On Cosmic No-hair in Bimetric Gravity and the Higuchi Bound

Abstract

We study the cosmic no-hair in the presence of spin-2 matter, i.e. in bimetric gravity. We obtain stable de Sitter solutions with the cosmological constant in the physical sector and find an evidence that the cosmic no-hair is correct. In the presence of the other cosmological constant, there are two branches of de Sitter solutions. Under anisotropic perturbations, one of them is always stable and there is no violation of the cosmic no-hair at the linear level. The stability of the other branch depends on parameters and the cosmic no-hair can be violated in general. Remarkably, the bifurcation point of two branches exactly coincides with the Higuchi bound. It turns out that there exists a de Sitter solution for which the cosmic no-hair holds at the linear level and the effective mass for the anisotropic perturbations is above the Higuchi bound.

24 pages, 5 figures, v2: references added, typos corrected

References in corpus (5)

• Resummation of Massive Gravity
• Inflationary Universe with Anisotropic Hair
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity

Cited by in corpus (18)

• Cosmological Stability Bound in Massive Gravity and Bigravity
• Nonlinear stability of cosmological solutions in massive gravity
• Bimetric gravity doubly coupled to matter: theory and cosmological implications
• 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
• Anisotropic universes in the ghost-free bigravity
• Higher dimensional nonlinear massive gravity
• Mild bounds on bigravity from primordial gravitational waves
• Higher dimensional massive bigravity
• Observational constraints on bimetric gravity
• New massive bigravity cosmologies with double matter coupling
• Interacting spin-2 fields in the Stueckelberg picture
• Combining cosmological and local bounds on bimetric theory
• A general theory of linear cosmological perturbations: bimetric theories
• Accelerating Universe with a stable extra dimension in cuscuton gravity
• Primordial Gravitational Waves in Bimetric Gravity
• Primordial fluctuations from inflation in dRGT bimetric theory of gravity
• Analytical constraints on bimetric gravity