标题： “近似黑洞”的不稳定性 显示英文标题

标题： Instability of an "Approximate Black Hole"

摘要： 我们研究了真空布兰斯-迪克理论（带有$\omega=0$）中最近由范普滕描述的一族球对称静态解的稳定性。 使用线性扰动理论，我们发现该解族中的每一个解都存在一个指数增长模式，因此得出结论，这些解是不稳定的。 使用之前构建的球对称布兰斯-迪克代码，通过直接演化带有扰动的静态解，提供了不稳定性的进一步证据。 完整的非线性演化也表明这些解是黑洞阈值临界解。 显示英文摘要

摘要： 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.