Linear stability of Einstein Skyrme black holes - INSPIRE

DataBETA

Linear stability of Einstein Skyrme black holes

M. Heusler
(
- Munich, Max Planck Inst.
)
,
S. Droz
(
- Alberta U.
)
,
N. Straumann
(
- Zurich U.
)

1992

6 pages

Published in:

Phys.Lett.B 285 (1992) 21-26

Published: 1992

DOI:

10.1016/0370-2693(92)91294-J

View in:

reference search89 citations

Citations per year

Abstract: (Elsevier)

We analyze the linear stability of black hole solutions of the Einstein-Skyrme system. These solutions, which we have recently found numerically, provide counter examples to the “no hair” conjecture for black holes of non-linear matter models. We show that there exist only oscillating radial modes (satisfying the necessary boundary conditions at the horizon and at infinity), with the possible exception of a small region of the two-dimensional parameter space of the black hole configurations. Some numerical evidence for non-linear stability is also discussed.

black hole
stability: linear
Skyrme model
Schroedinger equation: solution
effective potential

References(22)

Figures(0)

[1]

New black hole solutions with hair

- Phys.Lett.B 268 (1991) 371-376
•
DOI:
- 10.1016/0370-2693(91)91592-J

[2]

Event horizons in static electrovac space-times

Werner Israel
(
- Dublin Inst.
)

- Commun.Math.Phys. 8 (1968) 245-260
•
DOI:
- 10.1007/BF01645859

[3]

D. Robinson

- Gen.Rel.Grav. 4 (1973) 53

[4]

Uniqueness of the Kerr black hole

D.C. Robinson
(
- King's Coll. London
)

- Phys.Rev.Lett. 34 (1975) 905-906
•
DOI:
- 10.1103/PhysRevLett.34.905

[5]

PROOF OF UNIQUENESS OF THE KERR-NEWMAN BLACK HOLE SOLUTION

P.O. Mazur
(
- Jagiellonian U.
)

- J.Phys.A 15 (1982) 3173-3180,
- J. Phys. A15 ( 1982) 3173-3180
•
DOI:
- 10.1088/0305-4470/15/10/021

[6]

Gravitation in astrophysics (Cargèse, 1986)

B. Carter

[7]

Particle - Like Solutions of the Einstein Yang-Mills Equations

- Phys.Rev.Lett. 61 (1988) 141-144
•
DOI:
- 10.1103/PhysRevLett.61.141

[8]

Spherically symmetric static SU(2) Einstein Yang-Mills fields

H.P. Kuenzle
(
- Alberta U.
)
,
A.K.M. Masood- ul- Alam
(
- Alberta U.
)

- J.Math.Phys. 31 (1990) 928-935
•
DOI:
- 10.1063/1.528773

[9]

M.S. Volkov
,
D.V. Galtsov

- Sov.J.Nucl.Phys. 51 (1990) 1171

[10]

Instability of the Bartnik-mckinnon Solution of the Einstein {Yang-Mills} Equations

Norbert Straumann
(
- Zurich U.
)
,
Zhi-Hong Zhou
(
- Zurich U.
)

- Phys.Lett.B 237 (1990) 353-356
•
DOI:
- 10.1016/0370-2693(90)91188-H

[11]

Instability of a colored black hole solution

N. Straumann
(
- Zurich U.
)
,
Z.H. Zhou
(
- Zurich U.
)

- Phys.Lett.B 243 (1990) 33-35,
- Phys. Lett. B243 (1990) 33-35 and Preprint - Straumann, N. (90,rec.Apr.) 8 p
•
DOI:
- 10.1016/0370-2693(90)90951-2

[12]

Nonlinear perturbations of Einstein Yang-Mills solitons and nonAbelian black holes

Zhi-hong Zhou
(
- Zurich U.
)
,
Norbert Straumann
(
- Zurich U.
)

- Nucl.Phys.B 360 (1991) 180-196
•
DOI:
- 10.1016/0550-3213(91)90439-5

[13]

Instability of SU(2) EYM solitons and non-abelian black holes

Z.-H. Zhou

[14]

Stability of Einstein Yang-Mills black holes

P. Bizon
(
- Vienna U.
)

- Phys.Lett.B 259 (1991) 53-57
•
DOI:
- 10.1016/0370-2693(91)90132-A

[15]

The N=1 colored black hole is unstable

P. Bizon
(
- Vienna U.
)
,
Robert M. Wald
(
- Chicago U., EFI
)

- Phys.Lett.B 267 (1991) 173-174
•
DOI:
- 10.1016/0370-2693(91)91243-O

[16]

Instability of Einstein Yang-Mills black holes

D.V. Galtsov
(
- Lisbon, IFM
)
,
M.S. Volkov
(
- Kazan, FTI
)

- Phys.Lett.A 162 (1992) 144-148
•
DOI:
- 10.1016/0375-9601(92)90990-4

[17]

University of Chicago preprint

R.M. Wald

[18]

BLACK HOLES HAVE SKYRMION HAIR

- Phys.Lett.B 176 (1986) 341-345
•
DOI:
- 10.1016/0370-2693(86)90175-9

[19]

String theory, quantum cosmology and quantum gravity

H.J. de Vega
,
N. Sanchez
,
H. Luckock

[20]

Stability analysis of self-gravitating skyrmions

- Phys.Lett.B 271 (1991) 61-67,
- Phys.Lett.B 271 (1991) 61-67
•
DOI:
- 10.1016/0370-2693(91)91278-4

[21]

Max-Planck Institut für Astrophysik preprint MPA 634, University of Zurich preprint

M. Heusler
,
N. Straumann

[22]

to be published

Z.-H. Zhou
,
N. Straumann