Generalised matter couplings in massive bigravity

Abstract

We investigate matter couplings in massive bigravity. We find a new family of such consistent couplings, including and extending known consistent matter couplings, and we investigate their decoupling limits, ADM decompositions, Higuchi bounds and further aspects. We show that differences to previous known consistent couplings only arise beyond the ${\Lambda }_3$ decoupling limit and discuss the uniqueness of consistent matter couplings and how this is related to the so-called symmetric vielbein condition. Since we work in a vielbein formulation, these results easily generalise to multi-gravity.

40 pages

References in corpus (18)

• Resummation of Massive Gravity
• Interacting Spin-2 Fields
• On couplings to matter in massive (bi-)gravity
• The coupling to matter in Massive, Bi- and Multi-Gravity
• Cosmic expansion histories in massive bigravity with symmetric matter coupling
• Cosmology in bimetric theory with an effective composite coupling to matter
• Cosmology of bigravity with doubly coupled matter
• Cosmological perturbations in massive gravity with doubly coupled matter
• Quantum corrections in massive bigravity and new effective composite metrics
• Unification of Galileon Dualities
• Mass eigenstates in bimetric theory with matter coupling
• Dipolar Dark Matter with Massive Bigravity
• Cosmological viability of massive gravity with generalized matter coupling
• On the uniqueness of the non-minimal matter coupling in massive gravity and bigravity
• Cycles of interactions in multi-gravity theories
• Non-minimal derivative couplings of the composite metric
• The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
• On Consistent Kinetic and Derivative Interactions for Gravitons

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• Gravitational Waves in Doubly Coupled Bigravity
• Post-Newtonian parameter $\gamma$ and the deflection of light in ghost-free massive bimetric gravity
• Ensemble Average Theory of Gravity
• Bimetric Starobinsky model
• Cosmology in massive gravity with effective composite metric
• Aller guten Dinge sind drei: Cosmology with three interacting spin-2 fields
• Black Holes in Multi-Metric Gravity
• Derivative couplings in massive bigravity
• On the absence of ghosts in quadratic bigravity
• Dark Energy and Doubly Coupled Bigravity
• On scale-free extensions of massive (bi-)gravity