Superluminality in the Bi- and Multi- Galileon

Fromont, Paul de; Rham, Claudia de; Heisenberg, Lavinia; Matas, A.

doi:10.48550/arxiv.1303.0274

Cited by 15 publications

(23 citation statements)

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“…There are parallels in galileon theory: as first shown in [2,3] the decoupling limit of dRGT gives the single field galileon theories of [36]. Multi-metric theories should yield some kind of multi-galileon along the lines of [37,38,39] (though many of these multi-galileon theories also have instabilities or superluminality [40,41,42,43]). It has been argued that for a single massive graviton of mass m in D = 4, the highest unitarity bound which is possible is the rather low cutoff Λ 3 ≡ (M P m 2 ) 1/3 [27].…”

Section: Discussionmentioning

confidence: 98%

Interacting spin-2 fields

Hinterbichler

Rosen

2012

J. High Energ. Phys.

298

616

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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, 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.

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Section: Discussionmentioning

confidence: 98%

Interacting spin-2 fields

Hinterbichler

Rosen

2012

J. High Energ. Phys.

298

616

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“…Of course, the ghost pathology is not the only problem experienced by a generic massive gravity model. For instance, there are strong arguments that the ghost-free massive gravity suffers from superluminality in the decoupling limit [32,33,34], contains tachyonic modes [35], and exhibits ghost instabilities around cosmological homogeneous solutions [36,37] (see however [38]). Some of these problems could be resolved if there exists a special choice of parameters corresponding to a partially massless case where an additional gauge symmetry arises and reduces the number of degrees of freedom of the massive graviton from 5 to 4 [39,40].…”

Section: Discussionmentioning

confidence: 99%

Canonical structure of tetrad bimetric gravity

Alexandrov

2013

Gen Relativ Gravit

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We perform the complete canonical analysis of the tetrad formulation of bimetric gravity and confirm that it is ghost-free describing the seven degrees of freedom of a massless and a massive gravitons. In particular, we find explicit expressions for secondary constraints, one of which is responsible for removing the ghost, whereas the other ensures the equivalence with the metric formulation. Both of them have a remarkably simple form and, being combined with conditions on Lagrange multipliers, can be written in a covariant way.

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“…See also the review works [8,9]. Besides ghosts and mass discontinuity, there is also an ongoing discussion [10,11,12,13,14] on causality in massive gravity theories.…”

Section: Introductionmentioning

confidence: 99%

Massive spin-2 particle from a rank-2 tensor

Dalmazi

2013

Phys. Rev. D

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Here we obtain all possible second-order theories for a rank-2 tensor which describe a massive spin-2 particle. We start with a general second-order Lagrangian with ten real parameters. The absence of lower spin modes and the existence of two local field redefinitions leads us to only one free parameter. The solutions split into three one-parameter classes according to the local symmetries of the massless limit. In the class which contains the usual massive Fierz-Pauli theory, the subset of spin-1 massless symmetries is maximal. In another class where the subset of spin-0 symmetries is maximal, the massless theory is invariant under Weyl transformations and the mass term does not need to fit in the form of the Fierz-Pauli mass term. In the remaining third class neither the spin-1 nor the spin-0 symmetry is maximal and we have a new family of spin-2 massive theories.Comment: 17 pages, no figure

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Superluminality in the Bi- and Multi- Galileon

Cited by 15 publications

References 0 publications

Interacting spin-2 fields

Interacting spin-2 fields

Canonical structure of tetrad bimetric gravity

Massive spin-2 particle from a rank-2 tensor

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