Matter-geometry interplay in new scalar tensor theories of gravity

Mihai Marciu

doi:10.1140/epjc/s10052-024-13558-z

2023 Impact factor 4.2

Particles and Fields

Open Access

This article has an erratum: [https://doi.org/10.1140/epjc/s10052-024-13674-w]

Eur. Phys. J. C (2024) 84: 1191
https://doi.org/10.1140/epjc/s10052-024-13558-z

Regular Article

Matter-geometry interplay in new scalar tensor theories of gravity

Mihai Marciu^a

Faculty of Physics, University of Bucharest, Bucharest, Magurele, Romania

^a mihai.marciu@drd.unibuc.ro

Received: 8 October 2024
Accepted: 30 October 2024
Published online: 20 November 2024

Abstract

The paper studies the possible interplay between matter and geometry in scalar tensor theories of gravitation where the energy–momentum tensor is directly coupled with the Einstein tensor. After obtaining the scalar tensor representation of the $f (R, G_{μ ν} T^{μ ν})$ $f(R, G_{\mu \nu }T^{\mu \nu })$ gravity, the analysis continue with an approach based on the thermodynamics of irreversible processes in open systems. To this regard, various thermodynamic properties are directly obtained in this manner, like the matter creation (annihilation) rate and the corresponding creation (annihilation) pressure. In the case of the Roberson–Walker metric several analytic and numerical solutions are found in the asymptotic regime. In the last part of the manuscript a specific parametrization for the Hubble rate is constrained using the Markov Chain Monte Carlo algorithms in the case of cosmic chronometers (CC) and BAO observations, obtaining an approximate numerical solution which can describe the cosmological model. For this model, we have obtained by fine-tuning some numerical solutions which exhibit creation mechanisms in different specific regimes.

The original version of this article has been revised. The statement: “This work has been partially supported by the project Romanian National Quantum Communication Infrastructure (RoNaQCI), part of EuroQCI, DIGITAL-2021 - QCI-01-DEPLOYNATIONAL, project number 101091562 and by a grant of the Romanian Ministry of Research, Innovation and Digitalization, UEFISCDI, project PN-IV-P8-8.2-EUD-2024-0027.)” was originally published under the Data Availability Statement but should have appeared in the Acknowledgements section.

An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-024-13674-w.

https://doi.org/10.1140/epjc/s10052-024-13674-w

© The Author(s) 2024

corrected publication 2024

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