Space-time diagrammatics

TL;DR

This paper introduces projection diagrams as a new visualization tool for understanding the global structure of various space-time metrics, including black holes and black rings.

Contribution

It presents a novel class of two-dimensional diagrams, called projection diagrams, for visualizing complex space-time geometries.

Findings

Constructed projection diagrams for Kerr-Newman-(anti) de Sitter metrics

Visualized Emparan-Reall black rings using the new diagrams

Demonstrated the diagrams' effectiveness in capturing global space-time structures

Abstract

We introduce a new class of two-dimensional diagrams, the \emph{projection diagrams}, as a tool to visualize the global structure of space-times. We construct the diagrams for several metrics of interest, including the Kerr-Newman - (anti) de Sitter family, with or without cosmological constant, and the Emparan-Reall black rings.