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arXiv 1909.09409gr-qcastro-ph.HE
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在静止或旋转圆柱体中作为重力源的弦云和辐射流

String clouds and radiation flows as sources of gravity in static or rotating cylinders

K. A. Bronnikov

摘要:

考虑广义相对论中静态和静止的圆柱对称时空,由在方位角($φ$)、纵向($z$)或径向($x$)方向上伸展的宇宙弦的分布,或由在这些方向上相互相反的辐射流对支持。对于这样的系统,得到精确的解决方案,并简要讨论,除了径向字符串(一个固定的解决方案,他们没有发现);它表明,静态解决方案与$z$ -和$φ$ -定向辐射流不存在,而对于$z$ -定向字符串的解决方案是唯一可能的负能量密度。几乎所有的解都包含奇点,所有的定态解都有封闭的类时曲线区域,因此只有它们的良好区域才能应用于实际的物理情况。

英文摘要:

Static and stationary cylindrically symmetric space-times in general relativity are considered, supported by distributions of cosmic strings stretched in the azimuthal ($φ$), longitudinal ($z$) or radial ($x$) directions or and by pairs of mutually opposite radiation flows in any of these directions. For such systems, exact solutions are obtained and briefly discussed, except for radial strings (a stationary solution for them is not found); it is shown that static solutions with $z$- and $φ$-directed radiation flows do not exist, while for $z$-directed strings a solution is only possible with negative energy density. Almost all solutions under discussion contain singularities, and all stationary solutions have regions with closed timelike curves, hence only their well-behaved regions admit application to real physical situations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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