论文标题
施瓦茨柴尔德黑洞的热力学特性在非交通量规理论中
Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
论文作者
论文摘要
在本文中，我们使用了非交通性（NC）重力理论来研究变形的Schwarzschild黑洞（SBH）的热力学特性。我们的结果提出了黑洞蒸发的新情况。作为第一步，我们描述了Arnowitt-Deser-Misner（ADM）质量，鹰温度和NC SBH的熵。非交换性消除了温度的差异行为，结果显示了钢管备温度的差异。这些更正还显示了Planck量表顺序的新基本长度，$θ\约2.257 \ times 10^{ - 35} \，m $。在蒸发的最后阶段，NC校正揭示了NC SBH的残余熵$ \ hat {s} _0 $。然后，变形黑洞的热容量和吉布斯自由能的描述显示了NC仪表理论对热力学稳定性和相变的影响。最后，我们研究了黑洞压力对NC时空中SBH的稳定性和相变的影响。在这项研究中，我们发现NC参数与热力学变量起着相似的作用。结果显示NC SBH的二阶相变。
In this paper, we used the non-commutative (NC) gauge theory of gravity to investigate the thermodynamic properties of a deformed Schwarzschild black hole (SBH). Our results present a new scenario of black hole evaporation. As a first step, we described the Arnowitt-Deser-Misner (ADM) mass, the Hawking temperature, and the entropy of NC SBH. The non-commutativity removes the divergence behavior of temperature, and the result shows a difference in the pole-equator temperature. These corrections also reveal a new fundamental length at the Planck scale order, $Θ\approx 2.257 \times 10^{-35}\,m$. In the last stage of evaporation, the NC correction exposes a remnant entropy $\hat{S}_0$ of the NC SBH. Then, the description of the heat capacity and the Gibbs free energy of the deformed black hole shows the effect of the NC gauge theory on the thermodynamic stability and the phase transitions. Finally, we investigate the influence of the black hole pressure on the stability and the phase transition of SBH in NC spacetime. In this study, we found that the NC parameter plays a similar role to the thermodynamic variables. The results show a second-order phase transition of NC SBH.
