Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
arXiv:2409.05836 · doi:10.21468/SciPostPhysCore.8.1.025
Abstract
We demonstrate that the Carroll limit of general relativity coupled to matter captures the chaotic mixmaster dynamics of near-singularity limits. Zooming in on the behavior of general relativity close to spacelike singularities reveals rich and solvable ultra-local Belinski-Khalatnikov-Lifshitz (BKL) dynamics, which we show to be captured by a Carroll limit. Specifically, building on recent work on geometric Carroll expansions of general relativity, we establish that leading-order Carroll gravity, with suitable matter coupling, accurately describes well-known cosmological billiards behavior. Since the Carroll limit implements the ultra-local limit off shell, this opens up the door to a wide range of possible tractable applications, including spatially inhomogeneous setups and the emergence of spikes at late times. This further suggests that Carroll gravity, along with its subleading corrections, could serve as a valuable tool for studying deep infrared physics in AdS/CFT.
19 pages; v2: references added
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Cited by in corpus (7)
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- Diving inside holographic metals
- Interior structure of the holographic s + p superconductor and chaotic-stable transition near the black hole singularity
- Scrambling in charged hairy black holes and the Kasner interior
- Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling
- Universal sectors of two-dimensional Carrollian CFTs
- Rotating Carroll Black Holes: A No Go Theorem