Tightening the Penrose inequality  

作　　者：Hossein Khodabakhshi Hong Lü Run-Qiu Yang 

机构地区：[1]Center for Joint Quantum Studies,Department of Physics,School of Science,Tianjin University,Tianjin,300350,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2022年第12期122-130,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.12005155,11875200,and 11935009)。

摘　　要：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-Nordstr?m black holes.In the spherically symmetric case,we prove this new inequality by assuming both the null and trace energy conditions.

关 键 词：black hole Penrose-like inequality trace energy condition 

分 类 号：P145.8[天文地球—天体物理]