Dark Energy as a Geometric Behavior with Lower Dimensionality: A Toy Model

TL;DR

This paper explores a geometric, lower-dimensional model of dark energy that could explain the universe's accelerated expansion, resembling quintessence, cosmological constant, and phantom energy, and analyzes its implications for cosmic evolution.

Contribution

It introduces a novel geometric model of dark energy based on lower dimensions, linking it to various dark energy behaviors and analyzing its impact on cosmic evolution.

Findings

Model can mimic quintessence, cosmological constant, and phantom energy.

Predicts specific effects on the universe's fate and evolution.

Shows how lower-dimensional geometry influences dark energy properties.

Abstract

In this paper, we investigate the possibility that a geometric model of dark energy that assume \textquotedblleft lower dimensions\textquotedblright, could generates a repulsive pressure which cause the current accelerated expansion of the Universe. We show how this geometrical model resemble as quintessence, cosmological constant and phantom energy during the cosmological evolution of the Universe choosing the corresponding matter scale factor as well as the possible consequences of this model in the Universe fate. Finally we perform the dynamical evolution of the model with the other Universe components as well as its domination epoch.