Redshift in a six-dimensional classical Kaluza-Klein type model

TL;DR

This paper explores a six-dimensional Kaluza-Klein model with a massless dilatonic field, revealing unique horizon-free solutions and analyzing how extra dimensions influence observable phenomena like redshifts, potentially explaining galactic emission anomalies.

Contribution

It presents a new static spherically symmetric solution in a six-dimensional Kaluza-Klein framework with a massless dilaton, differing from Schwarzschild black holes and affecting test particle dynamics.

Findings

Horizon-free solutions differ from Schwarzschild black holes.

Dilatonic field influences test particle motion similarly to massive matter.

Possible explanation for anomalous galactic emission lines and quasar-galaxy associations.

Abstract

Multidimensional theories still remain attractive from the point of view of better understanding fundamental interactions. In this paper a six-dimensional Kaluza-Klein type model at the classical, Einstein's gravity formulation is considered. The static spherically symmetric solution of the six-dimensional Einstein equations coupled to the Klein-Gordon equation with the massless dilatonic field is presented. As it is horizon free, it is fundamentally different from the four-dimensional Schwarzschild solution. The motion of test particles in such a spherically symmetric configuration is then analyzed. The presence of the dilatonic field has a similar dynamical effect as the existence of additional massive matter. The emphasis is put on some observable quantities like redshifts. It has been suggested that strange features of emission lines from galactic nuclei as well as quasar-galaxy associations may in fact be manifestations of the multidimensionality of the world.