论文标题
schwarzschild黑洞内部的循环有效型号：修改的$ \barμ$ dynamics
Loop effective model for Schwarzschild black hole interior: a modified $\bar μ$ dynamics
论文作者
论文摘要
在本文中，我们在循环量子重力的背景下介绍了一个新的有效模型，用于kantowski-sachs时空，并使用它来评估Schwarzschild Black Hole内部的一般相对论的出发。该模型基于通过$ \barμ$ -Scheme中的正规化thiemann身份构建的有效哈密顿量。我们表明，与[1]中研究的$μ_o$ -scheme相反，经典限制对thiemann身份的某些改变以及对调节器选择的限制。一旦定义了哈密顿量，我们就会得出相关变量的运动方程，并使用数值方法进行求解，重点是$ \barμ$的特定选择。我们确定，对于Schwarzschild Black Hole内部，有效的动力学导致了经典奇异性的分辨率以及由第二次杀戮地平线界定的反捕获区域的出现。然后，我们对新模型中获得的动力轨迹及其特性进行比较以及文献中存在的一些模型。最终，我们对监管机构的其他选择及其后果进行了很少的评论。
In this article, we introduce a new effective model for the Kantowski-Sachs spacetime in the context of loop quantum gravity, and we use it to evaluate departures from general relativity in the case of Schwarzschild black hole interior. The model is based on an effective Hamiltonian constructed via the regularized Thiemann identities in the $\bar μ$-scheme. We show that, in contrast with the $μ_o$-scheme studied in [1], the classical limit imposes certain alterations of Thiemann identities as well as restrictions on the choice of regulators. Once we define the Hamiltonian, we derive the equations of motion for the relevant variables and proceed with the solving using numerical methods, focusing on a specific choice of $\bar μ$. We establish that for a Schwarzschild black hole interior, the effective dynamics leads to a resolution of the classical singularity and the emergence of an anti-trapped region bounded by a second Killing horizon. We then perform a comparison of the dynamical trajectories and their properties obtained in the new model and some models present in the literature. We finally conclude with few comments on other choices of the regulators and their consequences.
