Interacting spin-2 fields

By Kurt Hinterbichler, Rachel A Rosen. 2012

310 citations recorded by the source corpus.

A bstractWe construct consistent theories of multiple interacting spin-2 fields in arbitrary spacetime dimensions using a vielbein formulation. We show that these theories have the additional primary constraints needed to eliminate potential ghosts, to all orders in the fields, and to all orders beyond any decoupling limit. We postulate that the number of spin-2 fields interacting at a single vertex is limited by the number of spacetime dimensions. We then show that, for the case of two spin-2 fields, the vielbein theory is equivalent to the recently proposed theories of ghost-free massive gravity and bi-metric gravity. The vielbein formulation greatly simplifies the proof that these theories have an extra primary constraint which eliminates the Boulware-Deser ghost.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6093c84261d047d759be18afeb4a7fc010378674

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Citations in the corpus

Beyond the Cosmological Standard Model (2014, unknown): “Further, it has been realized that the dRGT construction opens the door to building theories with multiple interacting spin-2 particles [655, 658].”
Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff (2015, background): “In particular, it would be interesting to see whether the multi-galileid with internal SO(3) symmetry discussed in appendix C corresponds to certain cosmological solution in the multi-graviton theory of [50].”
On couplings to matter in massive (bi-)gravity (2014, background): “Despite many advances in our understanding of massive gravity [2, 3], bi-gravity [4] and multi-gravity [5] (see Refs.”
Cosmological stability bound in massive gravity and bigravity (2013, methodology): “1 Vierbein formulation Our derivation will utilize the vierbein formalism [87, 88] (see also [89, 90]) and will follow closely the notation of [79].”
Cosmological tests of modified gravity (2015, background): “mit [152, 153]. However, linear perturbations around the cosmological solutions are again unstable [154, 155]. These massive/bi-gravity theories can be formulated elegantly using the tetrad formalism [156]. It has been suggested that there is a matter coupling that does not introduce the BD ghost in”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “The same procedure can be extended to more than two interacting metrics, leading to multigravity theories (Hinterbichler and Rosen, 2012).”
Massive Gravity (2014, methodology): “∙ The formulation of massive gravity and bi-gravity in the vielbein language were shown to be both analytic and much more natural and allowed for a general formulation of multigravity [314] where an arbitrary number of spin-2 fields may interact together.”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “Bi-gravity was also shown to be extendable to an arbitrary number of interacting metrics in [590], which would lead to multiple Galileon in its decoupling limit.”
Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality (2012, background): “Various theoretical aspects of this interesting theory have been explored for instance in [32, 33, 34, 35, 36, 37, 38, 39, 40, 41].”