Massive gravity with nonminimal coupling

Gümrükçüoğlu, A. Emir; Kimura, Rampei; Koyama, K.

doi:10.1103/physrevd.101.124021

Cited by 18 publications

(9 citation statements)

References 37 publications

(75 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Modified gravity models with nonminimal coupling or higher order covariant actions such as the Horndeski theory [25] can produce a modified friction term [26][27][28][29] which can produce a time dependent Newton's constant for gravitational waves and modify the gravitational wave luminosity distance. So it is possible that GMG with nonminimal coupling [16] could alter the GW luminosity distance with respect to that of light. modifies the expansion rate by Oð10 −2 Þ with respect to LCDM, with the maximum deviation at redshifts z < 1, depending on the value of q.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Cosmic acceleration and growth of structure in massive gravity

2020

Self Cite

View full text Add to dashboard Cite

We introduce a cosmological model in the framework of generalized massive gravity. This theory is an extension of nonlinear massive gravity with a broken translation symmetry in the Stückelberg space. In a recent work, we showed the existence of cosmological solutions stable against linear perturbations. In the present paper, we build up on the previous result and study the evolution of the background solutions and the linear perturbations. At the background level, we find that the mass terms act like a fluid with time dependent equation of state w < −1 at late times. At linear order, we derive the Poisson's equation. We find that the scalar graviton mode invokes anisotropic stress, which brings a modification with respect to Lambda Cold Dark Matter (LCDM) in the effective Newton's constant and the growth rate of matter perturbations. Moreover, we study the propagation of gravitational waves and find that the tensor modes acquire a time dependent mass.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Moreover, GMG has been extended to a general theory class in Ref. [16], including nonminimal couplings. Finally, relaxing the dRGT constraint to be valid only within the range of the effective field theory, we expect that disformal couplings to matter can be allowed [30].…”

Section: Discussionmentioning

confidence: 99%

Cosmic acceleration and growth of structure in massive gravity

2020

Self Cite

View full text Add to dashboard Cite

show abstract

“…κ = −|K|. The choice of the open universe solution is imposed by the appearance of φ a φ a in the GMG potential which only allows homogeneous and isotropic solutions with negative curvature [24].…”

Section: Jcap09(2021)023mentioning

confidence: 99%

“…In this setup, the translation invariance in the field space is broken by promoting the theory parameters to functions of the field-space invariant η ab φ a φ b . This theory is part of a general class of massive gravity theories [24] and provides stable cosmologies where all 5 graviton polarisations propagate [25]. In the context of a minimal proof-of-principle model where only one of the free parameters of dRGT varies, ref.…”

Section: Introductionmentioning

confidence: 99%

Vainshtein mechanism in Generalised Massive Gravity

Gümrükçüoğlu

Kimura

Kenna-Allison

et al. 2021

J. Cosmol. Astropart. Phys.

Self Cite

View full text Add to dashboard Cite

We present a non-linear analysis of perturbations around cosmological solutions in Generalised Massive gravity. This Lorentz invariant theory is an extension of de Rham, Gabadadze, Tolley massive gravity that propagates 5 degrees of freedom while allowing stable open FLRW cosmologies. For a minimal model that supports a self-accelerating background, we study the dynamics of nonlinear perturbations. We find that the equation for the scalar graviton is distinct from the analogues in Horndeski and DHOST theories. We numerically solve the equation to find a new type of nonlinear solution for the scalar mode, and confirm the presence of a Vainshtein screening mechanism. We show that the PPN parameter approaches its GR value at solar system scales and satisfies the current bounds.

show abstract

“…This instability can nevertheless be cured by carefully choosing the hierarchy of Planck scales [11] or by adding a chameleon-like potential [12,13]. Apart from bigravity, the search for "beyond-dRGT" models is still very active, and we can cite for example the "Generalized Massive Gravity" framework [14][15][16][17], where the mass parameters are promoted to functions of the Stueckelberg fields.…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Minimal Theory of Bigravity: construction and cosmology

De Felice,

Larrouturou,

Mukohyama

et al. 2020

Preprint

View full text Add to dashboard Cite

Following the path of minimalism in alternative theories of gravity, we construct the "Minimal Theory of Bigravity" (MTBG), a theory of two interacting spin-2 fields that propagates only four local degrees of freedom instead of the usual seven ones and that allows for the same homogeneous and isotropic cosmological solutions as in Hassan-Rosen bigravity (HRBG). Starting from a precursor theory that propagates six local degrees of freedom, we carefully choose additional constraints to eliminate two of them to construct the theory. Investigating the cosmology of MTBG, we find that it accommodates two different branches of homogeneous and isotropic background solutions, equivalent on-shell to the two branches that are present in HRBG. Those branches in MTBG differ however from the HRBG ones at the perturbative level, are both perfectly healthy and do not exhibit strong coupling issues nor ghost instabilities. In the so-called self-accelerating branch, characterized by the presence of an effective cosmological constant, the scalar and vector sectors are the same as in General Relativity (GR). In the so-called normal branch, the scalar sector exhibits non-trivial phenomenology, while its vector sector remains the same as in GR. In both branches, the tensor sector exhibits the usual HRBG features: an effective mass term and oscillations of the gravitons. Therefore MTBG provides a stable nonlinear completion of the cosmology in HRBG.

show abstract

Massive gravity with nonminimal coupling

Cited by 18 publications

References 37 publications

Cosmic acceleration and growth of structure in massive gravity

Cosmic acceleration and growth of structure in massive gravity

Vainshtein mechanism in Generalised Massive Gravity

Minimal Theory of Bigravity: construction and cosmology

Contact Info

Product

Resources

About