The Astrophysical Scales Set by the Cosmological Constant, Black-Hole Thermodynamics and Non-Linear Massive Gravity

TL;DR

This paper explores how the cosmological constant influences astrophysical scales, black-hole thermodynamics, and massive gravity, providing explicit calculations and conditions for observer agreement with General Relativity.

Contribution

It explicitly calculates black-hole temperature in massive gravity and establishes conditions for observers to match standard General Relativity results.

Findings

Black-hole temperature is explicitly derived in massive gravity.

Conditions are identified for observers to align with General Relativity.

The role of the cosmological constant in astrophysical and thermodynamic scales is clarified.

Abstract

We calculate explicitly the black-hole temperature for the Schwarzschild de-Sitter solution inside massive gravity by defining the Killing-vector in the direction of the St\"uckelberg function. We then consider the conditions which an observer in massive gravity has to obey in order to agree with the standard results of General Relativity.