Paris (main)
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Perimeter Inst. Theor. Phys.
)
,
Paolo Pani
(
- Lisbon, CENTRA and
- Rome U.
)

- J.Phys.Conf.Ser. 610 (2015) 1, 012044
•
e-Print:
- 1404.7140
•
DOI:
- 10.1088/1742-6596/610/1/012044

[22]

Wiggly tails: a gravitational wave signature of massive fields around black holes

Juan Carlos Degollado
(
- Aveiro U. and
- Guadalajara U.
)
,
Carlos A. R. Herdeiro
(
- Aveiro U.
)

- Phys.Rev.D 90 (2014) 6, 065019
•
e-Print:
- 1408.2589
•
DOI:
- 10.1103/PhysRevD.90.065019

[23]

Stationary resonances of rapidly-rotating Kerr black holes

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

- Eur.Phys.J.C 73 (2013) 4, 2378
•
e-Print:
- 1311.5298
•
DOI:
- 10.1140/epjc/s10052-013-2378-x

[23]

Stationary resonances of rapidly-rotating Kerr black holes

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

- Eur.Phys.J.C 73 (2013) 4, 2378
•
e-Print:
- 1311.5298
•
DOI:
- 10.1140/epjc/s10052-013-2378-x

[24]

Stationary Scalar Clouds Around Rotating Black Holes

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

- Phys.Rev.D 86 (2012) 104026,
- Phys.Rev.D 86 (2012) 129902 (erratum)
•
e-Print:
- 1211.3202
•
DOI:
- 10.1103/PhysRevD.86.129902

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