Reconstruction of Lagrangian for various cosmological scenarios
arXiv:2309.06376 · doi:10.1016/j.dark.2023.101352
Abstract
In this paper, we explore a reconstruction scheme in the background of the gravity theory for different cosmological scenarios, where is the scalar torsion and is the trace of the energy-momentum tensor. Using the reconstruction technique Lagrangian is constructed for different cosmological eras such as dust, , perfect fluid, etc. Both minimal and non-minimal matter-coupled models are considered for this purpose. Different cosmological scenarios such as power law expansion, de-Sitter expansion, etc. have been considered, and using them Lagrangian functionals are constructed. Mathematical viabilities of all the constructed functionals have been investigated. The physical implications of the obtained solutions are discussed in detail. To check the cosmological compatibility of the constructed functionals we have generated plots of important parameters like the equation of state parameter and deceleration parameter. It is seen that the reconstructed models are perfectly compatible with the late-time accelerated expansion of the universe.
23 pages, 4 figures
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