Cosmic acceleration and growth of structure in massive gravity

Kenna-Allison, Michael; Gümrükçüoğlu, A. Emir; Koyama, K.

doi:10.1103/physrevd.102.103524

Cited by 15 publications

(21 citation statements)

References 31 publications

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“…In GMG, the behaviour of linear perturbations are modified with respect to GR when the mass term dominates the expansion. Furthermore, the growth of structure is enhanced due to the propagation of the additional scalar mode and the tensor modes acquire a time-dependent mass [26].…”

Section: Discussionmentioning

confidence: 99%

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Vainshtein mechanism in Generalised Massive Gravity

Gümrükçüoğlu

Kimura

Kenna-Allison

et al. 2021

J. Cosmol. Astropart. Phys.

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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.

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Section: Discussionmentioning

confidence: 99%

“…For concreteness, we fix the mass functions α n (φ a φ a ) according to the minimal model of Ref. [26], where only α 2 is non-constant and varies linearly,…”

Section: A Assumptions and Approximationsmentioning

confidence: 99%

Vainshtein mechanism in Generalised Massive Gravity

Gümrükçüoğlu

Kimura

Kenna-Allison

et al. 2021

J. Cosmol. Astropart. Phys.

Self Cite

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“…In massive gravity, the scalar mode typically induces a fifth force comparable to the Newtonian force. In the case of the GMG theory, this can be seen, for example, in the effective gravitational coupling in the evolution equation for the matter perturbation [23]. Although modified gravity theories requires a screening mechanism to hide the fifth force in order to satisfy various observations on small scales such as solar-system [24], massive gravity originally possess the Vainshtein mechanism [25] as a solution of the vDVZ discontinuity [26,27].…”

Section: Introductionmentioning

confidence: 99%

Viable massive gravity without nonlinear screening

Manita¹,

Panpanich²,

Kimura³

2023

Preprint

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We study nonlinear effects of perturbations around a cosmological background in projected massive gravity, which admits self-accelerating solutions in an open FLRW universe. Using the zerocurvature scaling limit, we derive nonlinear equations containing all the relevant terms on subhorizon scales. We find that the solution for a scalar graviton vanishes completely for all scales, which agrees with the linear perturbation analysis in the previous study. In addition, the effects on the gravitational potential due to the next order perturbation are strongly suppressed within the horizon. Therefore, a screening mechanism is no longer needed for consistency with solar-system experiments in the projected massive gravity.

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“…[36], and in this paper, the effective mass of gravitational waves has been found. Moreover, the new extension of massive gravity theory has been introduced by breaking the translation symmetry in the Stueckelberg space [37]. The perturbation analysis and the propagation of gravitational waves have been studied in the paper as well.…”

Section: Introductionmentioning

confidence: 99%

Cosmological aspects of cubic Galileon massive gravity

Aslmarand,

Akbarieh,

Izadi

et al. 2021

Preprint

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Cubic Galileon massive gravity is a development of de Rham-Gabadadze-Tolley (dRGT) massive gravity theory in which the space of the Stueckelberg field is broken. We consider the cubic Galileon term as a scalar field coupled to the graviton field. We present a detailed study of the cosmological aspects of this theory of gravity. We analyze self-accelerating solutions of the background equations of motion to explain the accelerated expansion of the Universe. Exploiting the latest Union2 Type Ia Supernovae (SNIa) dataset, which consists of 557 SNIa, we show that cubic Galileon massive gravity theory is consistent with the observations. We also examine the tensor perturbations within the framework of this model and find an expression for the dispersion relation of gravitational waves, and show that it is consistent with the observational results.

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Cosmic acceleration and growth of structure in massive gravity

Cited by 15 publications

References 31 publications

Vainshtein mechanism in Generalised Massive Gravity

Vainshtein mechanism in Generalised Massive Gravity

Viable massive gravity without nonlinear screening

Cosmological aspects of cubic Galileon massive gravity

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