https://doi.org/10.1140/epjc/s10052-023-11690-w
Regular Article - Theoretical Physics
Sudden shock waves in modified gravity
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
Received:
6
May
2023
Accepted:
2
June
2023
Published online:
9
June
2023
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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