On the Hamiltonian analysis of non-linear massive gravity

Golovnev, Alexey

doi:10.1016/j.physletb.2011.12.064

Cited by 74 publications

(76 citation statements)

References 27 publications

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“…However, it has been clearly demonstrated that the full nonlinear theory is free of the Boulware-Deser ghost to all orders beyond the decoupling limit. This has been shown by various authors both from a direct canonical analysis in ADM variables [634,655,[696][697][698][699][700] and in the Stückelberg and helicity language [701][702][703][704]. While this guarantees that the theory propagates only 5 degrees of freedom, even non-linearly, it nevertheless remains possible for one or more of these 5 physical modes to become ghostly around particular backgrounds, providing further constraints on the theory.…”

Section: Freedom From Ghostsmentioning

confidence: 82%

Beyond the cosmological standard model

et al. 2015

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After a decade and a half of research motivated by the accelerating universe, theory and experiment have a reached a certain level of maturity. The development of theoretical models beyond Λ or smooth dark energy, often called modified gravity, has led to broader insights into a path forward, and a host of observational and experimental tests have been developed. In this review we present the current state of the field and describe a framework for anticipating developments in the next decade. We identify the guiding principles for rigorous and consistent modifications of the standard model, and discuss the prospects for empirical tests.We begin by reviewing recent attempts to consistently modify Einstein gravity in the infrared, focusing on the notion that additional degrees of freedom introduced by the modification must "screen" themselves from local tests of gravity. We categorize screening mechanisms into three broad classes: mechanisms which become active in regions of high Newtonian potential, those in which first derivatives of the field become important, and those for which second derivatives of the field are important. Examples of the first class, such as f (R) gravity, employ the familiar chameleon or symmetron mechanisms, whereas examples of the last class are galileon and massive gravity theories, employing the Vainshtein mechanism. In each case, we describe the theories as effective theories and discuss prospects for completion in a more fundamental theory. We describe experimental tests of each class of theories, summarizing laboratory and solar system tests and describing in some detail astrophysical and cosmological tests. Finally, we discuss prospects for future tests which will be sensitive to different signatures of new physics in the gravitational sector.The review is structured so that those parts that are more relevant to theorists vs. observers/experimentalists are clearly indicated, in the hope that this will serve as a useful reference for both audiences, as well as helping those interested in bridging the gap between them.

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Section: Freedom From Ghostsmentioning

confidence: 82%

Beyond the cosmological standard model

et al. 2015

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“…This action also resembles the Polyakov action to some extent. Expressions similar to Lagrangian (A.5), with gravitons activated, have been utilized to re-confirm the absence of the BD ghost in ghost-free massive gravity [50,51]. Further integrating out λ ρσ , we arrive at To quadratic order in fluctuations, we then have…”

Section: Jhep04(2016)188mentioning

confidence: 99%

The Λ2 limit of massive gravity

Rham

Tolley

Zhou

2016

J. High Energ. Phys.

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Lorentz-invariant massive gravity is usually associated with a strong coupling scale Λ 3 . By including non-trivial effects from the Stückelberg modes, we show that about these vacua, one can push the strong coupling scale to higher values and evade the linear vDVZ-discontinuity. For generic parameters of the theory and generic vacua for the Stückelberg fields, the Λ 2 -decoupling limit of the theory is well-behaved and free of any ghost or gradient-like instabilities. We also discuss the implications for nonlinear sigma models with Lorentzian target spaces.

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“…However, there is a direction in space of these variables along which there is no restriction at this level of Hamiltonian analysis [9]. It signals a spatial sector constraint.…”

Section: Non-perturbative Definition and Analysismentioning

confidence: 99%

On non-perturbative analysis of massive and bimetric gravity

Golovnev

2014

AIP Conference Proceedings

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This is my contribution to Proceedings of II Russian-Spanish Congress on Particle and Nuclear Physics at all Scales and Cosmology, Saint Petersburg, Russia, October 1 - 4, 2013. We give a brief overview of the ghost-free massive and bimetric gravity emphasising its non-perturbative aspects and ADM approach to calculating the precise number of degrees of freedom. To the standard material, we add some thoughts concerning existence and uniqueness problems of matrix square roots in non-perturbative metric formulations of massive gravity.Comment: 5 pages; prepared for the Proceedings of II Russian-Spanish Congress on Particle and Nuclear Physics at all Scales and Cosmolog

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On the Hamiltonian analysis of non-linear massive gravity

Cited by 74 publications

References 27 publications

Beyond the cosmological standard model

Beyond the cosmological standard model

The Λ2 limit of massive gravity

On non-perturbative analysis of massive and bimetric gravity

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