# 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.
Type de document :
Article dans une revue
Physical Review D, American Physical Society, 2014, 89 (065027), pp.24
Domaine :

https://hal.archives-ouvertes.fr/hal-01169773
Contributeur : Peter Forgacs <>
Soumis le : mardi 30 juin 2015 - 11:10:29
Dernière modification le : vendredi 4 janvier 2019 - 17:32:52

### Identifiants

• HAL Id : hal-01169773, version 1
• ARXIV : 1312.7562

### 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. 〈hal-01169773〉

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