Tightening the Penrose inequality

作     者：Hossein Khodabakhshi Hong Lü Run-Qiu Yang 

作者机构：Center for Joint Quantum StudiesDepartment of PhysicsSchool of ScienceTianjin UniversityTianjin300350China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2022年第65卷第12期

页      面：122-130页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 0702[理学-物理学] 

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

主　　题：black hole Penrose-like inequality trace energy condition 

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.