Scalar field breathers on anti-de Sitter background

Fodor, Gyula and Forgács, Péter and Grandclément, P. (2014) Scalar field breathers on anti-de Sitter background. PHYSICAL REVIEW D, 89 (6). ISSN 2470-0010

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Abstract

We study spatially localized, time-periodic solutions (breathers) of scalar field theories with var- ious 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, re- vealing a rich and complex structure of the phase-space (bifurcations, resonances). Scalar breather solutions form one-parameter families parametrized by their amplitude, ε, while their frequency, ω = ω(ε), is a function of the amplitude. The scalar breathers on AdS we find have a small ampli- tude 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.

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