Complete higher dimensional global embedding structures of various black holes

TL;DR

This paper explores the global flat embedding structures of various black holes and de Sitter space, analyzing accelerations and Hawking temperatures across different regions using Killing vectors.

Contribution

It provides a comprehensive analysis of higher-dimensional global embeddings for black holes and de Sitter space, including inside and outside event horizons.

Findings

Derived flat embedding structures for Schwarzschild and Reissner-Nordström black holes.

Analyzed accelerations and Hawking temperatures in different spacetime patches.

Connected embedding structures with thermodynamic properties of black holes.

Abstract

We study global flat embeddings inside and outside of event horizons of black holes such as Schwarzschild and Reissner-Nordstr\"{o}m black holes, and of de Sitter space. On these overall patches of the curved manifolds we investigate four accelerations and Hawking temperatures by introducing relevant Killing vectors.