Instability of an "Approximate Black Hole"

Details Instability of an "Approximate Black Hole" Instability of an "Approximate Black Hole"

1997-01-07

arxiv.org/abs/gr-qc/9701011v1

Phys.Rev.D55:6014-6018,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, REVTeX 3.0, 6 figures included

Scientific paper

10.1103/PhysRevD.55.6014

We investigate the stability of a family of spherically symmetric static solutions in vacuum Brans-Dicke theory (with $\omega=0$) recently described by van Putten. Using linear perturbation theory, we find one exponentially growing mode for every member of the family of solutions, and thus conclude that the solutions are not stable. Using a previously constructed code for spherically symmetric Brans-Dicke, additional evidence for instability is provided by directly evolving the static solutions with perturbations. The full non-linear evolutions also suggest that the solutions are black-hole-threshold critical solutions.

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