Sudden shock waves in modified gravity

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 probl...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2023-06, Vol.83 (6), p.491-6, Article 491
Main Authors: Antoniadis, Ignatios, Cotsakis, Spiros, Trachilis, Dimitrios
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Asymptotic methods
Cauchy problems
Cosmology
Elementary Particles
Equations of state
General Relativity and Quantum Cosmology
Gravity
Hadrons
Heavy Ions
High Energy Physics - Theory
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Shock waves
Singularity (mathematics)
String Theory
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Summary: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11690-w