Phantom and inflation scenarios from a 5D vacuum through form-invariance transformations of the Einstein equations

TL;DR

This paper explores phantom and inflationary cosmologies derived from a five-dimensional vacuum by applying form-invariance transformations to Einstein's equations, analyzing equations of state and field fluctuations.

Contribution

It introduces a novel approach using form-invariance transformations in 5D vacuum to generate and analyze cosmological models with phantom and inflationary behaviors.

Findings

Derived new cosmological solutions from 5D vacuum using transformations.

Analyzed equations of state for inflaton and phantom fields.

Examined fluctuations of scalar fields in these cosmologies.

Abstract

We study phantom and inflationary cosmologies using form-invariance transformations of the Einstein equations with respect to $\rho$, $H$, $a$ and $p$, from a 5D vacuum. Equations of state and squared fluctuations of the inflaton and phantom fields are examined.