Global SSS space-time models

TL;DR

This paper develops global models of static spherically symmetric space-times that match interior and exterior solutions, showing how the source radius and mass influence the dynamics of orbiting objects.

Contribution

It introduces a comprehensive global model framework that incorporates the source radius as an intrinsic parameter affecting space-time and orbital dynamics.

Findings

Global models depend on source radius R through a function Q

R becomes an intrinsic parameter in the global model, affecting physical predictions

Source parameters influence the dynamics of orbiting objects at certain approximation orders

Abstract

We discuss Global Static Spherically Symmetric space-time models of mass $m$ with regular sources at the origin and asymptotically Minkowskian behavior at infinity; the interior model and the exterior one being matched at the radius $R$ of the source in the sense of Lichnerowicz. The global models depend in general on $R$ through a function $Q$ of $m$ and $R$. Although $R$ would be an spurious parameter if the exterior model was considered alone, it becomes intrinsic for the global model. The physical implication is that $R$ as well as $m$ determine, at some order of approximation, the dynamics of orbiting objects or viceversa that this dynamics puts conditions on the physical state of the source.