论文标题

BTZ黑洞的地平线内部

Interior of the Horizon of BTZ Black Hole

论文作者

Nakayama, Ryuichi, Shiohara, Kenji

论文摘要

研究了一个非旋转BTZ黑洞的地平线内的量子标量场。不仅获得了地平线内部深处的近马模式,而且还获得了正常模式。结果表明,地平线标量场的正常模式的匹配条件并不能唯一确定地平线内标量场的正常模式扩展。通过选择某种适当的处方来消除这种歧义,可以获得新的标量传播器的积分形式,以在地平线两侧进行点。高维黑洞可能会出现类似的问题。

A quantum scalar field inside the horizon of a non-rotating BTZ black hole is studied. Not only the near-horizon modes but also the normal modes deep inside the horizon are obtained. It is shown that the matching condition for the normal modes of a scalar field at the horizon does not uniquely determine the normal-mode expansion of a scalar field inside the horizon. By choosing a certain appropriate prescription for removing this ambiguity an integral form of a new scalar propagator for points on both sides of the horizon are obtained. A similar problem may arise in higher-dimensional black holes.

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