论文标题
关于非交通量规理论中黑洞热力学的修改第一定律
On Modified First Law of Black hole Thermodynamics in The Non-Commutative Gauge Theory
论文作者
论文摘要
在本文中，我们研究了施瓦茨柴尔德黑洞（SBH）的热力学特性，在重力理论（NC）仪表理论中。根据我们以前的工作，我们根据物理量（NC电位）$ \ MATHCAL {A} $修改了黑洞（BH）热力学的第一定律，这是NC参数$θ$的共轭，从而导致此表达式$ d \ hat f \ hat {m} = \ hat {m} = \ hat {t} d} d \ hat a phah phat {t}我们的结果表明，NC SBH具有相变，非交换性影响了这一转变。 NC的潜在$ \ Mathcal {a} $仅在BH蒸发的最后阶段有效，在此阶段增加了Gibbs的自由能，而本研究中的NC参数可以代表时空的张力。然后，在BH热力学的修改第一定律中对SBH的压力的研究显示出二阶过渡，并且热力学变量的临界值与$θ$的每个值有关，并且导致该参数与热力学变量相同。
In this paper, we investigated the thermodynamic properties of Schwarzschild black hole (SBH) in the non-commutative (NC) gauge theory of gravity. According to our previous work, we modify the first law of the black hole (BH) thermodynamics by the physical quantity (NC potential) $\mathcal{A}$ which is the conjugate to the NC parameter $Θ$, which leads to this expression $d\hat{M}=\hat{T}d\hat{S}+\mathcal{A}dΘ$. Our result shows that the NC SBH has a phase transition, and the non-commutativity affected this transition. And the NC potential $\mathcal{A}$ is effective only in the final stage of the BH evaporation, where it increases the Gibbs free energy at this stage, and the NC parameter in this study can represent the tension of the spacetime. Then the study of the pressure of the SBH in the modified first law of the BH thermodynamic shows a second-order phase transition, and the critical value of the thermodynamical variables are related to each value of $Θ$, and that leads to this parameter to play the same role as a thermodynamical variable.
