论文标题
重力彩虹中的固定和自由落体框架Kerr黑洞
Stationary and Free-fall frame Kerr black hole in gravity's rainbow
论文作者
论文摘要
双重相对论（DSR）是编码平时量子重力的有效模型。为了将DSR纳入一般相对论，可以使用重力彩虹，在该彩虹中，测试粒子感觉到的时空背景取决于其能量。在本文中，我们研究了固定（ST）正交框架和自由式（FF）正交框架中彩虹Kerr黑洞的热力学。推导ST框架和FF框架中的彩虹度量后，使用汉密尔顿 - 雅各比方法来获取修改后的鹰温度，比热，并将改良的熵与每种情况相对应，然后讨论热力学特性。我们发现彩虹重力对Kerr黑洞的影响非常依赖于模型。换句话说，与Amelino-Camelia的提议有关参数$η$和$ n $的价值至关重要，值得讨论。通常，由于最广泛接受的选择（$ n = 2，η> 0 $），彩虹重力的影响倾向于降低鹰温度，但会增加ST框架中的黑洞熵，并增加鹰温度，但会降低FF框架中的黑洞熵。
Doubly special relativity (DSR) is an effective model for encoding quantum gravity in flat spacetime. To incorporate DSR into general relativity, one could use gravity's rainbow, where the spacetime background felt by a test particle would depend on its energy. In this paper, we investigate the thermodynamics of rainbow Kerr black hole in the scenario with the stationary(ST) orthonormal frame and free-fall(FF) orthonormal frame. After the rainbow metric in ST frame and FF frame is deduced, the Hamilton-Jacobi method is used to acquire the modified Hawking temperature, specific heat and corresponding the modified entropy to each scenario, then the thermodynamic properties are discussed. We find that the effects of rainbow gravity on Kerr black holes are quite model-dependent. In other words, the value of parameter $η$ and $n$ with Amelino-Camelia's proposal are crucially important and worth discussing. Specificly, with most widly accepted choice ($n=2,η>0$), the effects of rainbow gravity tend to decrease the Hawking temperature but increase the black hole entropy in ST frame, and increase the Hawking temperature but decrease the black hole entropy in FF frame conversely.
