标题： 潮汐变形的非旋转黑洞的度量 显示英文标题

标题： Metric of a tidally distorted, nonrotating black hole

摘要： 一个潮汐变形的非旋转黑洞的度规在一种穿透事件视界的光锥坐标系中被提出，并具有明确的几何意义。 该度规表示为r/R << 1的幂级数展开，其中r是距离黑洞的距离度量，R是外部时空的局部曲率半径；假设R远大于黑洞的质量M。 该度规计算到(r/R)^4阶的余项，其依赖于一组描述黑洞局部环境的潮汐引力场。 该坐标系使得事件视界的识别变得容易，并推导出了其表面引力以及潮汐相互作用向黑洞传递质量和角动量的速率。 显示英文摘要

摘要： The metric of a tidally distorted, nonrotating black hole is presented in a light-cone coordinate system that penetrates the event horizon and possesses a clear geometrical meaning. The metric is expressed as an expansion in powers of r/R << 1, where r is a measure of distance from the black hole and R is the local radius of curvature of the external spacetime; this is assumed to be much larger than M, the mass of the black hole. The metric is calculated up to a remainder of order (r/R)^4, and it depends on a family of tidal gravitational fields which characterize the hole's local environment. The coordinate system allows an easy identification of the event horizon, and expressions are derived for its surface gravity and the rates at which the tidal interaction transfers mass and angular momentum to the black hole.