Lovelock黑洞的量子隧穿、黑体谱和非对数熵修正
Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
摘要：
我们表明，使用隧道方法，洛夫洛克黑洞霍金辐射与完美的黑体光谱。这是一个新的结果。在半经典（WKB）近似下，光谱的温度由半经典霍金温度给出。在半经典近似下，光谱的热性质没有改变，但温度经历了一些高阶修正。这对黑洞（事件）和宇宙视界都是正确的。利用热力学热力学第一定律计算了黑洞的熵。特别是$D$维静态，不带电的黑洞解，球对称和渐近平坦，AdS或dS被认为是。这些黑洞有趣的性质是它们的半经典熵不服从贝肯斯坦-霍金面积定律。发现这些黑洞的半经典熵的首项修正不是对数的，其次的首项修正也不是视界面积的倒数。这与爱因斯坦引力理论中的黑洞形成对比。修正的结果是由于在Lovelock拉格朗日量中存在Gauss-Bonnet项。对于高斯-邦纳项的耦合常数为零的极限，我们恢复了爱因斯坦引力中预期的已知修正项。最后，我们把超前（非对数）校正系数与应力张量的迹异常联系起来。
英文摘要：
We show, using the tunneling method, that Lovelock black holes Hawking radiate with a perfect blackbody spectrum. This is a new result. Within the semiclassical (WKB) approximation the temperature of the spectrum is given by the semiclassical Hawking temperature. Beyond the semiclassical approximation the thermal nature of the spectrum does not change but the temperature undergoes some higher order corrections. This is true for both black hole (event) and cosmological horizons. Using the first law of thermodynamics the black hole entropy is calculated. Specifically the $D$-dimensional static, chargeless black hole solutions which are spherically symmetric and asymptotically flat, AdS or dS are considered. The interesting property of these black holes is that their semiclassical entropy does not obey the Bekenstein-Hawking area law. It is found that the leading correction to the semiclassical entropy for these black holes is not logarithmic and next to leading correction is also not inverse of horizon area. This is in contrast to the black holes in Einstein gravity. The modified result is due to the presence of Gauss-Bonnet term in the Lovelock Lagrangian. For the limit where the coupling constant of the Gauss-Bonnet term vanishes one recovers the known correctional terms as expected in Einstein gravity. Finally we relate the coefficient of the leading (non-logarithmic) correction with the trace anomaly of the stress tensor.
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