Equations of motion for massive spin 2 field coupled to gravity

Buchbinder, I. L.; Гитман, Д. М.; Krykhtin, V.A.; Pershin, V. D.

doi:10.1016/s0550-3213(00)00389-8

Cited by 120 publications

(146 citation statements)

References 72 publications

(84 reference statements)

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“…Fluctuations around this background are the massive modes δM (3.7) with a Fierz-Pauli mass term. 8 The condition gS = S T g implies that S µ ν and g µν are not independent fields, whereas M µν and g µν can be regarded as independent.…”

Section: The Nonlinear Massive Spin-2 Field Mmentioning

confidence: 99%

See 1 more Smart Citation

On consistent theories of massive spin-2 fields coupled to gravity

Hassan

Schmidt-May

Strauss

2013

J. High Energ. Phys.

125

177

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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 from general relativity. To this end, we first consider the most general bimetric backgrounds for which a massless and a massive spin-2 fluctuation exist, and we compute the most general expression for the Fierz-Pauli mass. These backgrounds coincide with solutions in general relativity. Based on this, we obtain nonlinear extensions of the massive and massless spin-2 fields. The background value of the nonlinear massive field parameterizes generic deviations of the bimetric theory from GR. It is also shown that the most natural nonlinear massless field does not have standard ghost-free matter couplings, and hence cannot represent the gravitational metric. However, an appropriate gravitational metric can still be identified in the weak gravity limit. Hence in the presence of other neutral spin-2 fields, the weak gravity limit is crucial for compatibility with general relativity. We also write down the action in terms of the nonlinear massive spin-2 field and obtain its ghost-free couplings to matter. The discussion is then generalized to multimetric theories.

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Section: The Nonlinear Massive Spin-2 Field Mmentioning

confidence: 99%

“…Theories of interacting spin-2 fields have been considered over many years with various motivations, for example, in [1][2][3][4][5][6], or more recently in [7][8][9][10][11][12][13][14][15]. Often, these are formulated in terms of two metrics, g µν and f µν , with non-derivative interactions.…”

Section: Introduction Motivation and Summarymentioning

confidence: 99%

On consistent theories of massive spin-2 fields coupled to gravity

Hassan

Schmidt-May

Strauss

2013

J. High Energ. Phys.

125

177

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“…It would also be interesting to compare these results with other results on higher spin interactions in curved space [7,8,9,10,11,12].…”

Section: Discussionmentioning

confidence: 87%

Loop Variables and the Interacting Open String in a Curved Background

Sathiapalan

2005

Mod. Phys. Lett. A

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Applying the loop variable proposal to a sigma model (with boundary) in a curved target space, we give a systematic method for writing the gauge and generally covariant interacting equations of motion for the modes of the open string in a curved background. As in the free case described in an earlier paper, the equations are obtained by covariantizing the flat space (gauge invariant) interacting equations and then demanding gauge invariance in the curved background. The resulting equation has the form of a sum of terms that would individually be gauge invariant in flat space or at zero interaction strength, but mix amongst themselves in curved space when interactions are turned on. The new feature is that the loop variables are deformed so that there is a mixing of modes. Unlike the free case, the equations are coupled, and all the modes of the open string are required for gauge invariance.

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“…Allowing generic curved backgrounds introduces various inconsistencies. Firstly, introducing general curvatures R µν # = [D µ , D ν ] can destroy the gauge invariances or constraints which ensured the correct physical degree of freedom count of maximally symmetric backgrounds [4,5]. Secondly, even in benign backgrounds ensuring correct degrees of freedom, signals may propagate at superluminal speeds [6,7] In this Article we display a simple mechanism for maintaining the gauge invariances of higher spins in a broad class of gravitational backgrounds.…”

Section: Introductionmentioning

confidence: 99%

Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex

2007

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Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein) consistently at the classical level. The model is the simplest example of a Yang-Mills detour complex, which recently has been applied in the mathematical setting of conformal geometry. An analysis of asymptotic scattering states about the trivial field theory vacuum in the simplest version of the theory yields a rich spectrum marred by negative norm excitations. The result is a theory of a physical massless graviton, scalar field, and massive vector along with a degenerate pair of zero norm photon excitations. Coherent states of the unstable sector of the model do have positive norms, but their evolution is no longer unitary and their amplitudes grow with time. The model is of considerable interest for braneworld scenarios and ghost condensation models, and invariant theory.

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Equations of motion for massive spin 2 field coupled to gravity

Cited by 120 publications

References 72 publications

On consistent theories of massive spin-2 fields coupled to gravity

On consistent theories of massive spin-2 fields coupled to gravity

Loop Variables and the Interacting Open String in a Curved Background

Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex

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