We consider the four-dimensional Einstein-Klein-Gordon-AdS system with conformal mass subject to the Robin boundary conditions at infinity. Above a critical value of the Robin parameter, at which the AdS spacetime goes linearly unstable, we prove existence of a family of globally regular static solutions (that we call AdS Robin solitons) and discuss their properties.

中文翻译：

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AdS Robin孤子及其稳定性

我们考虑具有共形质量的四维 Einstein-Klein-Gordon-AdS 系统，该系统受无限远的 Robin 边界条件约束。在 Robin 参数的临界值之上，即 AdS 时空变得线性不稳定，我们证明了一系列全局规则静态解（我们称之为 AdS Robin 孤子）的存在并讨论它们的性质。