Bulk viscous matter in extended symmetric teleparallel Weyl-type f(Q,T) gravity


Koussour M. Altaibayeva A. Bekov S. Muminov S. Davletov I. Rayimbaev J.
October 2025Academic Press Inc.

Annals of Physics
2025#481

In this work, we investigate a specific extension of symmetric teleparallel gravity (STG), commonly referred to as f(Q) gravity, in which the non-metricity scalar Q serves as the fundamental geometric quantity describing gravitation. We focus on the Weyl-type f(Q,T) framework, where Q is non-minimally coupled to the trace of the matter energy–momentum tensor T, with the non-metricity scalar Q constructed from the outset within Weyl geometry. In this formulation, the covariant divergence of the metric tensor satisfies ∇μgαβ=−wμgαβ, where wμ is the Weyl vector. This geometric setting enables us to examine the late-time accelerated expansion of the universe by considering bulk viscous matter as the dominant cosmic component. By adopting the functional form [Formula Presented], we derive exact solutions to the corresponding field equations and confront the model with H(z) and Type Ia supernovae observational data. Our analysis reveals that bulk viscosity in the cosmic fluid plays a significant role in driving the current acceleration, and the model exhibits behavior consistent with a quintessence-like dark energy scenario. These results suggest that standard ΛCDM cosmology may represent an effective limit of a more general gravitational theory based on Weyl-type f(Q,T) gravity.

Bulk viscosity , Dark energy , Observational constraints , Weyl-type f(Q,T) gravity

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Department of Physics, University of Hassan II Casablanca, Morocco
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Kozybayev University, Petropavlovsk, 150000, Kazakhstan
Mamun University, Bolkhovuz Street 2, Khiva, 220900, Uzbekistan
Department of Technique, Urgench State University, Kh. Alimjan Str. 14, Urgench, 221100, Uzbekistan
New Uzbekistan University, Movarounnahr Street 1, Tashkent, 100007, Uzbekistan
Institute of Theoretical Physics, National University of Uzbekistan, University Str. 4, Tashkent, 100174, Uzbekistan

Department of Physics
Department of General and Theoretical Physics
Kozybayev University
Mamun University
Department of Technique
New Uzbekistan University
Institute of Theoretical Physics

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