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We 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,…

高能物理 - 理论 · 物理学 2013-03-19 Kurt Hinterbichler , Rachel A. Rosen

We perform a Hamiltonian constraint analysis of the multivielbein theory proposed in arXiv:1804.09723. The analysis shows that the secondary constraints have the correct form to constrain the dynamical variables, thereby eliminating the…

高能物理 - 理论 · 物理学 2025-10-06 J. Flinckman , S. F. Hassan

So far, only a single theory of multiple spin-2 fields is known that features genuine multi-field interactions while remaining free of Boulware-Deser-type ghost instabilities. In this paper we show that this is the most general ghost-free…

高能物理 - 理论 · 物理学 2026-04-10 Joakim Flinckman , S. F. Hassan

This review is dedicated to recent progress in the field of classical, interacting, massive spin-2 theories, with a focus on ghost-free bimetric theory. We will outline its history and its development as a nontrivial extension and…

高能物理 - 理论 · 物理学 2016-03-31 Angnis Schmidt-May , Mikael von Strauss

We study generalisations of ghost-free bimetric theory which involve more than two spin-2 fields. The consistent interactions can enter in the form of two different couplings and in the majority of this work we concentrate on the simpler…

广义相对论与量子宇宙学 · 物理学 2017-09-19 Oliver Baldacchino , Angnis Schmidt-May

We investigate the cosmology of interacting spin-2 particles, formulating the multi-gravitational theory in terms of vierbeins and without imposing any Deser-van Nieuwenhuizen-like constraint. The resulting multi-vierbein theory represents…

高能物理 - 理论 · 物理学 2014-02-21 Nicola Tamanini , Emmanuel N. Saridakis , Tomi S. Koivisto

In light of recent progress in ghost-free theories of massive gravity and multi-gravity, we reconsider the problem of constructing a ghost-free theory of an interacting spin-2 field charged under a U(1) gauge symmetry. Our starting point is…

高能物理 - 理论 · 物理学 2015-08-26 Claudia de Rham , Andrew Matas , Nicholas Ondo , Andrew J. Tolley

We derive the full perturbative equations of motion for the most general background solutions in ghost-free bimetric theory in its metric formulation. Clever field redefinitions at the level of fluctuations enable us to circumvent the…

高能物理 - 理论 · 物理学 2016-05-20 Laura Bernard , Cedric Deffayet , Angnis Schmidt-May , Mikael von Strauss

Thus far, all known ghost-free interactions of multiple spin-2 fields have involved at most pairwise couplings of the fields, which are direct generalizations of bimetric interactions. Here we present a class of spin-2 theories with genuine…

高能物理 - 理论 · 物理学 2019-07-03 S. F. Hassan , Angnis Schmidt-May

We study ghost-free multimetric theories for $(N+1)$ tensor fields with a coupling to matter and maximal global symmetry group $S_N\times(Z_2)^N$. Their mass spectra contain a massless mode, the graviton, and $N$ massive spin-2 modes. One…

高能物理 - 理论 · 物理学 2018-02-22 N. L. Gonzalez Albornoz , Angnis Schmidt-May , Mikael von Strauss

We construct a non-linear theory of interacting spin-2 fields that is invariant under the partially massless (PM) symmetry to all orders. This theory is based on the SO(1,5) group, in analogy with the SO(2,4) formulation of conformal…

高能物理 - 理论 · 物理学 2017-04-20 Luis Apolo , S. F. Hassan

Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies…

高能物理 - 理论 · 物理学 2015-01-15 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

We give a basic introduction to ghost-free nonlinear theories involving massive spin-2 fields, focussing on bimetric theory. After motivating the construction of such models from field theoretical considerations, we review the linear…

广义相对论与量子宇宙学 · 物理学 2016-02-25 Angnis Schmidt-May

We show how the pseudo-linear interactions for spin-2 particles can be straightforwardly extended to include multiple massive and massless fields without introducing ghosts. When massive spin-2 fields are included, these give simple…

高能物理 - 理论 · 物理学 2019-02-06 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson

Non-minimal matter couplings have recently been considered in the context of massive gravity and multi-gravity. These couplings are free of the Boulware-Deser ghost in the decoupling limit and can thus be considered within an Effective…

高能物理 - 理论 · 物理学 2015-07-22 Claudia de Rham , Andrew J. Tolley

We reconsider the possibility of a class of new kinetic terms in the first order (vielbein) formulation of massive gravity and multi-gravity. We find that new degrees of freedom emerge which are not associated with the Boulware--Deser ghost…

高能物理 - 理论 · 物理学 2015-10-21 Claudia de Rham , Andrew Matas , Andrew J. Tolley

We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory…

高能物理 - 理论 · 物理学 2015-06-11 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed…

高能物理 - 理论 · 物理学 2018-07-18 Charles Mazuet , Mikhail S. Volkov

We present a general model of interacting metric fields with the sum of massless non-interacting spin 2 fields as the linear limit. In the non-interacting limit the model is reduced to a sum of general relativity actions, with the usual…

广义相对论与量子宇宙学 · 物理学 2016-05-03 Idan Talshir

In this work we propose a new gravitational setup formulated in terms of two interacting vierbein fields. The theory is the fully diffeomorphism and local Lorentz invariant extension of a previous construction which involved a fixed…

高能物理 - 理论 · 物理学 2019-01-21 Chrysoula Markou , Felix J. Rudolph , Angnis Schmidt-May
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