Stars in five dimensional Kaluza Klein gravity
D. Pugliese, G. Montani
TL;DR
This paper develops interior solutions in five-dimensional Kaluza Klein gravity that match the exterior Generalized Schwarzschild solution, potentially modeling static, neutral stars in four-dimensional spacetime.
Contribution
It introduces a set of numerically integrated interior solutions in 5D KK gravity that can serve as models for astrophysical stars.
Findings
Interior solutions match the GSS in vacuum
Solutions describe possible perfect fluid star interiors
Models for static, neutral astrophysical objects
Abstract
In the five dimensional Kaluza Klein (KK) theory there is a well known class of static and electromagnetic--free KK--equations characterized by a naked singularity behavior, namely the Generalized Schwarzschild solution (GSS). We present here a set of interior solutions of five dimensional KK--equations. These equations have been numerically integrated to match the GSS in the vacuum. The solutions are candidates to describe the possible interior perfect fluid source of the exterior GSS metric and thus they can be models for stars for static, neutral astrophysical objects in the ordinary (four dimensional) spacetime.
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