Observational tests of a quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the Galactic Center
Observational tests of a quantum extension of Schwarzschild spacetime in loop quantum gravity with stars in the Galactic Center
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DOI：
10.1103/physrevd.107.084043
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发表时间：
2023-02
影响因子：
5
通讯作者：
Jian-Ming Yan;Chengzhou Liu;Tao Zhu;Qiang Wu;Anzhong Wang
中科院分区：
文献类型：
--
作者：
Jian-Ming Yan;Chengzhou Liu;Tao Zhu;Qiang Wu;Anzhong Wang
本文利用17颗绕SgrA*运行的恒星的公开观测数据，检验了Schwarzschild时空在圈量子引力(LQG)中的量子延展。为此，我们将量子扩展Schwarzschild黑洞中质量粒子的测地线演化转化为微扰开普勒问题，并计算了LQG对恒星近心推进的影响。有了这些效应，人们就能够将它们与公开可用的银河系中心恒星的天体测量和光谱数据进行比较。我们用蒙特卡罗马尔科夫链方法模拟了S星轨道上可能存在的LQG效应。没有发现来自LQG的量子扩展Schwarzschild黑洞的重要证据。在17颗S星的后验分析中，S2的结果给出了LQG参数$A_\λ$的最强上界，它给出了$A_\λ$的上界，置信度为$A_\λ$为$A_\λ<；0.302。
In this paper, we use the publicly available observational data of 17 stellar stars orbiting Sgr A* to test the quantum extension of Schwarzschild spacetime in loop quantum gravity (LQG). For our purpose, we transform the geodesical evolution of a massive particle in the quantum-extended Schwarzschild black hole to the perturbed Kepler problem and calculate the effects of LQG on the pericentre advance of the stellar stars. With these effects, one is able to compare them with the publicly available astrometric and spectroscopic data of stellar stars in the galactic center. We perform Monte Carlo Markov Chain (MCMC) simulations to probe the possible LQG effects on the orbit of S-stars. No significant evidence of the quantum-extended Schwarzschild black hole from LQG is found. Among the posterior analyses of 17 S-stars, the result of S2 gives the strongest bound on the LQG parameter $A_\lambda$, which places an upper bound at 95\% confidence level on $A_\lambda$ to be $A_\lambda<0.302$.