Exact Schwarzschild-de Sitter black holes in a family of massive gravity models

TL;DR

This paper demonstrates that exact Schwarzschild-de Sitter black hole solutions exist within a specific family of massive gravity models, smoothly connecting to classical solutions as graviton mass approaches zero.

Contribution

It identifies exact black hole solutions in a class of massive gravity theories, showing their consistency with known solutions in the massless limit.

Findings

Black hole solutions are exact in the dRGT massive gravity framework.

Solutions smoothly reduce to classical metrics when graviton mass vanishes.

No scalar graviton cloud appears around these black holes.

Abstract

The Schwarzschild-de Sitter and Reissner-Nordstr\"om-de Sitter black hole metrics appear as exact solutions in the recently formulated massive gravity of de Rham, Gabadadze and Tolley (dRGT), where the mass term sets the curvature scale. They occur within a two-parameter family of dGRT mass terms. They show no trace of a cloud of scalar graviton modes, and in the limit of vanishing graviton mass they go smoothly to the Schwarzschild and Reissner-Nordstr\"om metrics.