English

Sudden Shock Waves in modified gravity

General Relativity and Quantum Cosmology 2023-06-28 v2 High Energy Physics - Theory

Abstract

We construct a generic asymptotic solution for modified gravity near a sudden singularity. This solution contains a fluid source with no equation of state and is function-counting stable, that is it has eleven independent arbitrary functions of the spatial coordinates as dictated by the Cauchy problem of the theory. We further show that near the sudden singularity the solution has a shock wave character with the same number of free functions in the Jordan and Einstein frame.

Keywords

Cite

@article{arxiv.2304.13291,
  title  = {Sudden Shock Waves in modified gravity},
  author = {Ignatios Antoniadis and Spiros Cotsakis and Dimitrios Trachilis},
  journal= {arXiv preprint arXiv:2304.13291},
  year   = {2023}
}

Comments

v2: 14 pages, matches published version

R2 v1 2026-06-28T10:18:04.737Z