Plane 5D worlds and simple compactification

TL;DR

This paper presents a novel exact solution to vacuum Einstein equations combining Minkowski space with a special 5D curved spacetime, potentially impacting flat spacetime physics understanding.

Contribution

It introduces a new class of exact solutions involving a free-structured 5D spacetime coupled with Minkowski space, defined by an arbitrary function and three parameters.

Findings

New exact solution to Einstein equations with 5D curved spacetime

Potential implications for flat spacetime physics

Flexible structure defined by arbitrary function and parameters

Abstract

We obtain a new kind of exact solution to vaccum Einstein field equations that contain both Minkowsian world and a special 5D curved spacetime with particularly free structure. This special world is defined by an arbitrary function and a space of three parameters. We suggest that this solution could correct (in principle) certain aspects of the physics in flat spacetime.