Poisson Eric
Department of Physics, University of Guelph, Guelph, Ontario, Canada N1G 2W1.
Phys Rev Lett. 2005 Apr 29;94(16):161103. doi: 10.1103/PhysRevLett.94.161103.
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.
在一个穿透事件视界且具有清晰几何意义的光锥坐标系中，给出了一个潮汐扭曲、不旋转黑洞的度规。该度规表示为(r/R<<1)的幂级数展开，其中(r)是到黑洞距离的度量，(R)是外部时空的局部曲率半径；假定这比黑洞质量(M)大得多。度规计算到((r/R)^4)阶的余项，它取决于一族表征黑洞局部环境的潮汐引力场。该坐标系便于识别事件视界，并推导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的表达式。
