论文标题
DRGT大型重力中高维ds黑洞的热力学特性
Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
论文作者
论文摘要
根据DE Sitter的状态参数满足热力学的第一定律,我们可以得出一些有效的热力学数量。当黑洞的温度等于宇宙学的温度时,我们认为时空的有效温度应该具有相同的值。使用这种条件,我们获得了较高维持的De Rham,Gabadadze和Tolley(DRGT)大量重力的De Sitter黑洞熵的微分方程。求解微分方程,我们获得了De Sitter黑洞的校正后熵和有效的热力学量。结果表明,对于多参数黑洞,熵满足的微分方程是不变的,具有不同的独立状态参数。因此,在DRGT大量重力中,高维ds黑洞的熵只是黑洞地平线位置的函数,并且与其他状态参数无关。它与黑洞地平线和宇宙学地平线的相应熵一致。从理论上给出了自搭配的DE Sitter时空的热力学数量,并且等效的热力学数量具有类似于ADS Black Hole的二阶相变的二阶相变,但是与Ads Black Shole不同,DE Sitter Aspotim时空的等效温度具有最大值。通过满足热力学平衡和时空稳定性的需求,可以获得宇宙中DS黑洞存在的条件。
On the basis of the state parameter of de Sitter space-time satisfying the first law of thermodynamics,we can derive some effective thermodynamic quantities.When the temperature of the black hole horizon is equal to that of the cosmological horizon, we think that the effective temperature of the space-time should have the same value. Using this condition, we obtain a differential equation of the entropy of the de Sitter black hole in the higherdimensional de Rham, Gabadadze and Tolley (dRGT) massive gravity. Solving the differential equation, we obtain the corrected entropy and effective thermodynamic quantities of the de Sitter black hole. The results show that for multiparameter black holes, the entropy satisfied differential equation is invariable with different independent state parameters. Therefore, the entropy of higher-dimensional dS black holes in dRGT massive gravity is only a function of the position of the black hole horizon, and is independent of other state parameters. It is consistent with the corresponding entropy of the black hole horizon and the cosmological horizon. The thermodynamic quantities of self-consistent de Sitter spacetime are given theoretically, and the equivalent thermodynamic quantities have the second-order phase transformation similar to AdS black hole, but unlike AdS black hole, the equivalent temperature of de Sitter space-time has a maximum value. By satisfying the requirement of thermodynamic equilibrium and stability of space-time, the conditions for the existence of dS black holes in the universe are obtained.