2018/09/30 by Jeremy Sakstein, Mark Trodden
Engineering · Mathematics · Physics and Astronomy · #Acceleration #Aerospace engineering #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Cosmology and Gravitation Theories #Differentiable function #Engineering #Epistemology #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Gravitation #Mathematical analysis #Mathematics #Philosophy #Physics #Pure mathematics #Quartic function #Range (aeronautics) #Theoretical physics #astro-ph.CO #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.98.123512
published as Phys. Rev. D 98, 123512 (2018) · 22 pages, three figures, updated to match published version
openalex publication_date 2018/12/13 · arxiv created 2018/12/17 · arxiv updated 2018/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the existence and behavior of oscillons in theories in which higher derivative terms are present in the Lagrangian, such as Galileons. Such theories have emerged in a broad range of settings, from higher-dimensional models, to massive gravity, to models for late-time cosmological acceleration. By focusing on the simplest example---massive Galileon effective field theories---we demonstrate that higher derivative terms can lead to the existence of completely new oscillons (quasibreathers). We illustrate our techniques in the artificially simple case of 1+1 dimensions, and then present the complete analysis valid in 2+1 and 3+1 dimensions, exploring precisely how these new solutions are supported entirely by the nonlinearities of the quartic Galileon. These objects have the novel peculiarity that they are of the differentiability class C1.