Multi-Metric Gravity via Massive Gravity

Abstract

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which are massive and interacting. In this regime the matter naturally should be coupled to massless graviton which introduces a preferred metric that is the average of the primary metrics. The cosmological solution of the theory shows the de-Sitter behavior with a function of mass as its cosmological constant. Surprisingly, it lacks any non-trivial solution when one of the metrics is taken to be Minkowskian and seems to enhance the predictions which suggests that there is no homogeneous, isotropic and flat solution for the standard massive cosmology.

10 pages, references added and typos corrected

References in corpus (6)

• Resummation of Massive Gravity
• Massive Gravity in Three Dimensions
• Bimetric Gravity from Ghost-free Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Bimetric MOND gravity
• Open FRW universes and self-acceleration from nonlinear massive gravity

Cited by in corpus (48)

• Beyond the Cosmological Standard Model
• Interacting Spin-2 Fields
• On couplings to matter in massive (bi-)gravity
• Quasi-Dilaton: Theory and Cosmology
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• Growth Histories in Bimetric Massive Gravity
• Cosmological behavior in extended nonlinear massive gravity
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• The nature of spacetime in bigravity: two metrics or none?
• The Cosmology of Interacting Spin-2 Fields
• Cosmology in bimetric theory with an effective composite coupling to matter
• Linear growth of structure in massive bigravity
• When is Multimetric Gravity Ghost-free?
• Cosmological perturbations in massive gravity with doubly coupled matter
• Massive cosmological scalar perturbations
• Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
• Quantum corrections in massive bigravity and new effective composite metrics
• Classical and quantum massive cosmology for the open FRW universe
• Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling
• Phantom crossing and quintessence limit in extended nonlinear massive gravity
• Integrated Sachs-Wolfe effect in massive bigravity
• Higher dimensional nonlinear massive gravity
• Stability of the Self-accelerating Universe in Massive Gravity
• Noether Identities and Gauge-Fixing the Action for Cosmological Perturbations
• Cosmological viability of massive gravity with generalized matter coupling
• Higher dimensional massive bigravity
• Cycles of interactions in multi-gravity theories
• New massive bigravity cosmologies with double matter coupling
• Interacting spin-2 fields in the Stueckelberg picture
• Consistent metric combinations in cosmology of massive bigravity
• On Cosmic No-hair in Bimetric Gravity and the Higuchi Bound
• The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
• Curvature perturbations of quasidilaton non-linear massive gravity
• Matter coupling in partially constrained vielbein formulation of massive gravity
• Higher Order Clockwork Gravity
• Coupling between Galileon and massive gravity with composite metrics
• Structures in multiple spin-2 interactions
• Ensemble Average Theory of Gravity
• Cosmology in massive gravity with effective composite metric
• Black Holes in Multi-Metric Gravity
• Aller guten Dinge sind drei: Cosmology with three interacting spin-2 fields
• Non-minimal Energy-momentum squared gravity
• Primordial Gravitational Waves in Bimetric Gravity
• Axionic extension of the Proca action
• Mass spectrum and linear perturbations of ghost-free multi-spin-2 theory
• Supergravity Induced Interactions on Thick Branes
• Ghost-free higher order gravity from bi-gravity
• Large-$N$ Random Matrix Gravity and the Double Hierarchy Problem