Reconstruction of $f(Q,T)$ Lagrangian for various cosmological scenario

Abstract

The variety of theories that can account for the dark energy phenomenon encourages current research to concentrate on a more in-depth examination of the potential impacts of modified gravity on both local and cosmic scales. We discuss some cosmological reconstruction in $f(Q,T)$ cosmology (where $Q$ is the non-metricity scalar, and $T$ is the trace of the energy-momentum tensor) corresponding to the evolution background in Friedmann-Laîmatre-Robertson-Walker (FLRW) universe. This helps us to determine how any FLRW cosmology can arise from a specific $f(Q,T)$ theory. We use the reconstruction technique to derive explicit forms of $f(Q,T)$ Lagrangian for the different kinds of matter sources and Einstein's static universe. We also formulate the models using several ansatz forms of the $f(Q,T)$ function for $p=\omega \rho$. We demonstrate that several classes of $f(Q,T)$ theories admit the power-law and de-Sitter solutions in some ranges of $\omega$. Additionally, we reconstruct the cosmological model for the scalar field with a specific form of $f(Q,T)$. These new models with cosmological inspiration may impact gravitational phenomena at other cosmological scales.

PLB published version

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• Stability analysis of f(Q) gravity models using dynamical systems
• Conformally symmetric wormhole solutions supported by non-commutative geometries in the context of $f(Q,T)$ gravity
• $f(Q,L_m)$ gravity, and its cosmological implications
• $f(Q,T)$ gravity, its covariant formulation, energy conservation and phase-space analysis
• Chebyshev cosmography in the framework of extended symmetric teleparallel theory
• $f(Q,T)$ gravity: From early to late-time cosmic acceleration
• Reconstruction of $f(T,\mathcal{T})$ Lagrangian for various cosmological scenarios
• Statistical and Observation Comparison of Weyl-Type $f(Q,T)$ Models with the $\Lambda$CDM Paradigm
• Conservative wormholes in generalized $\kappa (\mathcal{R},\mathcal{T})$-function
• On Inflationary Models in f(R,T) Gravity with a Kinetic Coupling Term
• Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions