Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
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DOI：
10.1103/physrevd.108.024035
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发表时间：
2023-04
影响因子：
5
通讯作者：
Z. Tu;Tao Zhu;Anzhong Wang
中科院分区：
文献类型：
--
作者：
Z. Tu;Tao Zhu;Anzhong Wang
本文详细研究了在圈量子引力（LQG）中聚合物黑洞周围粒子的运动。利用有效势分析了临界束缚轨道和最内稳定圆轨道。研究发现，临界束缚轨道的半径和角动量随着表征LQG效应的参数A\lambda$的增大而减小，而ISCO的能量和角动量也随着A\lambda$的增大而减小.基于这些发现，我们使用三个整数组成的有理数探索了LQG中聚合物黑洞的周期轨道。我们的结果表明，有理数增加的粒子的能量和减少的角动量的基础上的分类方案的增加。此外，与Schwarzschild黑洞相比，LQG中聚合物黑洞的周期轨道始终具有较低的能量，这为区分LQG中的聚合物黑洞和Schwarzschild黑洞提供了一种潜在的方法。最后，我们还研究了一个测试对象的周期性轨道的引力波辐射，该测试对象围绕LQG中的超大质量聚合物黑洞运行，产生复杂的GW波形，可以帮助展示系统的引力结构。
This article provides a detailed investigation into the motion of the surrounding particles around a polymer black hole in loop quantum gravity (LQG). Using effective potential, the critical bound orbits and innermost stable circular orbits (ISCO) are analyzed. The study finds that the radii and angular momentum of the critical bound orbits decrease with an increase in the parameter $A_\lambda$ which labels the LQG effects, while the energy and angular momentum of the ISCO also decreases with an increase in $A_\lambda$. Based on these findings, we then explore the periodic orbits of the polymer black hole in LQG using rational numbers composed of three integers. Our results show that the rational numbers increase with the energy of particles and decrease with the increase of angular momentum based on a classification scheme. Moreover, compared to a Schwarzschild black hole, the periodic orbits in a polymer black hole in LQG consistently have lower energy, providing a potential method for distinguishing a polymer black hole in LQG from a Schwarzschild black hole. Finally, we also examine the gravitational wave radiations of the periodic orbits of a test object which orbits a supermassive polymer black hole in LQG, which generates intricate GW waveforms that can aid in exhibiting the gravitational structure of the system.