Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-09-12
Class.Quant.Grav. 22 (2005) 2331-2358
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 8 figures, submitted to "Classical and Quantum Gravity"
Scientific paper
10.1088/0264-9381/22/12/003
This is the first of series of papers in which we investigate stability of the spherically symmetric space-time with de Sitter center. Geometry, asymptotically Schwarzschild for large $r$ and asymptotically de Sitter as $r\to 0$, describes a vacuum nonsingular black hole for $m\geq m_{cr}$ and particle-like self-gravitating structure for $m < m_{cr}$ where a critical value $m_{cr}$ depends on the scale of the symmetry restoration to de Sitter group in the origin. In this paper we address the question of stability of a vacuum non-singular black hole with de Sitter center to external perturbations. We specify first two types of geometries with and without changes of topology. Then we derive the general equations for an arbitrary density profile and show that in the whole range of the mass parameter $m$ objects described by geometries with de Sitter center remain stable under axial perturbations. In the case of the polar perturbations we find criteria of stability and study in detail the case of the density profile $\rho(r)=\rho_0 e^{-r^3/r_0^2 r_g}$ where $\rho_0$ is the density of de Sitter vacuum at the center, $r_0$ is de Sitter radius and $r_g$ is the Schwarzschild radius.
Dymnikova Irina
Galaktionov Evgeny
No associations
LandOfFree
Stability of a vacuum nonsingular black hole does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of a vacuum nonsingular black hole, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of a vacuum nonsingular black hole will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-301218