Anisotropic cosmology in $q$-deformed entropic gravity

TL;DR

This paper explores how $q$-deformation, rooted in quantum group theory, affects the dynamics of anisotropic Bianchi type-I cosmological models within Verlinde's entropic gravity framework, revealing potential early universe implications.

Contribution

It introduces a novel integration of $q$-deformed theory with entropic gravity to analyze anisotropic cosmological models, extending the understanding of quantum effects in early universe dynamics.

Findings

$q$-deformation influences Bianchi type-I dynamics

Derived new dynamical equations for anisotropic models

Highlighted potential early universe effects of $q$-deformation

Abstract

In this work, we examine the implications of $q$-deformed theory on anisotropic Bianchi type-I cosmological model within the framework of Verlinde's entropic gravity. The $q$-deformed theory, rooted in quantum group structures, provides a natural generalization of classical particle dynamics and offers a useful framework for exploring deviations in standard cosmological models. By incorporating the principles of entropic gravity, which conceptualize gravity as an emergent entropic force, we derive the dynamical equations governing the Bianchi type-I anisotropic model influenced by $q$-deformation. Finally, we analyze the axisymmetric solution of Bianchi type-I model and these findings highlight the potential impact of $q$-deformation on the dynamics of the early universe and its subsequent evolution.