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arXiv 1012.2996hep-th
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Gauss-Bonnet引力中的“尖点”解

'Cusp' solutions in Gauss-Bonnet gravity

Evgeny Davydov

摘要:

本文研究了Einstein-Stronon-Gauss-Bonnet引力方程在不被事件视界屏蔽的情况下具有弱奇点解的存在性。这些仍然有意义,因为这样的奇点可能会被量子引力/弦论对爱因斯坦理论的修正所平滑。我们表明,重力与一阶校正,高斯-邦纳项,引起特殊类型的奇点,我们称之为“尖点”,与1/2和1/3的权力在系列扩展。整个空间然后可以分裂成几个尖点与经典的不可穿透的边界,和/或平坦的渐近。

英文摘要:

Einstein-dilaton-Gauss-Bonnet gravity is investigated on existence of solutions with mild singularities, not shielded by the event horizons. These still may have sense since presumably such singularities will be smoothed by corrections to Einstein theory from quantum gravity/string theory. We show that gravity with the first-order correction, the Gauss--Bonnet term, gives rise to special types of singularities, which we call 'cusps', with 1/2-th and 1/3-th powers in series expansion. The full space then can be split onto several cusps with classically impenetrable borders, and/or flat asymptotic.

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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