Interpenetrating subspaces as a funnel to extra space

TL;DR

This paper introduces a novel model of two interpenetrating universes using higher derivative gravity in six dimensions, resulting in a stable, matter-free funnel structure resembling a spherical wormhole for external observers.

Contribution

It presents a new stable solution for interpenetrating universes in higher derivative gravity without matter, characterized by a funnel-like geometry.

Findings

Stable, matter-free solution in 6D higher derivative gravity.

The solution resembles a spherical wormhole from an external perspective.

Stability is achieved through asymptotic behavior differences at spatial infinities.

Abstract

New solution for two interpenetrating universes is found. Higher derivative gravity acting in 6-dimensional space is the basis of the study that allows to obtain stable solution without introducing matter of any sort. Stability of the solution is maintained by a difference between asymptotic behavior at spacial infinities. For an external observer such a funnel looks similar to a spherical wormhole.