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Hyperverse, 5-dimensional Gravity and Multiverses: 5-dimensional Einstein Equations

Written by @multiversetheory | Published on 2024/2/22

TL;DR
One century ago Kaluza and Klein constructed a 5-dimensional gravitation theory unified with electromagnetism.

This paper is available on arxiv under CC 4.0 license.

Authors:

(1) Igor Yu. Potemine, Institut de Math´ematiques, Universit´e Paul Sabatier.

2 5-dimensional Einstein equations

Consider the 5-dimensional Einstein equation in the following form:

Gogberashvili searched for a Schwarzschild-like solution of the form:

where r is the 4-dimensional radial coordinate and dΩ 2 is the 3-dimensional volume element [2, eq. (2)-(4)].

The solution is given in terms of metrics of inner and outer regions:

separated by a time-like 4-dimensional spherical shell (brane, bubble) with FLRW metrics:

where τ is the intrinsic time of this spherical universe [2, eq. (13)-(14)].

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Written by
@multiversetheory
Delving into the ethereal fabric that connects the multiverse, with an adept exploration of the aetheric realms.

Topics and
tags
5-dimensional-gravity|black-hole|multiverse|spherical-shell|multiverse-research-paper|black-hole-physics|nested-gogberashvili-shells|5-dimensional-multiverses
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