论文标题
Schwarzschild-anti-de Sitter Beltrami SpaceTime中的黑洞的Noether电荷，热力学和相变
Noether Charge, Thermodynamics and Phase Transition of a Black Hole in the Schwarzschild-Anti-de Sitter-Beltrami spacetime
论文作者
论文摘要
在这项工作中，我们研究了Schwarzschil-anti-de保姆 - 贝特拉米（SADSB）时空中黑洞的热力学特性和霍金页相变。我们讨论了抗DE保姆（ADS）时空的Beltrami或惯性坐标。 ADS时空的非惯性和惯性坐标之间的转化是为构建球形引力质量和其他物理量的解决方案的。确定杀戮载体以计算该黑洞的事件范围半径。 SADSB黑洞的熵和温度由Noether电荷方法确定，并表明温度是由反DE保安半径界定的。同样，已经制定了SADSB时空的黑洞热力学的Smarr关系和第一定律。计算了该黑洞的吉布斯自由能和热容量，我们考虑了小黑洞和大型黑洞之间的相变。还研究了热广告时空与大黑洞相之间的一阶相变，并计算出鹰页温度，并将其与Schwarzschild-anti-De保姆（SADS）黑洞进行比较。
In this work, we investigate thermodynamic properties and Hawking-Page phase transition of a black hole in the Schwarzschil-Anti-de Sitter-Beltrami (SAdSB) spacetime. We discuss the Beltrami or inertial coordinates of the Anti-de Sitter(AdS) spacetime. Transformation between the non-inertial and inertial coordinates of the AdS spacetime is formulated to construct the solution of spherical gravitating mass and other physical quantities. The Killing vector is determined to calculate the event horizon radius of this black hole. The entropy and the temperature of SAdSB black hole are determined by the Noether charge method and it is shown that the temperature is bounded by the Anti-de Sitter radius. Similarly, the Smarr relation and first law of black hole thermodynamics for the SAdSB spacetime have been formulated. The Gibbs free energy and heat capacity of this black hole are calculated and we consider the phase transition between small and large black holes. The first-order phase transition between the thermal AdS spacetime and large black hole phase is also investigated and the Hawking-Page temperature is computed and compared with the case of the Schwarzschild-Anti-de Sitter(SAdS) black hole.
