论文标题
拧紧彭罗斯不等式
Tightening the Penrose Inequality
论文作者
论文摘要
Penrose不平等估计了黑洞的质量的下限，其质量是其地平线的区域。对于极端或极端黑洞，这种结合相对较松。我们提出了一种新的类似penrose的不等式，以涉及涉及质量，黑洞事件地平线和温度的静态黑洞。我们的不平等包括彭罗斯不平等作为推论，它被Schwarzschild和Reissner-Nordström黑洞所饱和。在球形对称的情况下，我们通过假设无效和痕量能量条件来证明这种新的不平等。
The Penrose inequality estimates the lower bound of the mass of a black hole in terms of the area of its horizon. This bound is relatively loose for extremal or near extremal black holes. We propose a new Penrose-like inequality for static black holes involving the mass, area of the black hole event horizon and temperature. Our inequality includes the Penrose inequality as its corollary, and it is saturated by both the Schwarzschild and Reissner-Nordström black holes. In the spherically-symmetric case, we prove this new inequality by assuming both the null and trace energy conditions.
