# GEMS embeddings and freely falling temperatures of Schwarzschild(-AdS) black holes in massive gravity

## TL;DR

This paper embeds Schwarzschild and Schwarzschild-AdS black holes in higher-dimensional flat spacetime to derive generalized temperatures influenced by massive gravitons.

## Contribution

It introduces a method to embed black holes in higher dimensions to analyze temperature effects caused by massive gravity.

## Key findings

- Derived generalized Hawking, Unruh, and freely falling temperatures.
- Established embedding coordinates for Schwarzschild and Schwarzschild-AdS black holes.
- Highlighted effects of massive gravitons on black hole thermodynamics.

## Abstract

We globally embed (3+1)-dimensional Schwarzschild and Schwarzschild-AdS black holes in massive gravity into (5+2)-dimensional flat spacetimes. Making use of embedding coordinates, we directly obtain the generalized Hawking, Unruh and freely falling temperatures in a Schwarzschild and Schwarzschild-AdS black hole due to massive graviton effects.