Metric-Affine F(T,Q) gravity: cosmological implications and constraints
Dinesh Chandra Maurya, Kuralay Yesmakhanova, Ratbay Myrzakulov, Gulgassyl Nugmanova
Abstract
Abstract In this paper, we investigate some exact cosmological models in Metric-Affine F ( T , Q ) gravity, with observational constraints. The Metric-Affine F ( T , Q ) gravity is some kind of unification of two known gravity theories, namely, the F ( T ) gravity and the F ( Q ) gravity. We obtain the field equations of the Metric-Affine theory by considering the metric tensor and the general affine connection as independent variables. We then focus on the particular case in which the F ( T , Q ) function characterizing the aforementioned metric-affine models is linear, that is, F ( T , Q ) = λ T + μ Q . We investigate this linear case and consider a Friedmann-Lemaître-Robertson-Walker background to study cosmological aspects and applications. We have obtained three exact solutions of the modified field equations in two different cases, T and Q , using the Hubble function H ( t ) and the scale factor a ( t ). We then placed observational constraints on these solutions using the Hubble H ( z ) datasets and the MCMC analysis. We have investigated the deceleration parameter q ( z ) and effective EoS parameters, and a comparative study of all three models with ΛCDM model has been carried out.