2014/03/31 by Venkat Balasubramanian, Alex Buchel, Stephen R. Green +3 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Fermi Gamma-ray Space Telescope #Holography #Physics #Quantum mechanics #Space (punctuation) #Stability (learning theory) #Theoretical physics #Thermalisation #Universe #gr-qc #hep-th #nlin.CD
paper · pdf · doi:10.1103/physrevlett.113.071601
published as Phys. Rev. Lett. 113, 071601 (2014) · v2: Added Supplementary Material addressing approximations and code validation; several improvements to Letter. Letter: 5 pages, 4 figures. Supplementary Material: 3 pages, 4 figures
arxiv created 2014/06/16 · openalex publication_date 2014/08/13 · arxiv updated 2014/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
For a real massless scalar field in general relativity with a negative cosmological constant, we uncover a large class of spherically symmetric initial conditions that are close to anti-de Sitter space (AdS) but whose numerical evolution does not result in black hole formation. According to the AdS/conformal field theory (CFT) dictionary, these bulk solutions are dual to states of a strongly interacting boundary CFT that fail to thermalize at late times. Furthermore, as these states are not stationary, they define dynamical CFT configurations that do not equilibrate. We develop a two-time-scale perturbative formalism that captures both direct and inverse cascades of energy and agrees with our fully nonlinear evolutions in the appropriate regime. We also show that this formalism admits a large class of quasiperiodic solutions. Finally, we demonstrate a striking parallel between the dynamics of AdS and the classic Fermi-Pasta-Ulam-Tsingou problem.