论文标题

静态爱因斯坦 - 加斯 - 鲍尼特黑洞周围的稳定绑定轨道

Stable bound orbits around static Einstein-Gauss-Bonnet black holes

论文作者

Suzuki, Ryotaku, Tomizawa, Shinya

论文摘要

众所周知,渐近平坦,静态和球形对称的黑洞不接受高维的爱因斯坦重力的稳定的巨大/无质量颗粒的稳定轨道。但是,对于巨大的颗粒,这种曲线理论较高的质量会发生巨大变化。我们澄清参数范围,以便在$ D $二维的Einstein-Gauss-Bonnet理论中存在稳定的绑定轨道,价格为$ 6 \ leq d \ leq 9 $。特别是,我们显示了高斯 - 河网耦合常数的下限的存在,而稳定的结合轨道不再存在。此外,我们还发现,对于理论中的广告黑孔,可以在地平线外两个稳定的圆形轨道。

As is well-known, asymptotically flat, static and spherically symmetric black holes do not admit stable bound orbits of massive/massless particles outside the horizon in higher-dimensional Einstein gravity. However, for massive particles, this dramatically changes in higher curvature theories. We clarify the parameter range such that there exist stable bound orbits in $d$-dimensional Einstein-Gauss-Bonnet theories for $6\leq d\leq 9$. In particular, we show the existence of the lower bound of the Gauss-Bonnet coupling constant below which stable bound orbits cease to exist. Moreover, we also find that for AdS-black holes in the theories, there can exist two stable circular orbits outside the horizon.

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