6533b7d3fe1ef96bd1261476
RESEARCH PRODUCT
Caustics for spherical waves
Hayato MotohashiClaudia De Rhamsubject
High Energy Physics - TheoryCosmology and Nongalactic Astrophysics (astro-ph.CO)Astrophysics::High Energy Astrophysical Phenomenagr-qcFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Astronomy & AstrophysicsSpace (mathematics)01 natural sciencesGeneral Relativity and Quantum CosmologyGalileanPhysics Particles & FieldsGRAVITYSimple (abstract algebra)SYSTEMS0103 physical sciencesSpherical waveFIELD-EQUATIONSSPACESINGULARITY010306 general physicsLink (knot theory)Mathematical physicsPhysicsScience & Technology010308 nuclear & particles physicsPhysicshep-thSymmetry (physics)Classical mechanicsHigh Energy Physics - Theory (hep-th)Physical Sciencesastro-ph.CODevelopment (differential geometry)Scalar fieldTENSORSCALARAstrophysics - Cosmology and Nongalactic Astrophysicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-11-15 |