论文标题
量子重力校正对reissner-nordström黑洞的熵的校正
Quantum Gravitational Corrections to the Entropy of a Reissner-Nordström Black Hole
论文作者
论文摘要
从有效的量子重力作用开始，我们将量子重力校正计算到小型电荷极限的四维非超级reissner-nordström（RN）黑洞的WALD熵，从而概括了Schwarzsscheld Blackhole Blackhole Blackhole calneet和Kuipers [1]进行的先前计算。我们表明，在RICCI曲率的二阶情况下，RN度量会接收量子校正，从而改变事件范围的经典位置。我们通过在量子校正事件范围的周长上集成WALD熵公式。然后，我们将量子重力校正计算为黑洞的温度和压力。
Starting from an effective action for quantum gravity, we calculate the quantum gravitational corrections to the Wald entropy of a four dimensional non-extremal Reissner-Nordström (RN) black hole in the limit of small electric charge, generalising a previous calculation carried out by Calmet and Kuipers [1] for a Schwarzschild black hole. We show that, at second order in the Ricci curvature, the RN metric receives quantum corrections which shift the classical position of the event horizon. We apply the Wald entropy formula by integrating over the perimeter of the quantum corrected event horizon. We then compute the quantum gravitational corrections to the temperature and the pressure of the black hole.
