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Scalar field breathers on anti-de Sitter background

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arxiv 1312.7562 v1 pith:VNA5RLRE submitted 2013-12-29 hep-th gr-qc

Gyula Fodor , Péter Forgács , Philippe Grandclément This is my paper · ORCID
classification hep-thgr-qc
keywords breathersscalaramplitudeanti-dedimensionsfieldomegasitter
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Oscillons in AdS space

    hep-th 2024-12 conditional novelty 6.0 of 10

    Simulations show long-lived oscillons in anti-de Sitter space, with recurrence of decayed waves and a transition to a persistent oscillatory state as the AdS radius shrinks.

  2. Resonances in Lifetimes of AdS Oscillon

    hep-th 2025-05 conditional novelty 5.0 of 10

    AdS oscillon lifetimes show resonance peaks both in initial core size and in spacetime curvature radius, with fitted logarithmic exponents and bifurcating peaks under reflected waves.

  3. Time-periodic solutions of the conformally invariant wave equation on the Einstein cylinder

    gr-qc 2025-08 conditional novelty 3.0 of 10

    For the cubic conformal wave equation on the Einstein cylinder, time-periodic solutions form complex trunk-branch bifurcation networks, and a resummed Poincaré-Lindstedt series is claimed to encode these structures.

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