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arXiv 0904.3441gr-qc
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哥德尔黑洞、闭合类时视界和粒子发射研究

Gödel black hole, closed timelike horizon, and the study of particle emissions

Sourav Bhattacharya, Anirban Saha

摘要:

我们证明了一个具有正轨道角动量的粒子,沿着一条出射的零/类时测地线,永远不会到达$(4+1)$维旋转哥德尔黑洞时空中的闭合类时视界。因此,这个时空的很大一部分仍然无法进入一大类测地线观测者,这取决于与他们相关的守恒量。我们讨论了这一事实和存在的封闭的类时曲线存在于渐近区域的量子场论研究的霍金辐射,渐近观测状态是一个先决条件,不清楚。然而,半经典的方法提供了一个替代验证Smarr公式最近得出的旋转哥德尔黑洞。我们提出了一个系统的分析粒子的排放量,特别是标量,带电狄拉克旋量和矢量,从这个黑洞通过半经典复杂的路径方法。

英文摘要:

We show that a particle, with positive orbital angular momentum, following an outgoing null/timelike geodesic, shall never reach the closed timelike horizon (CTH) present in the $(4+1)$-dimensional rotating Gödel black hole space-time. Therefore a large part of this space-time remains inaccessible to a large class of geodesic observers, depending on the conserved quantities associated with them. We discuss how this fact and the existence of the closed timelike curves present in the asymptotic region make the quantum field theoretic study of the Hawking radiation, where the asymptotic observer states are a pre-requisite, unclear. However, the semiclassical approach provides an alternative to verify the Smarr formula derived recently for the rotating Gödel black hole. We present a systematic analysis of particle emissions, specifically for scalars, charged Dirac spinors and vectors, from this black hole via the semiclassical complex path method.

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