论文标题
巴罗黑洞和最小长度
Barrow black holes and the minimal length
论文作者
论文摘要
遵循巴罗（Barrow）对分形黑洞地平线的想法，我们重新构成了静态球形对称黑洞的黑洞熵。当黑洞吸收重要的时候，其地平面面积将增加。鉴于球形的分形结构，我们猜想地平线面积的最小增加应该是最小的气泡球的区域。从中，我们发现黑洞的熵具有对数形式，如果我们将$ a/a_ {pl} $作为微观状态的数量，它类似于Boltzmann熵的形式。我们进一步计算Schwarzschild，Reissner-Nordstr {Ö} M（RN）和RN-ADS黑洞的温度和热能。发现它们的温度在单调上都升高，并且热能都是正的，这意味着这些黑洞在热力学上是稳定的。此外，对于RN-ADS黑洞，我们发现其热容量具有类似Schottky异常的行为，这可能反映出离散的能级和受限的显微镜自由度的存在。
Following Barrow's idea of fractal black hole horizon, we re-derive black hole entropy of static spherically symmetric black holes. When a black hole absorbs matter its horizon area will increase. Given the spherically fractal structure, we conjecture that the minimal increase of the horizon area should be the area of the smallest bubble sphere. From this, we find the black hole entropy has a logarithmic form, which is similar to that of Boltzmann entropy if we consider $A/A_{pl}$ as the number of microscopic states. We further calculate temperatures and heat capacities of Schwarzschild, Reissner-Nordstr{ö}m(RN), and RN-AdS black holes. It is found that their temperatures are all monotonically increasing and the heat capacities are all positive, which means these black holes are thermodynamically stable. Besides, for RN-AdS black hole we find its heat capacity has Schottky anomaly-like behavior, which may reflect the existence of the discrete energy level and restricted microscopical degree of freedom.
