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arXiv 2407.01673gr-qcquant-ph
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旋转黑洞视界之外的奇异激发

Singular excitement beyond the horizon of a rotating black hole

Sijia Wang, María Rosa Preciado-Rivas, Massimiliano Spadafora, Robert B. Mann

AI总结:

本文研究UDW探测器自由落入旋转BTZ黑洞时的跃迁率,数值计算表明视界附近存在奇异激发,推广了非旋转情形,并揭示事件视界在量子场论效应下可被局部探针区分。

摘要:

先前的研究表明,当Unruh-DeWitt(UDW)探测器与无质量标量场线性耦合,并允许其径向落入某些黑洞时,其跃迁性质在视界附近会表现出非单调性。具体而言,考虑Unruh和Hartle-Hawking真空态时,自由落入(3+1)维Schwarzschild黑洞的探测器的跃迁概率在视界穿越处具有局部极值[K.K. Ng等人,New J. Phys. 24 (2022) 103018]。对于Hartle-Hawking态,在特定参数设置下,落入静态(2+1)维Bañados-Teitelboim-Zanelli(BTZ)黑洞的探测器的跃迁率也被发现在视界附近具有多个局部极值[M.R. Preciado-Rivas等人,arXiv:2402.14908v1]。这些发现具有重要意义,因为它们表明当包含量子场论(QFT)效应时,黑洞的事件视界可能对局部探针是可区分的。在本文中,我们探讨了UDW探测器自由落入旋转BTZ黑洞的问题。我们数值计算了探测器在不同黑洞质量、黑洞角动量、探测器能隙以及无穷远处场边界条件下的跃迁率。我们的结果对BTZ黑洞时空中的粒子探测器行为给出了更广义的描述,在角动量趋于零的极限下,可以恢复先前非旋转BTZ情况的结果。

英文摘要:

Previous studies have shown that an Unruh-DeWitt (UDW) detector, when coupled linearly to a massless scalar field and permitted to fall radially into certain black holes, will exhibit non-monotonicity in its transition properties near the horizon. Specifically, the transition probability of a detector freely falling into a (3+1)-dimensional Schawrzschild black hole, when considering the Unruh and Hartle-Hawking vacuum states, was shown to possess a local extremum at horizon crossing [K.K. Ng et al., New J. Phys. 24 (2022) 103018]. The transition rate of a detector falling into a static (2+1)-dimensional Bañados-Teitelboim-Zanelli (BTZ) black hole, for the Hartle-Hawking state, was also found to have multiple local extrema near the horizon under certain parameter settings [M.R. Preciado-Rivas et al., arXiv:2402.14908v1]. These discoveries are of interest, as they suggest that the event horizon of a black hole may be distinguishable to a local probe when QFT effects are included. In this paper, we explore the problem of a UDW detector falling freely into a rotating BTZ black hole. We numerically compute the detector's transition rate for different values of black hole mass, black hole angular momentum, detector energy gap, and field boundary conditions at infinity. Our results lead to a more generalized description of the behaviour of particle detectors in BTZ black hole spacetime, from which the previous non-rotating BTZ case can be retrieved in the limit as angular momentum vanishes.

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