真裸黑洞的聚焦与散焦特性
Focusing versus defocusing properties of truly naked black holes
摘要：
我们研究了零测地线在所谓的真正裸视界（TNH）附近传播的同余的性质-物体具有有限的Kretschmann标量，但具有发散的潮汐加速度自由落体观察员。在非极值情况下，出射光线在未来视界附近的扩展总是趋于消失，但在扭曲（超）极值情况下可能不为零。如果在外面的视界附近满足零能量条件（NEC），则对于进入的那些，它往往会发散。然而，它也倾向于零NEC违反情况下，除了远程地平线。我们还讨论了测试粒子近似对TNHs的有效性，并找到了逆反应保持小的充分条件。
英文摘要：
We study the properties of the congruence of null geodesics propagating near the so-called truly naked horizons (TNH) - objects having finite Kretschmann scalar but with diverging tidal acceleration for freely falling observers. The expansion of outgoing rays near the future horizon always tends to vanish for the non-extremal case but may be non-zero for the distorted (ultra)extremal one. It tends to diverge for the ingoing ones if the the null energy condition (NEC) is satisfied in the vicinity of the horizon outside. However, it also tends to zero for NEC violating cases except the remote horizons. We also discuss the validity of test particle approximation for TNHs and find the sufficient condition for backreaction remaining small.
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