论文标题

通过旋转的黑洞在环量子重力中旋转的黑洞对大颗粒的有限距离重力偏转

Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity

论文作者

Huang, Yang, Cao, Zhoujian

论文摘要

最近使用修订后的Newman-Janis算法基于非旋转对应物,梵天,陈和Yeom构建了一个旋转的黑洞。对于这种时空,我们研究了巨大颗粒的弱重力偏转,以探索量子校正的观察力效应。本文的目的是双重的。首先,对于Gibbons-Werner(GW)方法,一种几何方法计算弯曲空间中粒子的挠度角度,我们完善其计算并获得简化的公式。其次,通过使用GW方法和我们的新公式,我们可以解决有限距离弱挠度的弱偏转角度,用于在brahma $ et \ al的环量子重力中旋转黑洞的旋转黑洞。此外,在太阳系中获得了量子参数的观察性约束。

A rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman-Janis algorithm recently. For such spacetime, we investigate the weak gravitational deflection of massive particles to explore observational effects of the quantum correction. The purpose of this article is twofold. First, for Gibbons-Werner (GW) method, a geometric approach computing the deflection angle of particles in curved spacetimes, we refine its calculation and obtain a simplified formula. Second, by using GW method and our new formula, we work out the finite-distance weak deflection angle of massive particles for the rotating black hole in loop quantum gravity obtained by Brahma $et\ al.$ An analysis to our result reveals the repulsive effect of the quantum correction to particles. What's more, an observational constraint on the quantum parameter is obtained in solar system.

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