Energy in critical collapse  

作　　者：Yu Hu Jun-Qi Guo Junbin Li Cheng-Gang Shao Hongsheng Zhang 

机构地区：[1]MOE Key Laboratory of Fundamental Physical Quantities Measurement,Hubei Key Laboratory of Gravitation and Quantum Physics,PGMF,and School of Physics,Huazhong University of Science and Technology,Wuhan 430074,Hubei,China [2] School of Physics and Technology,University of Jinan,Jinan 250022,Shandong,China [3] Department of Mathematics,Sun Yat-sen University,Guangzhou 510275,Guangdong,China

出　　处：《Communications in Theoretical Physics》2023年第12期97-104,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11925503);supported by Shandong Province Natural Science Foundation under grant No.ZR2019MA068.

摘　　要：We study the energy issue in critical collapse.It is found that in critical collapse,the contribution from the material energy is greater than that from the gravitational energy.The quantity m/r plays an important role in identifying the formation of an apparent horizon in gravitational collapse,where m is the Misner-Sharp mass and r is the areal radius.We observe that in critical collapse,the maximum value of m/r fluctuates between 2/15 and 4/15.This denotes a large gap between critical collapse and black hole formation for which the criterion is m/r=1/2.

关 键 词：quasi-local energy critical collapse numerical relativity 

分 类 号：P145.8[天文地球—天体物理]