Instability of an "approximate black hole"

Matthew W. Choptuik, Eric W. Hirschmann, Steven L. Liebling
1997 Physical Review D, Particles and fields  
We investigate the stability of a family of spherically symmetric static solutions in vacuum Brans-Dicke theory (with ω=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
more » ... rturbations. The full non-linear evolutions also suggest that the solutions are black-hole-threshold critical solutions.
doi:10.1103/physrevd.55.6014 fatcat:fyyztbilkvgalo7tzkuqc3jtbi