Extreme objects with arbitrary large mass, or density, and arbitrary size

TL;DR

This paper introduces a generalized model of spherically symmetric objects that can have arbitrarily large mass or density and size, achieved through new insights into symmetry localization and space structure understanding.

Contribution

It presents a novel approach to constructing global models with arbitrary large mass or density by localizing symmetry centers and employing principal transformations.

Findings

Models can have arbitrarily large mass or density

New method for localizing symmetry centers

Use of principal transformations to analyze space structure

Abstract

We consider a generalization of the interior Schwarzschild solution that we match to the exterior one to build global C^1 models that can have arbitrary large mass, or density, with arbitrary size. This is possible because of a new insight into the problem of localizing the center of symmetry of the models and the use of principal transformations to understand the structure of space.