5D non-symmetric gravity and geodesic confinement

TL;DR

This paper investigates a novel 5D non-symmetric gravity model where only off-diagonal metric components are non-symmetric, demonstrating confinement of particles near the brane and dynamic energy density behavior over cosmic time.

Contribution

It introduces a unique non-symmetric geometry with off-diagonal metric components, showing confinement and energy density features distinct from symmetric models.

Findings

Massive particles are confined near the brane for various warp factors.

Energy densities mimic thick-brane scenarios.

Deconfinement occurs in early universe, confinement at late times.

Abstract

This work focuses on an unexplored aspect of non-symmetric geometry where {\it only} the off-diagonal metric components along the extra dimension, in a 5-dimensional spacetime, are non-symmetric. We show that the energy densities of the stationary non-symmetric models are similar to that of brane models thereby mimicking the thick-brane scenario. We find that the massive test particles are confined near the location of the brane for both growing and decaying warp factors. This feature is unique to the non-symmetric nature of our model. We have also studied the dynamical models where standard 4D FLRW brane is embedded. Our analysis shows that the non-symmetric terms deconfine energy density at the early universe while automatically confine at late times.