<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi></mml:math>-Dominance of Gravity

Isham, C. J.; Salam, Abdus; Strathdee, J.

doi:10.1103/physrevd.3.867

Cited by 335 publications

(375 citation statements)

References 8 publications

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“…An important restriction is that the standard minimal couplings of g GR to matter, demanded by the weak equivalence principle, should also be ghost-free. A first guess for g GR , one suggested as far back as [2], is the nonlinear extension of the massless mode δG µν . But to explicitly check if this allows for ghost-free matter couplings, one needs an explicit nonlinear expression for it in terms of g and f .…”

Section: Issues Considered and Summary Of Resultsmentioning

confidence: 99%

“…It turns out that the "decoupling limit", wielded powerfully in [22,35], is not adequate to address these situations, despite some claims to the contrary in [37] and some of its citations. 2 2 The decoupling limit analysis does not extend beyond the decoupling limit for two obvious reasons: (1) It involves working with Stückelberg fields φ a , introduced via fµν = ∂µφ a ∂νφ b η ab , rather than with the metric gµν. The φ a mix only with the 4 "gauge" modes of gµν under coordinate transformations and learn about the potential BD ghost through them.…”

Section: Background To Bimetric Theoriesmentioning

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%

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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: Issues Considered and Summary Of Resultsmentioning

confidence: 99%

Section: Background To Bimetric Theoriesmentioning

confidence: 99%

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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 is appealing to complete the theory by including dynamics for f µν [11,12]. That this can be done consistently in the context of bi-metric theories of gravity will be demonstrated in an accompanying work [29].…”

Section: Dynamical Reference Metricmentioning

confidence: 99%

“…A third motivation is that, from a theoretical standpoint, it is more satisfying to promote f µν to a dynamical field with its own kinetic term than to have a "frozen-in" reference metric. The resulting theory would resemble the bi-metric construction of [11,12]. For a dynamical f µν to be consistent, it is important to first verify that the mass term which was ghost free for flat f µν remains so for a general f µν .…”

Section: Introductionmentioning

confidence: 99%

Ghost-free massive gravity with a general reference metric

Hassan

Rosen

Schmidt-May

2012

J. High Energ. Phys.

435

527

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Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a flat reference metric, were proposed and shown to be ghost free at the complete non-linear level. In this paper we consider these non-linear massive gravity actions but now formulated with a general reference metric. We extend the proof of the absence of the Boulware-Deser ghost to this case. The analysis is carried out in the ADM formalism at the complete non-linear level. We show that in these models there always exists a Hamiltonian constraint which, with an associated secondary constraint, eliminates the ghost. This result considerably extends the range of known consistent non-linear massive gravity theories. In addition, these theories can also be used to describe a massive spin-2 field in an arbitrary, fixed gravitational background. We also discuss the positivity of the Hamiltonian.

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Evolution of Density Parameters on a Smooth Embedded Universe

Capistrano

2017

Annalen der Physik

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In this paper we examine the evolution of cosmic density parameters in a four-dimensional space-time embedded in a five-dimensional bulk space. We show that the extrinsic curvature is an independent spin-2 field governed by the Gupta equations. Without evoking a dark energy fluid, the corresponding cosmological model is compared with the phenomenological XCDM model and shows a good concordance with recent cosmological datasets from Planck Collaboration and the latest Baryons Acoustic Oscillations/Cosmic Microwave Background (BAO/CMBR) + SNIa studying the evolution of density parameters. In addition, a discussion on the coincidence problem is also proposed.

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f-Dominance of Gravity

Cited by 335 publications

References 8 publications

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

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

Ghost-free massive gravity with a general reference metric

Evolution of Density Parameters on a Smooth Embedded Universe

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