A Critical Review Report on Cosmological Inflation, Modified Cosmology and Energy Conditions in f(Q,L_m) Gravity
Author : Kajal Parate and GU Khapekar
Abstract :
The discovery of the accelerated expansion of the universe has motivated the development of several modified theories of gravity that extend General Relativity (GR). Among these theories, f(Q,Lm) gravity has emerged as a promising framework by introducing a non-minimal coupling between the non-metricity scalar Q and the matter Lagrangian Lm​. Unlike curvature-based or torsion-based formulations, this theory is constructed within the symmetric teleparallel geometry, where gravitation is entirely described by non-metricity. Recent studies have demonstrated that this framework provides successful descriptions of both the inflationary epoch of the early universe and the present accelerated cosmic expansion while satisfying important theoretical and observational constraints. Furthermore, the formulation modifies the classical energy conditions, providing new insights into the nature of dark energy and the evolution of the evaluate the strengths, limitations, observational compatibility, and future prospects of the proposed models. The review highlights that f(Q,Lm) gravity represents a viable alternative to General Relativity and offers a unified framework capable of explaining both early and late-time cosmic acceleration.
Keywords :
Modified Gravity, f(Q,Lm) Gravity, Cosmological Inflation, Non-Metricity, Energy Conditions, Symmetric Teleparallel Gravity, Dark Energy, Cosmic Acceleration.
