论文标题
新Schwarzschild黑洞的热波动演变
Thermal Fluctuations Evolution of the New Schwarzschild Black Hole
论文作者
论文摘要
我们研究了新的Schwarzschild黑洞的热力学分析和对数校正。我们计算热力学数量，例如熵，鹰温度和热容量。黑洞的区域永远不会减小，因为它们由于高重力而吸收了周围环境中的所有东西。在这方面，需要纠正Bekenstein提出的面积 - 融合关系，从而导致对数校正的概念。为此，我们获得了新的Schwarzschild黑洞的校正熵，以分析热波动的影响，并评估热力学量，例如特定热量，内部能量，内部能量，Helmholtz自由能，Gibbs Free Energe，gibbs自由能，触发和压力在校正参数$η$的情况下。此外，我们借助热容量和众所周知的Hessian基质技术来检查系统的稳定性。通过我们的图形分析，我们观察到热波动会影响小半径黑洞的稳定性（例如，新的Schwarzild黑洞），因此，由于这些一阶校正，小黑洞会得到不稳定的区域。
We study the thermodynamic analysis and logarithm corrections of the new Schwarzschild black hole. We compute the thermodynamic quantities like entropy, Hawking temperature and heat capacity. The area of black holes never decreases because they absorb everything from their surroundings due to high gravity. In this regard, the area-entropy relation proposed by Bekenstein needs to be corrected, leading to the concept of logarithmic corrections. To do so, we obtain the corrected entropy for new Schwarzschild black hole to analyze the effects of thermal fluctuations and we evaluate the thermodynamic quantities like specific heat, internal energy, Helmholtz free energy, Gibbs free energy, enthalpy and pressure in the presence of correction parameter $η$. Furthermore, we check the stability of the system with the help of heat capacity and well known Hessian matrix technique. By our graphical analysis, we observe that the thermal fluctuations effects the stability of small radii black holes (e.g., New Schwarzchild black hole) and therefore, small black holes get unstable regions due to these first order corrections.
