2012/05/15 by H. P. de Oliveira, H. P. DE OLIVEIRA, Leopoldo A. Pando Zayas +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Chaos theory #Cosmology and Gravitation Theories #Field (mathematics) #Instability #Intersection (aeronautics) #Noncommutative and Quantum Gravity Theories #Nonlinear system #Point (geometry) #String (physics) #String theory #Turbulence #gr-qc #hep-th
paper · pdf · doi:10.1142/s0218271812420138
6 pages, 12 figures. Essay awarded honorable mention in the Gravity Research Foundation essay competition 2012
arxiv created 2012/05/15 · openalex publication_date 2012/10/01 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Due to the Anti-de-Sitter/Conformal Field Theory (AdS/CFT) correspondence, the question of instability of AdS spacetimes sits in the intersection of mathematical and numerical relativities, string theory, field theory and condensed matter physics. In this essay we revisit that important question emphasizing the power of spectral methods and highlighting the effectiveness of standard techniques for studying nonlinear dynamical systems. In particular, we display explicitly how the problem can be modeled as a system on nonlinearly coupled harmonic oscillators. We highlight some of the many open questions that stem from this result and point out that a full understanding will necessarily require the interdisciplinary cooperation of various communities.