期刊
CLASSICAL AND QUANTUM GRAVITY
卷 33, 期 12, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/33/12/125020
关键词
singularities in general relativity; chaos; AdS/CFT; BKL singularity; chaotic renormalization group flow; timelike singularities; Kac-Moody billiards
类别
资金
- NSF [PHY-0756174, PHY13-16748]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1620625] Funding Source: National Science Foundation
We study the nature of a family of curvature singularities which are precisely the timelike cousins of the spacelike singularities studied by Belinski, Khalatnikov, and Lifshitz (BKL). We show that the approach to the singularity can be modeled by a billiard ball problem on hyperbolic space, just as in the case of BKL. For pure gravity, generic chaotic behavior is retained in (3 + 1) dimensions, and we provide evidence that it disappears in higher dimensions. We speculate that such singularities, if occurring in AdS/CFT and of the chaotic variety, may be interpreted as (transient) chaotic renormalization group flows which exhibit features reminiscent of chaotic duality cascades.
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