Phantom cosmology with a decaying cosmological function $\Lambda(t)$ induced from five-dimensional (5D) geometrical vacuum

TL;DR

This paper explores how a variable cosmological function derived from a five-dimensional geometric vacuum can be used to generate phantom cosmologies in four dimensions, providing a geometric criterion for selecting $\Lambda(t)$.

Contribution

It introduces a geometric method to determine a suitable time-dependent cosmological function $\Lambda(t)$ from 5D vacuum geometry for phantom cosmology models.

Findings

A geometrical criterion for choosing $\Lambda(t)$

Generation of phantom cosmologies from 5D vacuum

Framework for linking 5D geometry to 4D cosmology

Abstract

Introducing a variable cosmological function $\Lambda (t)$ in a geometrical manner from a 5D Riemann-flat metric, we investigate the possibility of having a geometrical criterion to choose a suitable cosmological function $\Lambda (t)$ for every 4D dynamical hypersurface capable of generate phantom cosmologies.