Matter--Geometry interplay in new scalar tensor theories of gravity

TL;DR

This paper explores the interaction between matter and geometry in advanced scalar tensor gravity theories, deriving thermodynamic properties, analyzing solutions in cosmology, and constraining models with observational data.

Contribution

It introduces a scalar tensor formulation of $f(R, G_{ ext{μν}}T^{ ext{μν}})$ gravity and applies thermodynamics and observational constraints to study matter-geometry interplay.

Findings

Derived thermodynamic properties like matter creation rate.

Found analytic and numerical solutions in cosmological models.

Constrained Hubble rate models using observational data.

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 $f(R, G_{\mu\nu}T^{\mu\nu})$ 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.