论文标题
关于$ \ MATHCAL {f}（r，\ MATHCAL {g}）的热波动和量子规律性，在非线性电动力学中具有恒定拓扑欧拉密度的重力黑洞
On thermal fluctuations and quantum regularities of $\mathcal{F}(R,\mathcal{G})$ gravity black holes with constant topological Euler density in nonlinear electrodynamics
论文作者
论文摘要
我们讨论了在$ \ Mathcal {f}（r，r，\ Mathcal {g}）$ - 重力以及Born -Infeld和Born -Infeld（例如非线性电动动力学）中，讨论了拓扑静态球形对称解的校正的热力学和裸奇异性结构。鉴于各种热力学变量，分析了具有恒定拓扑欧拉密度的黑洞的溶液。将对数校正包含在熵上是扩展到其他热力学变量的，并且在各个图上显示校正变量的贡献。还研究了黑洞在热变量效果下的稳定性。作为这项研究的第二个范围，用骨气和费米子量子波包进行了探测，否则，探测了定时裸的奇异性的解决方案，以查看奇异性在机械上是否是量子的。在这种情况下，如果相应的空间哈密顿操作员本质上是自我伴侣，那么这些探针的演变仍然明确。我们的计算表明，当用涉及自旋的特定波模式探测奇点 - $ 0 $和自旋 - $ 1/2 $量子波包时，相应的波浪运算符本质上是自我相关的，这又意味着独特定义明确的时间演变。
We discuss the corrected thermodynamics and naked singularity structure of the topological static spherically symmetric solution in $\mathcal{F}(R,\mathcal{G})$ - gravity coupled with Born-Infeld - like nonlinear electrodynamics. Solutions admitting black holes with constant topological Euler density is analyzed in view of various thermodynamical variables. The inclusion of logarithmic correction to the entropy is extended to the other thermodynamical variables and the contribution of corrected variables are displayed on various plots. The stability of black hole under the effect of thermal variables is also studied. As a second scope of this study, solutions admitting timelike naked singularity are probed with bosonic and fermionic quantum wave packets to see if the singularity is quantum mechanically regular or not. In this context, the evolution of these probes remains well-defined if the corresponding spatial Hamiltonian operator is essentially self-adjoint. Our calculations reveal that when the singularity is probed with specific wave modes involving spin - $0$ and spin - $1/2$ quantum wave packets, the corresponding wave operators turn out to be essentially self-adjoint, which in turn implies unique well-defined time evolution.
