New Developments in Cosmological Models and Inflation Theories

Recent research has made strides in understanding cosmological models and inflation theories, particularly in addressing the universe's early conditions. A study titled 'Cosmological Implications and Stability of $f\mathbb{(Q,T)}$ Gravity with Pilgrim Dark Energy Model' explores a new dark energy framework within the $f\mathbb{(Q,T)}$ gravity theory.

This model effectively replicates various epochs in cosmological history and aligns with recent observational data, revealing trends in the equation of state parameter and squared speed of sound (ArXiv).

Additionally, another study on '(Pre)-Inflationary Dynamics with Starobinsky Potential in Noncommutative Effective LQC' examines the dynamics of a flat, homogeneous universe governed by the Starobinsky potential, highlighting different energy domination regimes and their implications for cosmic evolution (ArXiv).

Furthermore, research into the Bumblebee theory on an FLRW background provides insights into the stability of critical points and the deceleration parameter, comparing this model against the standard Lambda-CDM model (ArXiv).

Lastly, the implications of Horndeski gravity in understanding the crossing of the phantom divide in dark energy are discussed, emphasizing the need to consider the growth of large-scale structures (ArXiv).

These studies collectively push the boundaries of our understanding of cosmic inflation and the universe's evolution.