Pugliese Daniela, Montani Giovanni
Research Centre of Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo Náměstí 13, CZ-74601 Opava, Czech Republic.
ENEA- R.C. Frascati, UTFUS-MAG, Via Enrico Fermi 45, Frascati, 00044 Roma, Italy.
Entropy (Basel). 2020 Mar 31;22(4):402. doi: 10.3390/e22040402.
This work participates in the research for potential areas of observational evidence of quantum effects on geometry in a black hole astrophysical context. We consider properties of a family of loop quantum corrected regular black hole (BHs) solutions and their horizons, focusing on the geometry symmetries. We study here a recently developed model, where the geometry is determined by a metric quantum modification outside the horizon. This is a regular static spherical solution of mini-super-space BH metric with Loop Quantum Gravity (LQG) corrections. The solutions are characterized delineating certain polymeric functions on the basis of the properties of the horizons and the emergence of a singularity in the limiting case of the Schwarzschild geometry. We discuss particular metric solutions on the base of the parameters of the polymeric model related to similar properties of structures, the metric Killing bundles (or metric bundles MBs), related to the BH horizons' properties. A comparison with the Reissner-Norström geometry and the Kerr geometry with which analogies exist from the point of their respective MBs properties is done. The analysis provides a way to recognize these geometries and detect their main distinctive phenomenological evidence of LQG origin on the basis of the detection of stationary/static observers and the properties of light-like orbits within the analysis of the (conformal invariant) MBs related to the (local) causal structure. This approach could be applied in other quantum corrected BH solutions, constraining the characteristics of the underlining LQG-graph, as the minimal loop area, through the analysis of the null-like orbits and photons detection. The study of light surfaces associated with a diversified and wide range of BH phenomenology and grounding MBs definition provides a channel to search for possible astrophysical evidence. The main BHs thermodynamic characteristics are studied as luminosity, surface gravity, and temperature. Ultimately, the application of this method to this spherically symmetric approximate solution provides us with a way to clarify some formal aspects of MBs, in the presence of static, spherical symmetric spacetimes.
这项工作参与了在黑洞天体物理背景下对量子效应在几何方面的潜在观测证据领域的研究。我们考虑了一族圈量子修正的正则黑洞（BHs）解及其视界的性质，重点关注几何对称性。我们在此研究一个最近发展的模型，其中几何由视界外的度规量子修正确定。这是一个具有圈量子引力（LQG）修正的迷你超空间BH度规的正则静态球对称解。这些解的特征是根据视界的性质以及在史瓦西几何极限情况下奇点的出现来描绘某些聚合物函数。我们基于与结构的类似性质相关的聚合物模型参数、与BH视界性质相关的度规Killing丛（或度规丛MBs）来讨论特定的度规解。将其与雷斯纳 - 诺德斯特龙几何和克尔几何进行了比较，从它们各自的MBs性质存在相似性。该分析提供了一种方法，基于对静止/静态观察者的检测以及在与（局部）因果结构相关的（共形不变）MBs分析中类光轨道的性质，来识别这些几何并检测它们源自LQG的主要独特现象学证据。这种方法可应用于其他量子修正的BH解，通过对类空轨道和光子检测的分析来约束基础LQG - 图的特征，如最小圈面积。对与多样化且广泛的BH现象学相关的光面以及基础MBs定义的研究提供了一个寻找可能天体物理证据的途径。研究了主要的BH热力学特征，如光度、表面引力和温度。最终，将此方法应用于这个球对称近似解为我们提供了一种在存在静态、球对称时空的情况下阐明MBs一些形式方面的方法。
