2014/03/31 by Hans A. Winther, Pedro G. Ferreira · 3 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Class (philosophy) #Classical mechanics #Cluster analysis #Computer science #Convergence (economics) #Cosmology and Gravitation Theories #Field (mathematics) #Galaxies: Formation, Evolution, Phenomena #Mathematical analysis #Mathematics #Nonlinear system #Physics #Poisson distribution #Poisson's equation #Quantum mechanics #Simple (philosophy) #Statistical physics #Statistics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.91.123507
published as Phys. Rev. D 91, 123507 (2015) · 15 pages, 10 figures. Matches version published in PRD
openalex publication_date 2015/06/05 · arxiv created 2015/06/19 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a simple and computationally fast method for performing N-body simulations for a large class of modified gravity theories with a screening mechanism such as chameleons, symmetrons, and Galileons. By combining the linear Klein--Gordon equation with a screening factor, calculated from analytical solutions of spherical symmetric configurations, we obtain a modified field equation of which the solution is exact in the linear regime while at the same time taking screening into account on nonlinear scales. The resulting modified field equation remains linear and can be solved just as quickly as the Poisson equation without any of the convergence problems that can arise when solving the full equation. We test our method with N-body simulations and find that it compares remarkably well with full simulations well into the nonlinear regime.