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
References in corpus (37)
- Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
- Conformal Carroll groups and BMS symmetry
- Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
- Carrollian Perspective on Celestial Holography
- Gauging the Carroll Algebra and Ultra-Relativistic Gravity
- Action Principle for Newtonian Gravity
- Bridging Carrollian and Celestial Holography
- Lifshitz Space-Times for Schroedinger Holography
- Schroedinger Invariance from Lifshitz Isometries in Holography and Field Theory
- Non-Relativistic Gravity and its Coupling to Matter
- Carroll Expansion of General Relativity
- Torsional Newton-Cartan gravity from the large expansion of General Relativity
- Diving into a holographic superconductor
- Conformal Carroll Scalars with Boosts
- Gravitational duals to the grand canonical ensemble abhor Cauchy horizons
- Review on Non-Relativistic Gravity
- Lectures on Celestial Holography
- Holographic flows from CFT to the Kasner universe
- On the intrinsic torsion of spacetime structures
- Bath deformations, islands and holographic complexity
- Page Curves and Bath Deformations
- Trans-IR Flows to Black Hole Singularities
- Wheeler-DeWitt states of the AdS-Schwarzschild interior
- What lies beyond the horizon of a holographic p-wave superconductor
- Spike behavior in the approach to spacetime singularities
- Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole
- Kasner interiors from analytic hairy black holes
- The final Kasner regime inside black holes with scalar or vector hair
- Black hole interiors in holographic topological semimetals
- Interior of helical black holes
- Anisotropic Flows into Black Holes
- AdS Black Holes with a Bouncing Interior
- Shock waves, black hole interiors and holographic RG flows
- RG Flows and Thermofield-Double States in Holography
- Holographic flows with scalar self-interaction toward the Kasner universe
- On black hole interior reconstruction, singularities and the emergence of time
- Clarifying Kasner dynamics inside anisotropic black hole with vector hair
Cited by in corpus (7)
- Diving into a holographic multi-band superconductor
- 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