On Instability of Certain Bi-Metric and Massive-Gravity Theories

Abstract

Stability about cosmological background solutions to the bi-metric Hassan-Rosen theory is studied. The results of this analysis are presented, and it is shown that a large class of cosmological backgrounds is classically unstable. This sets serious doubts on the physical viability of the Hassan-Rosen theory - and in turn also of the de Rham-Gadabaze-Tolley model, to which the mentioned theory is parent. A way to overcome this instability by means of curvature-type deformations is discussed.

4 pages, 2 figures; v2: minor changes to match PRD version

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• Beyond the Cosmological Standard Model
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Gravitational waves in bigravity cosmology
• Massive Gravity Acausality Redux
• The Cosmology of Interacting Spin-2 Fields
• Perturbations for massive gravity theories
• The Komar mass function in the de-Rham-Gabadadze-Tolley non-linear theory of massive gravity
• Hamiltonian Formalism of Particular Bimetric Gravity Model
• Massive spin-2 theories