New Massive Gravity on de Sitter Space and Black Holes at the Special Point

TL;DR

This paper investigates New Massive Gravity on de Sitter space, focusing on an enhanced symmetry point at linearized level, its absence nonlinearly, and implications for black hole solutions and their hair parameter.

Contribution

It reveals the presence of an enhanced symmetry at linearized level and explores its nonexistence at nonlinear level, linking to black hole solutions in New Massive Gravity.

Findings

Enhanced symmetry point at linearized level

Absence of symmetry at nonlinear level

Existence of static black hole solutions with hair parameter

Abstract

We study New Massive Gravity on de Sitter background and discuss several interrelated properties: The appearance of an enhanced symmetry point at linearized level where the theory becomes partially massless; its absence at full nonlinear level, and its relation with the existence of static black hole solutions and their hair parameter.