论文标题
通过量子度量波动引起的改性重力的黑洞溶液
Black hole solutions in modified gravity induced by quantum metric fluctuations
论文作者
论文摘要
将度量的量子波动包括在几何作用中是理解重力量子特性的有希望的途径。在这种方法中，度量是按量子来源的经典和波动部分的总和分解的，量子起源的总和可以用任意的二阶张量来表示，该量子是根据度量标准和描述物质领域的热力学数量构建的。在本文中，我们通过假设量子校正张量是通过标量场与度量张量的偶联来提出量子波动对修饰场方程的球形对称静态黑洞溶液的影响。在以无量纲形式重新构造场方程并通过引入合适的独立径向坐标后，我们以数字获得其解决方案。我们从公制张量组件中的奇异性中检测到黑洞的形成。考虑了几种对应于标量场电势的不同功能形式的模型。还研究了黑洞溶液的热力学特性（视鹰发光度而引起的黑洞温度，特定的热量，熵和蒸发时间）。
The inclusion of the quantum fluctuations of the metric in the geometric action is a promising avenue for the understanding of the quantum properties of gravity. In this approach the metric is decomposed in the sum of a classical and of a fluctuating part, of quantum origin, which can be generally expressed in terms of an arbitrary second order tensor, constructed from the metric, and from the thermodynamic quantities describing matter fields. In the present paper we investigate the effects of the quantum fluctuations on the spherically symmetric static black hole solutions of the modified field equations, obtained from a variational principle, by assuming that the quantum correction tensor is given by the coupling of a scalar field to the metric tensor. After reformulating the field equations in a dimensionless form, and by introducing a suitable independent radial coordinate, we obtain their solutions numerically. We detect the formation of a black hole from the presence of a singularity in the metric tensor components. Several models, corresponding to different functional forms of the scalar field potential, are considered. The thermodynamic properties of the black hole solutions (horizon temperature, specific heat, entropy and evaporation time due to Hawking luminosity) are also investigated.
