2013/12/29 by Gyula Fodor, Péter Forgács, Philippe Grandclément · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Breather #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Eigenfunction #Eigenvalues and eigenvectors #Geometry #Mathematical physics #Mathematics #Nonlinear system #Omega #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.89.065027
30 pages, 22 figures
arxiv created 2013/12/29 · openalex publication_date 2014/03/19 · arxiv updated 2015/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study spatially localized, time-periodic solutions (breathers) of scalar field theories with various self-interacting potentials on anti--de Sitter (AdS) spacetimes in D dimensions. A detailed numerical study of spherically symmetric configurations in D=3 dimensions is carried out, revealing a rich and complex structure of the phase-space (bifurcations, resonances). Scalar breather solutions form one-parameter families parametrized by their amplitude, \ensuremathε, while their frequency, \ensuremathω=\ensuremathω(\ensuremathε), is a function of the amplitude. The scalar breathers on AdS we find have a small amplitude limit, tending to the eigenfunctions of the linear Klein-Gordon operator on AdS. Importantly most of these breathers appear to be generically stable under time evolution.