Probing Weyl-type f(Q,T) gravity: Cosmological implications and constraints
Alfedeel A.H.A. Koussour M. Myrzakulov N.
April 2024Elsevier B.V.
Astronomy and Computing
2024#47
In this paper, we investigate the cosmological implications and constraints of Weyl-type f(Q,T) gravity. This theory introduces a coupling between the non-metricity Q and the trace T of the energy–momentum tensor, using the principles of proper Weyl geometry. In this geometry, the scalar non-metricity Q, which characterizes the deviations from Riemannian geometry, is expressed in its standard Weyl form ∇μgαβ=−wμgαβ and is determined by a vector field wμ. To study the implications of this theory, we propose a deceleration parameter with a single unknown parameter χ, which we constrain by using the latest cosmological data. By solving the field equations derived from Weyl-type f(Q,T) gravity, we aim to understand the behavior of the energy conditions within this framework. In the present work, we consider two well-motivated forms of the function f(Q,T): (i) the linear model represented by f(Q,T)=αQ+[Formula presented]QT, where α, β, and γ are free parameters. Here, κ2=[Formula presented] represents the gravitational coupling constant. In both of the models considered, the strong energy condition is violated, indicating consistency with the present accelerated expansion. However, the null, weak, and dominant energy conditions are satisfied in these models.
Deceleration parameter , Energy conditions , FLRW metric , Weyl-type f(Q, T) gravity
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Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, 13318, Saudi Arabia
Department of Physics, Faculty of Science, University of Khartoum, P.O. Box 321, Khartoum, 11115, Sudan
Centre for Space Research, North-West University, Potchefstroom, 2520, South Africa
Department of Physics, University of Hassan II Casablanca, Morocco
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics and Statistics
Department of Physics
Centre for Space Research
Department of Physics
L. N. Gumilyov Eurasian National University
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