Static and rotating black strings in dynamical Chern–Simons modified gravity
Static and rotating black strings in dynamical Chern–Simons modified gravity
复制标题
动态陈-西蒙斯修正重力中的静态和旋转黑弦
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
S. Pino
中科院分区：
文献类型：
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作者：
Adolfo Cisterna;C. Corral;S. Pino
Four-dimensional homogeneous static and rotating black strings in dynamical Chern–Simons modified gravity, with and without torsion, are presented. Each solution is supported by a scalar field that depends linearly on the coordinate that span the string. The solutions are locally AdS3×Rdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$mathrm{AdS}_3 imes {mathbb {R}}$$end{document} and they represent the continuation of the Bañados–Teitelboim–Zanelli black hole. Moreover, they belong to the so-called Chern–Simons sector of the space of solutions of the theory, since the Cotton tensor contributes nontrivially to the field equations. The case with nonvanishing torsion is studied within the first-order formalism of gravity, and it considers nonminimal couplings of the scalar fields to three topological invariants: Nieh–Yan, Pontryagin and Gauss–Bonnet terms, which are studied separately. These nonminimal couplings generate torsion in vacuum, in contrast to Einstein–Cartan theory. In all cases, torsion contributes to an effective cosmological constant that, in particular cases, can be set to zero by a proper choice of the parameters.
Four-dimensional homogeneous static and rotating black strings in dynamical Chern–Simons modified gravity, with and without torsion, are presented. Each solution is supported by a scalar field that depends linearly on the coordinate that span the string. The solutions are locally AdS3×Rdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$mathrm{AdS}_3 imes {mathbb {R}}$$end{document} and they represent the continuation of the Bañados–Teitelboim–Zanelli black hole. Moreover, they belong to the so-called Chern–Simons sector of the space of solutions of the theory, since the Cotton tensor contributes nontrivially to the field equations. The case with nonvanishing torsion is studied within the first-order formalism of gravity, and it considers nonminimal couplings of the scalar fields to three topological invariants: Nieh–Yan, Pontryagin and Gauss–Bonnet terms, which are studied separately. These nonminimal couplings generate torsion in vacuum, in contrast to Einstein–Cartan theory. In all cases, torsion contributes to an effective cosmological constant that, in particular cases, can be set to zero by a proper choice of the parameters.