Spatially covariant theories of a transverse, traceless graviton: Formalism

Khoury, Justin; Miller, Godfrey E. J.; Tolley, Andrew J.

doi:10.1103/physrevd.85.084002

Cited by 27 publications

(51 citation statements)

References 123 publications

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“…We have used a battery of techniques in order to gain an intuition of the physical meaning of the existence of these theories. Our main conclusion is that these results strengthen the view that general relativity is a unique theory that is not easily deformed (which is compatible with previous partial analyses [49,50]). This claim follows from a combination of results:…”

Section: Discussionsupporting

confidence: 90%

Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity

Carballo-Rubio

Filippo

Liberati

2018

J. Cosmol. Astropart. Phys.

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In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear theory of massless spin-2 particles. Here we perform a comprehensive analysis of these theories with the aim of (i) understanding whether or not these are actually equivalent to general relativity, and (ii) finding the root of the variance in case these are not. We have found that a broad set of seemingly different theories actually pass all the possible tests of equivalence to general relativity (in vacuum) that we were able to devise, including the analysis of scattering amplitudes using on-shell techniques. These results are complemented with the observation that the only examples which are manifestly not equivalent to general relativity either do not contain gravitons in their spectrum, or are not guaranteed to include only two local degrees of freedom once radiative corrections are taken into account. Coupling to matter is also considered: we show that coupling these theories to matter in a consistent way is not as straightforward as one could expect. Minimal coupling, as well as the most straightforward non-minimal couplings, cannot be used. Therefore, before being able to address any issues in the presence of matter, it would be necessary to find a consistent (and in any case rather peculiar) coupling scheme.

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Section: Discussionsupporting

confidence: 90%

Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity

Carballo-Rubio

Filippo

Liberati

2018

J. Cosmol. Astropart. Phys.

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“…This is computed at the linear level in appendix A and the result, in equation (A. 45), shows that the two brackets are not weakly zero. Hence, none of the constraintsR 0 , C or C (2) is first class.…”

Section: First Class Constraints In Bimetric Theorymentioning

confidence: 97%

Analysis of constraints and their algebra in bimetric theory

Hassan

Lundkvist

2018

J. High Energ. Phys.

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We perform a canonical analysis of the bimetric theory in the metric formulation, computing the constraints and their algebra explicitly. In particular, we compute a secondary constraint, that has been argued to exist earlier, and show that it has the correct form to eliminate the ghost. We also identify a set of four first class constraints that generate the algebra of general covariance. The covariance algebra naturally determines a spacetime metric for the theory. However, in bimetric theory, this metric is not unique but depends on how the first class constraints are identified.

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“…Remarkably some of these restrictions survive under a weaker set of assumptions. For example, without assuming Lorentz invariance (while maintaining space diffs), demanding ghost-freedom or more precisely only 2 propagating modes, one is led inevitably back to the Einstein-Hilbert action [9,10].…”

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confidence: 99%

New kinetic terms for massive gravity and multi-gravity: a no-go in vielbein form

Rham¹,

Matas²,

Tolley³

2015

Class. Quantum Grav.

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Abstract. 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 and are intrinsic to the vielbein formulation. These new degrees of freedom are associated with the Lorentz transformations which encode the additional variables contained in the vielbein over the metric. Although they are not guaranteed to be ghostly, they are nevertheless infinitely strongly coupled on Minkowski spacetime and are not part of the spin-2 multiplet. Hence their existence implies the uniqueness of the Einstein-Hilbert term as the kinetic term for a massive graviton.

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Spatially covariant theories of a transverse, traceless graviton: Formalism

Cited by 27 publications

References 123 publications

Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity

Minimally modified theories of gravity: a playground for testing the uniqueness of general relativity

Analysis of constraints and their algebra in bimetric theory

New kinetic terms for massive gravity and multi-gravity: a no-go in vielbein form

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