Coordinate transformations in Schwarzschild singularity problem

TL;DR

This paper presents a systematic method for coordinate transformations that can eliminate the singularities at the event horizon and the center in Schwarzschild spacetime, enhancing understanding of black hole geometry.

Contribution

It introduces a systematic approach to coordinate transformations that remove singularities at r=0 and r=2m in Schwarzschild solutions.

Findings

Singularities at r=0 and r=2m can be eliminated through specific coordinate transformations.

The approach provides a clearer understanding of the Schwarzschild spacetime structure.

Potential implications for black hole physics and general relativity models.

Abstract

A systematic approach to the coordinate transformations in the Schwarzschild singularity problem is considered. It is shown that both singularities at r=0 and r=2m can be eliminated by suitable coordinate transformations.