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The impact of the non-coincidence gauge on the dark energy dynamics in f(Q)-gravity

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Abstract

We study the dynamical effects of the non-coincidence gauge on the geometric dark energy within the framework of \(f\left( Q\right) \)-gravity. We specifically examine a spatially flat Friedmann–Lemaître–Robertson–Walker universe with a dust fluid source, employing \(f\left( Q\right) \)-theory of gravity. Our goal is to analyze the dynamical evolution of cosmological parameters to reconstruct the cosmological history. We reproduce previous findings; nevertheless due to the presence of the dust fluid, new asymptotic solutions exist. We emphasize the significance of selecting the appropriate connection, as it dramatically change the cosmological dynamics. Additionally, we show that for the simple power-law \(f\left( Q\right) \) model, there exist a non-coincidence connection where the field equation reconstruct the main epochs of the cosmological history, that is, inflation, radiation epoch, matter era and the late-time acceleration is attributed to the de Sitter solution, which is the unique attractor of the solution trajectories. Moreover this model support Big Rip singularities as unstable solutions in the past.

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Acknowledgements

The author thanks the support of Vicerrectoría de Investigación y Desarrollo Tecnológico (Vridt) at Universidad Católica del Norte through Núcleo de Investigación Geometría Diferencial y Aplicaciones, Resolución Vridt No - 098/2022. AP acknowledges the hospitality of the Ionian University while part of this work carried out.

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  1. Institute of Systems Science, Durban University of Technology, Durban, 4000, South Africa

    Andronikos Paliathanasis

  2. Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla, 1280, Antofagasta, Chile

    Andronikos Paliathanasis

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Paliathanasis, A. The impact of the non-coincidence gauge on the dark energy dynamics in f(Q)-gravity. Gen Relativ Gravit 55, 130 (2023). https://doi.org/10.1007/s10714-023-03179-4

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