Sudden shock waves in modified gravity

Ignatios Antoniadis; Spiros Cotsakis; Dimitrios Trachilis

doi:10.1140/epjc/s10052-023-11690-w

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 491
https://doi.org/10.1140/epjc/s10052-023-11690-w

Regular Article - Theoretical Physics

Sudden shock waves in modified gravity

Ignatios Antoniadis¹^,2, Spiros Cotsakis³^,4^b and Dimitrios Trachilis⁵

¹ Laboratoire de Physique Théorique et Hautes Energies, LPTHE Sorbonne Université, CNRS 4 Place Jussieu, 75005, Paris, France
² School of Natural Sciences, Institute for Advanced Study, 08540, Princeton, NJ, USA
³ Institute of Gravitation and Cosmology RUDN University, ul. Miklukho-Maklaya 6, 117198, Moscow, Russia
⁴ Research Laboratory of Geometry, Dynamical Systems and Cosmology, University of the Aegean, 83200, Karlovassi, Samos, Greece
⁵ College of Engineering and Technology, American University of the Middle East, Kuwait City, Kuwait

^b skot@aegean.gr

Received: 6 May 2023
Accepted: 2 June 2023
Published online: 9 June 2023

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.

© The Author(s) 2023

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