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arXiv 2005.10694gr-qc
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F(R)引力中具有非常数标量曲率的薄壳

Thin shells in F(R) gravity with non-constant scalar curvature

Ernesto F. Eiroa, Griselda Figueroa-Aguirre

摘要:

在具有非常数标量曲率R的非二次F(R)引力理论中,我们引入了两类具有薄物质壳的球对称时空。在第一种情况下,薄壳将内部区域与外部区域连接起来,而在第二种情况下,它对应于虫洞的喉部。在这两种情况下,我们分析了径向扰动下的静态配置的稳定性。作为特殊的例子,在时空与宇宙学常数,我们提出了带电薄壳包围一个不带电的黑洞和带电薄壳虫洞。我们表明,在这两种情况下,稳定的解决方案是可能的适当的参数值。

英文摘要:

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer one, while in the second it corresponds to the throat of a wormhole. In both scenarios, we analyze the stability of the static configurations under radial perturbations. As particular examples in spacetimes with a cosmological constant, we present charged thin shells surrounding a non-charged black hole and charged thin-shell wormholes. We show that in both cases stable solutions are possible for suitable values of the parameters.

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