Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
Gerben Oling, Juan F. Pedraza
SciPost Phys. Core 8, 025 (2025) · published 27 February 2025
- doi: 10.21468/SciPostPhysCore.8.1.025
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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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Gerben Oling,
- 2 Juan Pedraza
- Comunidad de Madrid
- European Regional Development Fund [ERDF]
- Ministerio de Ciencia e Innovación (through Organization: Ministerio de Ciencia, Innovación y Universidades / Ministry of Science, Innovation and Universities)
- Royal Society