Oscillating shells: A model for a variable cosmic object

TL;DR

This paper introduces a model of a variable cosmic object consisting of an oscillating shell around a compact core, analyzing the balance of gravitational forces and internal stresses.

Contribution

It presents a new theoretical model of a variable cosmic object with oscillating shells, exploring the dynamics of gravitational and internal stresses.

Findings

Shell oscillates radially around a central object

Balance between gravitational collapse and internal stresses analyzed

Multiple cases of shell behavior studied

Abstract

A model for a possible variable cosmic object is presented. The model consists of a massive shell surrounding a compact object. The gravitational and self-gravitational forces tend to collapse the shell, but the internal tangential stresses oppose the collapse. The combined action of the two types of forces is studied and several cases are presented. In particular, we investigate the spherically symmetric case in which the shell oscillates radially around a central compact object.