Hawking radiation of charged Einstein-aether black holes at both Killing and universal horizons
Hawking radiation of charged Einstein-aether black holes at both Killing and universal horizons
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带电爱因斯坦-以太黑洞在杀伤视界和宇宙视界的霍金辐射
DOI：
10.1016/j.nuclphysb.2016.10.007
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发表时间：
2015-12
影响因子：
2.8
通讯作者：
Zhu Tao
中科院分区：
文献类型：
--
作者：
Ding Chikun;Wang Anzhong;Wang Xinwen;Zhu Tao
在考虑高阶曲率修正后，我们解析地研究了爱因斯坦-麦克斯韦-以太黑洞Killing视界和普适视界上相对论性和非相对论性粒子的量子隧穿，此时粒子的色散关系变得非线性。我们在Killing视界的结果证实了以前的结果，即在高频下，相应的辐射仍然是热的，色散的非线性不会显着改变霍金辐射。相反，非相对论性粒子是在宇宙视界中产生的，并辐射到无穷远。辐射也有一个热谱，对应的温度为T U H z= 2 κ U H（z− 1）/（2 π z），其中z（z≥ 2）表示非线性色散关系中首项的幂，κ U H是宇宙视界的表面引力，由宇宙视界上射线轨迹的凝视行为定义。我们还研究了Smarr公式，假设：（a）熵与宇宙视界的面积成正比，（B）黑洞热力学第一定律成立，由此我们推导出Smarr质量，它通常不同于在无穷远处获得的总质量。这表明，这些假设中的一个或两个都必须修改。
We study analytically quantum tunneling of relativistic and non-relativistic particles at both Killing and universal horizons of Einstein–Maxwell-aether black holes, after high-order curvature corrections are taken into account, for which the dispersion relation of the particles becomes nonlinear. Our results at the Killing horizons confirm the previous ones, ie, at high frequencies the corresponding radiation remains thermal and the nonlinearity of the dispersion does not alter the Hawking radiation significantly. In contrary, non-relativistic particles are created at universal horizons and are radiated out to infinity. The radiation also has a thermal spectrum, and the corresponding temperature takes the form, T U H z= 2 κ U H (z− 1)/(2 π z), where z (z≥ 2) denotes the power of the leading term in the nonlinear dispersion relation, κ U H is the surface gravity of the universal horizon, defined by peering behavior of ray trajectories at the universal horizon. We also study the Smarr formula by assuming that:(a) the entropy is proportional to the area of the universal horizon, and (b) the first law of black hole thermodynamics holds, whereby we derive the Smarr mass, which in general is different from the total mass obtained at infinity. This indicates that one or both of these assumptions must be modified.
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