Infrared-modified gravities and massive gravitons

Рубаков, Валерий А.; Tinyakov, P.

doi:10.1070/pu2008v051n08abeh006600

Cited by 291 publications

(381 citation statements)

References 133 publications

Supporting

Mentioning

366

Contrasting

Unclassified

Order By: Relevance

“…Massive gravity in 4-dimensional spacetimes have been intensively studied recently, see, for example, [43] and references therein). Then, it can be shown that the equation for the metric perturbation ψ k in the Minkowski background reads, ψ k + ω 2 k ψ k = 0, but now with…”

Section: Discussionmentioning

confidence: 99%

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Wang

2011

Phys. Rev. D

View full text Add to dashboard Cite

In this paper, we consider two different issues, stability and strong coupling, raised lately in the newly-proposed Horava-Lifshitz (HL) theory of quantum gravity with projectability condition. We find that all the scalar modes are stable in the de Sitter background, due to two different kinds of effects, one from high-order derivatives of the spacetime curvature, and the other from the exponential expansion of the de Sitter space. Combining these effects properly, one can make the instability found in the Minkowski background never appear even for small-scale modes, provided that the IR limit is sufficiently closed to the relativistic fixed point. At the fixed point, all the modes become stabilized. We also show that the instability of Minkowski spacetime can be cured by introducing mass to the spin-0 graviton. The strong coupling problem is investigated following the effective field theory approach, and found that it cannot be cured by the Blas-Pujolas-Sibiryakov mechanism, initially designed for the case without projectability condition, but might be circumvented by the Vainshtein mechanism, due to the non-linear effects. In fact, we construct a class of exact solutions, and show explicitly that it reduces smoothly to the de Sitter spacetime in the relativistic limit.PACS numbers: 98.80.Cq; 98.80.Bp

show abstract

Section: Discussionmentioning

confidence: 99%

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Wang

2011

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Further, it has been realized that the dRGT construction opens the door to building theories with multiple interacting spin-2 particles [655,658]. In what follows, we will consider Lorentz invariant theories of massive gravity, but much work has been done on Lorentz violating theories [659][660][661][662][663][664][665][666][667][668][669][670][671][672][673][674].…”

Section: A Brief History Of Massive Gravitymentioning

confidence: 99%

Beyond the cosmological standard model

et al. 2015

View full text Add to dashboard Cite

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.

show abstract

“…We call such theories as the massive gravity or the bimetric gravity following N. Rosen [1]. Recently they have got a revival [30,31,32,33]. Given metric f µν and embedding variables e α (t, x k ) we are to treat N(t, x k ), N i (t, x k ), η ij (t, x k ) as the known functions.…”

Section: Hamiltonian Approach To Massive Gravitymentioning

confidence: 99%

Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Soloviev

Tchichikina

2013

Phys. Rev. D

View full text Add to dashboard Cite

It is proved, that, in order to avoid the ghost mode in bigravity theory, it is sufficient to impose four conditions on the potential of interaction of the two metrics. First, the potential should allow its expression as a function of components of the two metrics' 3+1-decomposition. Second, the potential must satisfy the first order linear differential equations which are necessary for the presence of four first class constraints in bigravity. Third, the potential should be a solution of the Monge-Ampère equation, where the lapse and shift are considered as variables. Fourth, the potential must have a nondegenerate Hessian in the shift variables. The proof is based on the explicit derivation of the Hamiltonian constraints, the construction of Dirac brackets on the base of a part of these constraints, and calculation of other constraints' algebra in these Dirac brackets. As a byproduct, we prove that these conditions are also sufficient in the massive gravity case.

show abstract

Infrared-modified gravities and massive gravitons

Cited by 291 publications

References 133 publications

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity

Beyond the cosmological standard model

Bigravity in Kuchar̆’s Hamiltonian formalism: The special case

Contact Info

Product

Resources

About