标题： 带有标量场吸积的演化黑洞 显示英文标题

标题： Evolving black hole with scalar field accretion

摘要： 我们获得了在存在一个最小耦合的自相互作用标量场的情况下，动态球对称黑洞靠近捕获视界的爱因斯坦方程的近似解析解。 这是通过一种新的度规参数化实现的，在这种参数化中，从视界处的位移以及其膨胀率都明确地体现出来。 我们的结果在视界附近有效，并适用于任何标量场势和时空渐进行为。 还得到了一个关于吸积率的精确方程，该方程推广了标准的Bondi公式。 我们还发展了一种动力系统方法来研究近平衡黑洞；使用这个形式化方法，我们专注于一个简单模型，以表明近平衡动力学由动力学变量之间的尺度关系所表征。 此外，我们证明了具有纯向内能量-动量通量的解永远不会达到平衡。 显示英文摘要

摘要： We obtain approximate analytical solutions of the Einstein equations close to the trapping horizon for a dynamical spherically symmetric black hole in the presence of a minimally coupled self-interacting scalar field. This is made possible by a new parametrization of the metric, in which the displacement from the horizon as well as its expansion rate feature explicitly. Our results are valid in a neighbourhood of the horizon and hold for any scalar field potential and spacetime asymptotics. An exact equation for the accretion rate is also obtained, which generalizes the standard Bondi formula. We also develop a dynamical system approach to study near-equilibrium black holes; using this formalism, we focus on a simple model to show that the near-equilibrium dynamics is characterised by scaling relations among dynamical variables. Moreover, we show that solutions with purely ingoing energy-momentum flux never reach equilibrium.