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arxiv: 1611.05038 · v3 · submitted 2016-11-15 · ✦ hep-th · astro-ph.CO· gr-qc

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Caustics for Spherical Waves

Claudia de Rham , Hayato Motohashi
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classification ✦ hep-th astro-ph.COgr-qc
keywords symmetrywavescaustic-freecausticsgalileangalileonglobalsimple
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We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an $SO(p)$-symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI-Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple $SO(p)$-waves and the existence of either a global Galilean symmetry or a global (extreme-)relativistic Galilean symmetry.

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Cited by 1 Pith paper

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

  1. Hard to shock DBI: wave propagation on planar domain walls

    hep-th 2026-04 accept novelty 7.0

    DBI domain walls stay shock-free in the hyperbolic regime across 2D flat space and extended physical setups, with caustics forming only upon loss of hyperbolicity and exhibiting cusp profiles.