Embedding Diagrams for the Reissner-Nordstr\"om spacetime

TL;DR

This paper explores the embedding diagrams of the Reissner-Nordström spacetime, analyzing their geometric properties and relation to curvature to better understand the spacetime's structure.

Contribution

It provides a detailed analysis of embedding diagrams for the Reissner-Nordström spacetime and relates these diagrams to the curvature scalar, enhancing geometric understanding.

Findings

Embedding diagrams for the $(r-t)$ and $(r- heta)$ planes are constructed.

The relation between diagrams and the curvature scalar is established.

Insights into the geometric structure of charged black holes are gained.

Abstract

We consider embedding diagrams for the Reissner-Nordstr\"om spacetime. We embed the $(r-t)$ and $(r-\phi)$ planes into 3-Minkowski/Euclidean space and discuss the relation between the diagrams and the corresponding curvature scalar of the 2-metrics