Gravitational collapse of charged scalar fields
Gravitational collapse of charged scalar fields
复制标题
带电标量场的引力塌缩
DOI：
--
复制
发表时间：
2014
影响因子：
2.8
通讯作者：
M. Alcubierre
中科院分区：
文献类型：
--
作者：
J. M. Torres;M. Alcubierre
为了研究带电物质的引力坍缩，我们分析了自引力无质量标量场与球对称电磁场耦合的简单模型。Maxwell-Klein-Gordon扇区的演化方程是在3+1 DocumentClass[12pt]{Minimum}usepackage{amsath}usepackage{wa ysym}usepackage{amsfonts}usepackage{amsbsy}usepackage{matrsbsy}usepackage{upgreek}setlong{oddsidemargin}{-69pt}中导出的，并通过这些场的应力-能量张量与重力耦合。为了一致地求解完整的系统，我们采用了适用于球对称的广义相对论的Baumgarte-Shapiro-Shibata-Nakamura公式。我们考虑了两组表示带电标量场的时间对称球面厚壳的初始数据，它们的不同之处在于一组全局电荷为零，而另一组全局电荷为非零。对于足够紧凑的初始壳，我们发现组态不分散，并且接近于对应于次极值Reissner-Nördstrom黑洞的终态，|q|<；MDocentclass[12pt]{Minimum}usepackage{amsath}usepackage{amsfonts}usepackage{amssymb}usepackage{amsbsy}usepackage{matrsfs}usepackage{upgreek}setlong{oddsidemargin}{-69pt}，例如{document}$$|q|<；M$$end{Document}。通过增加标量域qDocumentclass[12pt]{minimum}usepackage{amsath}usepackage{wa ysym}usepackage{amssymb}usepackage{amsbsy}usepackage{matrsfs}usepackage{upgreek}setlong{oddsidemargin}{-69pt}例如在{Document}$$Q$$end{Document}中，我们发现最终的黑洞往往变得越来越中性。我们的结果支持带电物质情况下的宇宙审查猜想。
In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the Maxwell–Klein–Gordon sector are derived in the 3+1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$3+1$$end{document} formalism, and coupled to gravity by means of the stress–energy tensor of these fields. To solve consistently the full system we employ a generalized Baumgarte–Shapiro–Shibata–Nakamura formulation of General Relativity that is adapted to spherical symmetry. We consider two sets of initial data that represent a time symmetric spherical thick shell of charged scalar field, and differ by the fact that one set has zero global electrical charge while the other has non-zero global charge. For compact enough initial shells we find that the configuration doesn’t disperse and approaches a final state corresponding to a sub-extremal Reissner–Nördstrom black hole with |Q|<Mdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$|Q|<M$$end{document}. By increasing the fundamental charge of the scalar field qdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$q$$end{document} we find that the final black hole tends to become more and more neutral. Our results support the cosmic censorship conjecture for the case of charged matter.