Stability and the gauge problem in non-perturbative cosmology

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Abstract

In this paper, we describe the first steps towards fully non-perturbative cosmology. We explain why the conventional methods used by cosmologists based on the ADM formulation are generally inadequate for this purpose and why it is advantageous instead to adapt the harmonic formulation pioneered and utilized in mathematical and numerical relativity. Here we focus on using this approach to evaluating the linear mode stability in homogeneous and nearly homogeneous backgrounds and devising a valid scheme and diagnostics for numerical computation. We also briefly touch on the relevance of these methods for extracting cosmological observables from non-perturbative simulations.

Original languageEnglish (US)
Article number015
JournalJournal of Cosmology and Astroparticle Physics
Volume2019
Issue number1
DOIs
StatePublished - Jan 4 2019

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

Keywords

  • Cosmological perturbation theory
  • Gravity
  • Modified gravity

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