WIMT in Gullstränd–Painlevé and Reissner–Nordström metrics: induced stable gravito-magnetic monopoles

Jesús Martín Romero,Mauricio Bellini

doi:10.1140/epjc/s10052-015-3413-x

Abstract

The aim of this work is to apply Weitzeböck Induced Matter Theory (WIMT) to Gullstränd–Painlevé and Reissner–Nordström metrics in the framework of WIMT. This is a newly developed method that extends Induced Matter Theory from a curved 5D manifold using the Weitzeböck’s geometry, using the fact that the Riemann–Weitzenböck curvature tensor is always null. We obtain the presence of currents whose interpretation can lead to the presence of stable gravito-magnetic monopoles.

Highlights

In a previous paper [1] we incorporated the Weitzeböck’s geometry into the treatment of extended Induced Matter Theory (IMT) [2,3]. This theory is based on the assumption that ordinary matter and physical fields, which we can observe in our 4D universe, can be geometrically obtained from a 5D space–time which is at least Ricci-flat
We are interested in the cases where the extra dimension is non-compact,1 and we define a physical vacuum supported by the Ricci-flatness condition [4]
We shall introduce some basic concepts of the Weitzenböck geometry and we expose some results that we developed in previous works, because these will be tools for obtaining some important results of this article

Summary

Introduction

In a previous paper [1] we incorporated the Weitzeböck’s geometry (using its characteristic connections) into the treatment of extended Induced Matter Theory (IMT) [2,3] This theory is based on the assumption that ordinary matter and physical fields, which we can observe in our 4D universe, can be geometrically obtained from a 5D space–time which is at least Ricci-flat (in the sense of Levi-Civita connections). We are interested in the cases where the extra dimension is non-compact, and we define a physical vacuum supported by the Ricci-flatness condition [4] This theory is founded in the Campbell–Magaard embedding theorem [5,6,7,8] as a par-. We shall introduce some basic concepts of the Weitzenböck geometry and we expose some results that we developed in previous works, because these will be tools for obtaining some important results of this article

Weitzenböck geometry and vielbeins

Some results in WIMT

Gravito-magnetic monopoles from WIMT in GP and RN metrics

Final remarks