Einstein spaces in warped geometries in five dimensions

TL;DR

This paper explores five-dimensional Einstein spaces with warped geometries, demonstrating how four-dimensional cosmological models, including those with a cosmological constant, can be embedded into five-dimensional flat spacetime.

Contribution

It provides a novel analysis of embedding four-dimensional cosmological and black hole metrics into five-dimensional warped Einstein spaces.

Findings

Four-dimensional cosmology with a cosmological constant can be embedded into five-dimensional flat spacetime.

The study connects four-dimensional metrics to five-dimensional warped geometries.

Insights into higher-dimensional models of our universe.

Abstract

We investigate five dimensional Einstein spaces in warped geometries from the point of view of the four dimensional physically relevant Robertson-Walker-Friedman cosmological metric and the Schwarzschild metric. We show that a four-dimensional cosmology with a closed spacelike section and a cosmological constant can be imbedded into five-dimensional flat space-time.