A Pure Geometric Approach to Stellar Structure

TL;DR

This paper introduces a purely geometric model for stellar structure using a geometric field theory, revealing different stellar zones and extending Einstein's geometerization scheme to include physical material distributions.

Contribution

It develops a novel geometric approach to stellar modeling where material properties are integrated into the geometry, avoiding phenomenological assumptions.

Findings

Identification of multiple stellar zones including a radiation core and corona

Derivation of a general equation of state from the geometric model

Potential applicability to main sequence stars

Abstract

The present work represents a step to deal with stellar structure using a pure geometric approach. A geometric field theory is used to construct a model for a spherically symmetric configuration. The model obtained can be considered as a pure geometric one in the sense that the tensor describing the material distributions is not a phenomenological object, but a part of the geometric structure used. A general equation of state is obtained from, and not imposed on, the model. The solution obtained shows that there are different zones characterizing the configuration: a central radiation dominant zone, a probable convection zone as a physical interpretation of the singularity of the model and a corona like zone. The model may represent a type of main sequence stars. The present work shows that Einstein's geometerization scheme can be extended to gain more physical information within material distribution, with some advantages.