Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling

Abstract

In this paper we investigate the case of non-minimal coupling in the (extended) nonlinear massive gravity theories. We first consider massive gravity in the Brans-Dicke background such that the graviton mass is replaced by $A^2(\sigma )m$ where $\sigma$ is the Brans-Dicke field and $A(\sigma )$ is conformal coupling and show that there is no viable thermal history of the universe in this case. We then invoke a cubic galileon term as nonlinear completion of the $\sigma$ Lagrangian and show that there is a stable de Sitter solution in this case. However, the de Sitter is blocked by the matter phase which is also a simultaneous attractor of the dynamics. The de Sitter phase can, however, be realized by invoking unnatural fine tunings. We next investigate cosmology of quasi-dilaton nonlinear massive gravity with non-minimal coupling. As a generic feature of the non-minimal coupling, we show that the model exhibits a transient phantom phase which is otherwise impossible. While performing the observational data analysis on the models, we find that a small value of coupling constant is allowed for quasi-dilaton nonlinear massive gravity. For both the cases under consideration, it is observed that we have an effective pressure of matter which comes from the constraint equation. For mass-varying nonlinear massive gravity in the Brans-Dicke background, the effective pressure of matter is non zero which affects the evolution of the Hubble parameter thereby spoiling consistency of the model with data. As for, quasi-dilaton nonlinear massive gravity, the effective pressure of matter can be kept around zero by controlling the coupling constant, the model is shown to be fit well with observations.

21 pages, 13 figures, 6 tables, minor clarifications added, references updated, to appear in PRD

References in corpus (26)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Resummation of Massive Gravity
• Baryon Acoustic Oscillations in the Ly-α forest of BOSS quasars
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Cosmic Acceleration and the Helicity-0 Graviton
• Accelerated expansion from ghost-free bigravity: a statistical analysis with improved generality
• Acausality of Massive Gravity
• Quasi-Dilaton: Theory and Cosmology
• Modified gravity a la Galileon: Late time cosmic acceleration and observational constraints
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
• Bimetric gravity doubly coupled to matter: theory and cosmological implications
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Towards consistent extension of quasidilaton massive gravity
• Massive gravity from bimetric gravity
• The Cosmology of Interacting Spin-2 Fields
• Generalized quasi-dilaton theory
• Cosmology and perturbations in massive gravity
• Phantom crossing and quintessence limit in extended nonlinear massive gravity
• Stability of the Self-accelerating Universe in Massive Gravity
• No consistent bimetric gravity?
• Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
• Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation
• Cosmological perturbations of massive gravity coupled to DBI Galileons

Cited by in corpus (35)

• Beyond the Cosmological Standard Model
• Massive Gravity
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Black holes in massive gravity as heat engines
• Neutron stars structure in the context of massive gravity
• In search of the dark matter dark energy interaction: a kinematic approach
• Acceleration of the universe: a reconstruction of the effective equation of state
• White dwarfs in de Rham-Gabadadze-Tolley like massive gravity
• Late time acceleration due to generic modification of gravity and Hubble tension
• An Axially Symmetric Transitioning models with Observational Constraints
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Cosmology of F(R) nonlinear massive gravity
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• Novel relations in massive gravity at Hawking-Page transition
• Reconstruction of interaction rate in Holographic dark energy
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Renormalizable toy model of massive spin two field and new bigravity
• Critical Heat Engines in Massive Gravity
• New massive spin two model on curved space-time
• Derivative couplings in massive bigravity
• Static spheres and Aschenbach effect for black holes in massive gravity
• Tachyon field non-minimally coupled to massive neutrino matter
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Extreme parameter sensitivity in quasidilaton massive gravity
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Structure of $3D$ gravastars in the context of massive gravity
• Phase structure of the $O(2)$ ghost model with higher-order gradient term
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• Cosmic acceleration sourced by modification of gravity without extra degrees of freedom
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Topological charge and black hole photon spheres in massive gravity