Vacua and instantons of ghost-free massive gravity

Abstract

Recently discovered models of ghost-free massive gravity and bigravity are characterized by a non-trivial potential that gives rise to a rich vacuum structure. We review maximally symmetric vacua of the de Rham-Gabadadze-Tolley (dRGT) massive gravity and of the Hassan-Rosen (HR) bigravity, and discuss their perturbative stability. In particular, we discuss perturbations about self-accelerating vacua in HR bigravity, and argue that, analogously to what was found in the case of dRGT gravity, some of them contain strongly coupled modes. We then show that it is impossible to construct regular instantons connecting different classically stable vacua of dRGT gravity without violating energy conservation or the null energy condition.

16 pages, 1 figure

References in corpus (9)

• Resummation of Massive Gravity
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Cosmic Acceleration and the Helicity-0 Graviton
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• Cosmological solutions of massive gravity on de Sitter
• Bubbles in the Self-Accelerating Universe
• Quantum Aspects of Massive Gravity

Cited by in corpus (5)

• Recent developments in bimetric theory
• Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
• Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory
• Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
• The nonlinear dynamical stability of infrared modifications of gravity