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arXiv 2103.16970gr-qchep-th
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f(T)引力球对称解的探讨

Approaches to spherically symmetric solutions in f(T) gravity

Alexey Golovnev, Maria-Jose Guzman

摘要:

研究了$f(\mathbb T)$引力场静态球对称解的性质。基于我们以前的工作推广比安奇身份这种理论,我们展示了如何搜索的解决方案可以减少到两个相对简单的方程的研究。其中一个不依赖于函数$f$,因此描述了任何$f(\mathbb T)$理论中此类解的性质。另一个方程是径向的一个,如果一个可能的解决方案是选择,它允许找出哪个功能$f$是适合它。我们使用这些方程找到精确的和微扰的解决方案,为任意和特定的选择关闭。

英文摘要:

We study properties of static spherically symmetric solutions in $f(\mathbb T)$ gravity. Based on our previous work on generalising Bianchi identities for this kind of theories, we show how this search of solutions can be reduced to the study of two relatively simple equations. One of them does not depend on the function $f$ and therefore describes the properties of such solutions in any $f(\mathbb T)$ theory. Another equation is the radial one and, if a possible solution is chosen, it allows to find out which function $f$ is suitable for it. We use these equations to find exact and perturbative solutions for arbitrary and specific choices off.

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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