A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime
A new touch temperature of the event horizon and Rindler horizon in the Kinnersley spacetime
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DOI：
10.1140/epjc/s10052-021-09951-7
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发表时间：
2022-01
期刊：
影响因子：
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通讯作者：
Jie Zhang;Men-quan Liu;Zhi-E Liu;Shu-Zheng Yang
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文献类型：
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作者：
Jie Zhang;Men-quan Liu;Zhi-E Liu;Shu-Zheng Yang
Kinnersley时空不仅描述了一个非球对称的、动态的、加速运动的黑洞，而且由于它具有两个视界：Rindler视界和事件视界，可以用来研究两个黑洞碰撞的特性。先前的研究表明，由于违反热力学第三定律，Rindler视界和事件视界不能接触。通过求解包含Lorentz色散关系的费米子动力学方程，得到了黑洞视界处的修正辐射温度，以及Rindler视界与视界接触点处的碰撞温度.我们发现接触点的温度不等于零，如果。这一结果表明，当考虑洛伦兹色散关系时，事件视界和Rindler视界可以碰撞而不违反热力学第三定律。
The Kinnersley spacetime not only describes a non-spherical symmetric, non-stationary and accelerating black hole, but also can be used to explore the characteristics of collision of two black holes because it has two horizons: the Rindler horizon and the event horizon. Previous research shows Rindler horizon and the event horizon cannot touch due to violation of the third law of thermodynamics. By solving a fermion dynamical equation including the Lorentz dispersion relation, we obtain a modified radiation temperature at the event horizon of the black hole, as well as the colliding temperature at the touch point of Rindler horizon and the event horizon. We find the temperature at the touch point is not equal to zero if. This result indicates that the event horizon and Rindler horizon can collide without violation of the third law of thermodynamics when Lorentz dispersion relation is considered.