Mapping Hawking into Unruh Thermal Properties

TL;DR

This paper demonstrates that Hawking radiation and thermodynamic properties of various curved spacetimes can be understood through their embedding into higher-dimensional flat spaces, linking them to Unruh effects.

Contribution

It introduces a global embedding approach that maps Hawking properties to Unruh effects across multiple spacetime geometries, providing a unified perspective.

Findings

Hawking and Unruh thermal properties are equivalent under embedding.

The method applies to Schwarzschild, (A)dS, Reissner-Nordstrom, and BTZ black holes.

Embedding reproduces temperature and entropy of curved space detectors.

Abstract

By globally embedding curved spaces into higher dimensional flat ones, we show that Hawking thermal properties map into their Unruh equivalents: The relevant curved space detectors become Rindler ones, whose temperature and entropy reproduce the originals. Specific illustrations include Schwarzschild, Schwarzschild-(anti)deSitter, Reissner-Nordstrom and BTZ spaces.