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A consistent model of non-singular Schwarzschild black hole in loop quantum gravity and its quasinormal modes
Journal of Cosmology and Astroparticle Physics ( IF 6.4 ) Pub Date : 2020-07-31 , DOI: 10.1088/1475-7516/2020/07/066
Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

We investigate the interior structure, perturbations, and the associated quasinormal modes of a quantum black hole model recently proposed by Bodendorfer, Mele, and Munch (BMM). Within the framework of loop quantum gravity, the quantum parameters in the BMM model are introduced through polymerization, consequently replacing the Schwarzschild singularity with a spacelike transition surface. By treating the quantum geometry corrections as an `effective' matter contribution, we first prove the violation of energy conditions (in particular the null energy condition) near the transition surface and then investigate the required junction conditions on it. In addition, we study the quasinormal modes of massless scalar field perturbations, electromagnetic perturbations, and axial gravitational perturbations in this effective model. As expected, the quasinormal spectra deviate from their classical counterparts in the presence of quantum corrections. Interestingly, we find that the quasinormal frequencies of perturbations with different spins share the same qualitative tendency with respect to the change of the quantum parameters in this model.

中文翻译:

环量子引力中非奇异史瓦西黑洞的一致性模型及其准正规模式

我们研究了 Bodendorfer、Mele 和 Munch (BMM) 最近提出的量子黑洞模型的内部结构、扰动和相关的准正规模式。在环量子引力的框架内,BMM模型中的量子参数通过聚合引入,从而用类空间过渡表面代替施瓦西奇点。通过将量子几何校正视为“有效”物质贡献,我们首先证明了过渡表面附近的能量条件(特别是零能量条件)的违反,然后研究了其上所需的结条件。此外,我们在这个有效模型中研究了无质量标量场扰动、电磁扰动和轴向重力扰动的准正规模式。正如预期的那样,在存在量子校正的情况下,准正规光谱偏离了它们的经典光谱。有趣的是,我们发现具有不同自旋的扰动的准正规频率对于该模型中的量子参数变化具有相同的定性趋势。
更新日期:2020-07-31
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