Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity

Abstract Motivated by the growing interest in the nonmetricity-matter couplings, we develop the scalar–tensor formulation of recently introduced f(Q, T) gravity, where Q is the nonmetricity and T is the trace of the energy–momentum tensor. The main properties of the scalar–tensor formalism for the F...

Full description

Saved in:
Bibliographic Details
Main Authors: Adam Z. Kaczmarek, João Luís Rosa, Dominik Szczȩśniak
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13919-2
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850190826259349504
author Adam Z. Kaczmarek
João Luís Rosa
Dominik Szczȩśniak
author_facet Adam Z. Kaczmarek
João Luís Rosa
Dominik Szczȩśniak
author_sort Adam Z. Kaczmarek
collection DOAJ
description Abstract Motivated by the growing interest in the nonmetricity-matter couplings, we develop the scalar–tensor formulation of recently introduced f(Q, T) gravity, where Q is the nonmetricity and T is the trace of the energy–momentum tensor. The main properties of the scalar–tensor formalism for the Friedmann–Lemaître–Robertson–Walker (FLRW) Universe are discussed, and we introduce an appropriate set of dynamical variables to analyze the cosmic evolution of the scalar–tensor f(Q, T) cosmology as a dynamical system. By considering two distinct cosmic fluids, namely matter and radiation, we have demonstrated that the cosmological phase space exhibits the typical curvature-dominated, radiation-dominated, matter-dominated, and exponentially accelerated fixed points. Furthermore, under an appropriate set of initial conditions compatible with the current observations from the Planck satellite, our analysis shows that the scalar–tensor f(Q, T) successfully yields models indistinguishable from the $$\Lambda $$ Λ CDM cosmology and compatible with the weak-field solar system dynamics, without the inclusion of a cosmological constant $$\Lambda $$ Λ . Thus, the theory introduced herein may be regarded as a suitable candidate to describe the cosmological dynamics of the Universe.
format Article
id doaj-art-be29136caaac4910b8abb01f848c0966
institution OA Journals
issn 1434-6052
language English
publishDate 2025-02-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-be29136caaac4910b8abb01f848c09662025-08-20T02:15:08ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-02-0185211110.1140/epjc/s10052-025-13919-2Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravityAdam Z. Kaczmarek0João Luís Rosa1Dominik Szczȩśniak2Institute of Physics, Jan Długosz University in CzȩstochowaInstitute of Physics, University of TartuInstitute of Physics, Jan Długosz University in CzȩstochowaAbstract Motivated by the growing interest in the nonmetricity-matter couplings, we develop the scalar–tensor formulation of recently introduced f(Q, T) gravity, where Q is the nonmetricity and T is the trace of the energy–momentum tensor. The main properties of the scalar–tensor formalism for the Friedmann–Lemaître–Robertson–Walker (FLRW) Universe are discussed, and we introduce an appropriate set of dynamical variables to analyze the cosmic evolution of the scalar–tensor f(Q, T) cosmology as a dynamical system. By considering two distinct cosmic fluids, namely matter and radiation, we have demonstrated that the cosmological phase space exhibits the typical curvature-dominated, radiation-dominated, matter-dominated, and exponentially accelerated fixed points. Furthermore, under an appropriate set of initial conditions compatible with the current observations from the Planck satellite, our analysis shows that the scalar–tensor f(Q, T) successfully yields models indistinguishable from the $$\Lambda $$ Λ CDM cosmology and compatible with the weak-field solar system dynamics, without the inclusion of a cosmological constant $$\Lambda $$ Λ . Thus, the theory introduced herein may be regarded as a suitable candidate to describe the cosmological dynamics of the Universe.https://doi.org/10.1140/epjc/s10052-025-13919-2
spellingShingle Adam Z. Kaczmarek
João Luís Rosa
Dominik Szczȩśniak
Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
European Physical Journal C: Particles and Fields
title Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
title_full Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
title_fullStr Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
title_full_unstemmed Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
title_short Dynamical reconstruction of the $$\Lambda $$ Λ CDM model in the scalar–tensor representation of $$f\left( Q,T\right) $$ f Q , T gravity
title_sort dynamical reconstruction of the lambda λ cdm model in the scalar tensor representation of f left q t right f q t gravity
url https://doi.org/10.1140/epjc/s10052-025-13919-2
work_keys_str_mv AT adamzkaczmarek dynamicalreconstructionofthelambdalcdmmodelinthescalartensorrepresentationoffleftqtrightfqtgravity
AT joaoluisrosa dynamicalreconstructionofthelambdalcdmmodelinthescalartensorrepresentationoffleftqtrightfqtgravity
AT dominikszczesniak dynamicalreconstructionofthelambdalcdmmodelinthescalartensorrepresentationoffleftqtrightfqtgravity