2005/04/25 by K. Koyama, Kazuya Koyama, Andrew Mennim +1 · 17 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Anti-de Sitter space #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum mechanics #Spacetime #Theoretical physics #Universe #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.72.064001
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 72(6) (American Physical Society) · 12 pages, 4 figures, revtex4
arxiv created 2005/04/25 · openalex publication_date 2005/09/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the dynamics of a boundary field coupled to a bulk field with a linear coupling in an anti-de Sitter bulk spacetime bounded by a Minkowski (Randall-Sundrum) brane. An instability criterion for the coupled boundary and bulk system is found. There exists a tachyonic bound state when the coupling is above a critical value, determined by the masses of the brane and bulk fields and AdS curvature scale. This bound state is normalizable and localized near the brane, and leads to a tachonic instability of the system on large scales. Below the critical coupling, there is no tachyonic state and no bound state. Instead, we find quasinormal modes which describe stable oscillations, but with a finite decay time. Only if the coupling is tuned to the critical value does there exist a massless stable bound state, as in the case of zero coupling for massless fields. We discuss the relation to gravitational perturbations in the Randall-Sundrum brane-world.