Sudden shock waves in modified gravity

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 Cau...

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Main Authors: Ignatios Antoniadis, Spiros Cotsakis, Dimitrios Trachilis
Format: Article
Language:English
Published: SpringerOpen 2023-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11690-w
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author Ignatios Antoniadis
Spiros Cotsakis
Dimitrios Trachilis
author_facet Ignatios Antoniadis
Spiros Cotsakis
Dimitrios Trachilis
author_sort Ignatios Antoniadis
collection DOAJ
description 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.
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spelling doaj.art-c260ba26e65d4c7d998699127fb5de682023-07-23T11:24:08ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-06-018361610.1140/epjc/s10052-023-11690-wSudden shock waves in modified gravityIgnatios Antoniadis0Spiros Cotsakis1Dimitrios Trachilis2Laboratoire de Physique Théorique et Hautes Energies, LPTHE Sorbonne UniversitéInstitute of Gravitation and Cosmology RUDN UniversityCollege of Engineering and Technology, American University of the Middle EastAbstract 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.https://doi.org/10.1140/epjc/s10052-023-11690-w
spellingShingle Ignatios Antoniadis
Spiros Cotsakis
Dimitrios Trachilis
Sudden shock waves in modified gravity
European Physical Journal C: Particles and Fields
title Sudden shock waves in modified gravity
title_full Sudden shock waves in modified gravity
title_fullStr Sudden shock waves in modified gravity
title_full_unstemmed Sudden shock waves in modified gravity
title_short Sudden shock waves in modified gravity
title_sort sudden shock waves in modified gravity
url https://doi.org/10.1140/epjc/s10052-023-11690-w
work_keys_str_mv AT ignatiosantoniadis suddenshockwavesinmodifiedgravity
AT spiroscotsakis suddenshockwavesinmodifiedgravity
AT dimitriostrachilis suddenshockwavesinmodifiedgravity