The Schwarzschild geometry and the black holes

TL;DR

This paper explores the Schwarzschild geometry and related solutions in Einstein's gravity theory, analyzing black holes, wormholes, and different coordinate systems to deepen understanding for physics students.

Contribution

It provides a comprehensive analysis of Schwarzschild, Eddington, and Kruskal metrics, including wormholes, within Einstein's gravitation theory for educational purposes.

Findings

Analysis of Schwarzschild black hole properties

Discussion of wormhole topologies

Comparison of different metric solutions

Abstract

In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without charge, not in rotation. The Eddington and Kruskal metrics have been also taken unto account and the topological connections named wormholes have been analyzed. This article was written to graduate and postgraduate students of Physics.