Extra symmetry in the field equations in 5D with spatial spherical symmetry

TL;DR

This paper reveals an extra symmetry in 5D field equations with spherical symmetry, enabling a single 5D solution to generate diverse 4D scenarios, offering new insights into the connection between higher-dimensional physics and observable cosmological and astrophysical phenomena.

Contribution

The paper identifies a novel symmetry in 5D field equations with spherical symmetry, showing how it can produce various 4D scenarios from a single higher-dimensional solution.

Findings

A new symmetry in 5D field equations with spherical symmetry.

Single 5D solutions can generate multiple 4D cosmological and astrophysical scenarios.

Explicit examples demonstrating the symmetry's implications.

Abstract

We point out that the field equations in 5D, with spatial spherical symmetry, possess an extra symmetry that leaves them invariant. This symmetry corresponds to certain simultaneous interchange of coordinates and metric coefficients. As a consequence a single solution in 5D can generate very different scenarios in 4D, ranging from static configurations to cosmological situations. A new perspective emanates from our work. Namely, that different astrophysical and cosmological scenarios in 4D might correspond to the same physics in 5D. We present explicit examples that illustrate this point of view.