# Scalar field breathers on anti-de Sitter background

Abstract : 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, $\varepsilon$, while their frequency, $\omega=\omega(\varepsilon)$, 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.
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https://hal.archives-ouvertes.fr/hal-01169773
Contributor : Peter Forgacs <>
Submitted on : Tuesday, June 30, 2015 - 11:10:29 AM
Last modification on : Wednesday, April 29, 2020 - 1:32:15 AM

### Citation

Gyula Fodor, Péter Forgács, Philippe Grandclément. Scalar field breathers on anti-de Sitter background. Physical Review D, American Physical Society, 2014, 89 (065027), pp.24. ⟨10.1103/PhysRevD.89.065027⟩. ⟨hal-01169773⟩

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