Details
| Original language | English |
|---|---|
| Pages (from-to) | 741-764 |
| Number of pages | 24 |
| Journal | International Journal of Modern Physics A |
| Volume | 13 |
| Issue number | 5 |
| Publication status | Published - 20 Feb 1998 |
Abstract
We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying scalar field and a triple-well interaction potential; the other one is completely analytic and sprouts Coulomb-like scalar hair. Both evade the no-hair theorem by having partially negative potential, in conflict with the dominant energy condition. The linear perturbation theory around such backgrounds is developed in general, and yields stability criteria in terms of effective potentials for an analog Schrödinger problem. We can test for more than half of the perturbation modes, and our solutions prove to be stable against those.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Journal of Modern Physics A, Vol. 13, No. 5, 20.02.1998, p. 741-764.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Scalar deformations of Schwarzschild holes and their stability
AU - Dennhardt, Helge
AU - Lechtenfeld, Olaf
N1 - Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1998/2/20
Y1 - 1998/2/20
N2 - We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying scalar field and a triple-well interaction potential; the other one is completely analytic and sprouts Coulomb-like scalar hair. Both evade the no-hair theorem by having partially negative potential, in conflict with the dominant energy condition. The linear perturbation theory around such backgrounds is developed in general, and yields stability criteria in terms of effective potentials for an analog Schrödinger problem. We can test for more than half of the perturbation modes, and our solutions prove to be stable against those.
AB - We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying scalar field and a triple-well interaction potential; the other one is completely analytic and sprouts Coulomb-like scalar hair. Both evade the no-hair theorem by having partially negative potential, in conflict with the dominant energy condition. The linear perturbation theory around such backgrounds is developed in general, and yields stability criteria in terms of effective potentials for an analog Schrödinger problem. We can test for more than half of the perturbation modes, and our solutions prove to be stable against those.
UR - http://www.scopus.com/inward/record.url?scp=0007168626&partnerID=8YFLogxK
U2 - 10.1142/S0217751X98000329
DO - 10.1142/S0217751X98000329
M3 - Article
AN - SCOPUS:0007168626
VL - 13
SP - 741
EP - 764
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 5
ER -