Exact solutions for spherical gravitational collapse around a black hole:the effect of tangential pressure

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英文篇名：Exact solutions for spherical gravitational collapse around a black hole:the effect of tangential pressure 作者：赵声贤 ; 张双南 英文作者：Sheng-Xian Zhao;Shuang-Nan Zhang;Key Laboratory of Space Astronomy and Technology,National Astronomical Observatories,Chinese Academy of Sciences;University of Chinese Academy of Sciences;Key Laboratory of Particle Astrophysics,Institute of High Energy Physics; 英文关键词：black holes;;gravitational collapse;;general relativity 中文刊名：KNWL 英文刊名：中国物理C 机构：Key Laboratory of Space Astronomy and Technology,National Astronomical Observatories,Chinese Academy of Sciences;University of Chinese Academy of Sciences;Key Laboratory of Particle Astrophysics,Institute of High Energy Physics; 出版日期：2018-08-15 出版单位：Chinese Physics C 年：2018 期：v.42 基金：Supported by National Natural Science Foundation of China(11373036,11133002);; the National Program on Key Research and Development Project(2016YFA0400802);; the Key Research Program of Frontier Sciences,CAS,(QYZDY-SSW-SLH008) 语种：英文; 页：KNWL201808016 页数：7 CN：08 ISSN：11-5641/O4 分类号：171-177

摘要

Spherical gravitational collapse towards a black hole with non-zero tangential pressure is studied.Exact solutions corresponding to different equations of state are given.We find that when taking the tangential pressure into account,the exact solutions have three qualitatively different outcomes.For positive tangential pressure,the shell around a black hole may eventually collapse onto the black hole,or expand to infinity,or have a static but unstable solution,depending on the combination of black hole mass,mass of the shell and the pressure parameter.For vanishing or negative pressure,the shell will collapse onto the black hole.For all eventually collapsing solutions,the shell will cross the event horizon,instead of accumulating outside theeventhorizon,even if clocked by a distant stationary observer.
        Spherical gravitational collapse towards a black hole with non-zero tangential pressure is studied.Exact solutions corresponding to different equations of state are given.We find that when taking the tangential pressure into account,the exact solutions have three qualitatively different outcomes.For positive tangential pressure,the shell around a black hole may eventually collapse onto the black hole,or expand to infinity,or have a static but unstable solution,depending on the combination of black hole mass,mass of the shell and the pressure parameter.For vanishing or negative pressure,the shell will collapse onto the black hole.For all eventually collapsing solutions,the shell will cross the event horizon,instead of accumulating outside theeventhorizon,even if clocked by a distant stationary observer.

引文

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