Massive spin-2 theories

Folkerts, Sarah; Germani, Cristiano; Wintergerst, Nico

doi:10.48550/arxiv.1310.0453

Cited by 8 publications

(20 citation statements)

References 34 publications

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“…This possibility was explored in Refs. [230,307,229] where it was shown that in four dimensions, the following derivative interaction L (der) 3 is ghost-free at leading order (i.e., there is no higher derivatives for the Stückelberg fields when introducing the Stückelberg fields associated with linear diffeomorphism),…”

Section: No New Kinetic Interactionsmentioning

confidence: 99%

Massive Gravity

de Rham

2014

Preprint

193

333

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We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model (DGP), cascading gravity and ghost-free massive gravity. We then explore their theoretical and phenomenological consistency, proving the absence of Boulware-Deser ghosts and reviewing the Vainshtein mechanism and the cosmological solutions in these models. Finally we present alternative and related models of massive gravity such as new massive gravity, Lorentz-violating massive gravity and non-local massive gravity.

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Section: No New Kinetic Interactionsmentioning

confidence: 99%

Massive Gravity

de Rham

2014

Preprint

193

333

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“…Repeating the procedure we followed at cubic order, we find the most general ghost free quartic lagrangian can be written in terms of five parameters: a, b 1 , and b 2 , as well as two new parameters c 1 and c 2 L (4) g.f.,Λ 3 = a L (2) a + L (3) a + L (4) a…”

Section: Quartic Ordermentioning

confidence: 99%

“…The Einstein-Hilbert term actually satisfies Property 2 trivially since the Stückelberg fields do not enter the full Einstein-Hilbert term, since it is covariant 4. This statement is more profound than it may seem: Requiring that no more than five degrees of freedom propagate in the kinetic term we deduce that only the Einstein-Hilbert term is acceptable, which is covariant and by itself only propagates two degrees of freedom.…”

mentioning

confidence: 97%

New kinetic interactions for massive gravity?

Rham

Matas

Tolley

2014

Class. Quantum Grav.

166

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Abstract. We show that there can be no new Lorentz invariant kinetic interactions free from the Boulware-Deser ghost in four dimensions in the metric formulation of gravity, beyond the standard Einstein-Hilbert, up to total derivatives. We use dimensional deconstruction as a way to motivate a non-linear ansatz for potential new ghost free kinetic interactions for massive gravity, bi-gravity and multi-gravity in four and higher dimensions. These interactions descend from Lovelock terms, and so naively one might expect the interactions to be ghost free. However we show that these new interactions inevitably lead to more than five propagating degrees of freedom. We then perform a general perturbative analysis in four dimensions, and show that the only term with two derivatives that does not introduce a ghost is the Einstein-Hilbert term. This result extends to all orders in perturbations.

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“…, since with this choice of α, β i explicitly appears linearly in the Hamiltonian when c 1 = 2c 5 (while with other values of λ, this degeneration is not transparent), which corresponds to the GR case. 5 More explicitly, in terms of (41), L GR which was identified in [20] (see also [18,19]).…”

Section: B Derivative Terms and The Compatible Potential Termsmentioning

confidence: 97%

“…In [18] (see also [19]), non-GR cubic self-interaction terms with two spacetime derivatives was shown to exist using the helicity decomposition. Such a possibility was systematically investigated in [20] in arbitrary dimensions and with more than two derivatives, where a class of so-called "pseudolinear" terms was identified.…”

Section: Introductionmentioning

confidence: 99%

Derivative interactions for a spin-2 field at cubic order

Gao

2014

Phys. Rev. D

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Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2 field as well as its first derivatives. Using a perturbative Arnowitt-Deser-Misner analysis, we determined the parameters such that the corresponding Hamiltonian possesses a Lagrange multiplier, which would signify there are at most 5 degrees of freedom that are propagating. The resulting derivative terms are linear combinations of terms coming from the expansion of the Einstein-Hilbert Lagrangian around a Minkowski background, as well as the cubic "pseudolinear derivative term" identified in Hinterbichler [J. High Energy Phys. 10 (\textbf{2013}) 102]. We also derived the compatible potential terms, which are linear combinations of the expansions of the first two de Rham-Gabadadze-Tolley mass terms in unitary gauge.Comment: 18 pages, no figure; v2: Eq.(63) and comments added, published versio

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Massive spin-2 theories

Cited by 8 publications

References 34 publications

Massive Gravity

Massive Gravity

New kinetic interactions for massive gravity?

Derivative interactions for a spin-2 field at cubic order

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