Cosmological behavior in extended nonlinear massive gravity

Abstract

We perform a detailed dynamical analysis of various cosmological scenarios in extended (varying-mass) nonlinear massive gravity. Due to the enhanced freedom in choosing the involved free functions, this cosmological paradigm allows for a huge variety of solutions that can attract the universe at late times, comparing to scalar-field cosmology or usual nonlinear massive gravity. Amongst others, it accepts quintessence, phantom, or cosmological-constant-like late-time solutions, which moreover can alleviate the coincidence problem. These features seem to be general and non-sensitive to the imposed ansantzes and model parameters, and thus extended nonlinear massive gravity can be a good candidate for the description of nature.

41 pages, 6 figures, 12 Tables, minor changes, version pubished in Class.Quant.Grav

References in corpus (15)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Resummation of Massive Gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Self-accelerating Massive Gravity: Exact solutions for any isotropic matter distribution
• Exact self-accelerating cosmologies in the ghost-free bigravity and massive gravity
• Exact self-accelerating cosmologies in the ghost-free massive gravity -- the detailed derivation
• Degrees of Freedom in Massive Gravity
• Massive gravity from bimetric gravity
• Ghost-free $F(R)$ bigravity and accelerating cosmology
• A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
• Dynamics of a scalar field in Robertson-Walker spacetimes
• Cosmology and perturbations in massive gravity
• Self-accelerating solutions in massive gravity on an isotropic reference metric

Cited by in corpus (78)

• f(T) teleparallel gravity and cosmology
• Massive Gravity
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Dynamical behavior in mimetic F(R) gravity
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• Trace-anomaly driven inflation in $f(T)$ gravity and in minimal massive bigravity
• Cosmological dynamics of mimetic gravity
• Dynamics of an Interacting Barrow Holographic Dark Energy Model and its Thermodynamic Implications
• Bimetric gravity doubly coupled to matter: theory and cosmological implications
• Cosmology from quantum potential
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Black holes in massive gravity as heat engines
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Cosmological Perturbations in Extended Massive Gravity
• Cosmology of the proxy theory to massive gravity
• Dark matter and dark energy from Bose-Einstein condensate
• Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
• Primordial Gravitational Wave Signals in Modified Cosmologies
• Linear growth of structure in massive bigravity
• Generalized Emergent Dark Energy: observational Hubble data constraints and stability analysis
• Generalized quasi-dilaton theory
• On the possibility of blue tensor spectrum within single field inflation
• Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
• Cosmological investigations of (extended) nonlinear massive gravity schemes with non-minimal coupling
• White dwarfs in de Rham-Gabadadze-Tolley like massive gravity
• Falsifying cosmological models based on a non-linear electrodynamics
• Unified universe history through phantom extended Chaplygin gas
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Unification of DE-DM from Diffusive Cosmology
• Some remarks about non-minimally coupled scalar field models
• Stable FLRW solutions in Generalized Massive Gravity
• $F(R)$ nonlinear massive theories of gravity and their cosmological implications
• Black holes in dRGT massive gravity with the signature of EHT observations of M87*
• Cosmology of F(R) nonlinear massive gravity
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Qualitative analysis of Kantowski-Sachs metric in a generic class of $f(R)$ models
• Background evolution and growth of structures in interacting dark energy through dynamical system analysis
• Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
• Dark energy and dark matter unification from dynamical space time: observational constraints and cosmological implications
• Novel relations in massive gravity at Hawking-Page transition
• Cosmology and Stability in Scalar-Tensor bigravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Stability analysis of f(Q) gravity models using dynamical systems
• Cosmological dynamics of the general non-canonical scalar field models
• Phase space analysis of the bouncing universe with stringy effects
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• Cutoff for Extensions of Massive Gravity and Bi-Gravity
• Time-averaging axion-like interacting scalar fields models
• Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
• Einstein static universe on the brane supported by extended Chaplygin gas
• Emergent Universe in the Braneworld Scenario
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Stability of a modified Jordan-Brans-Dicke theory in the dilatonic frame
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• Extending applicability of bimetric theory: chameleon bigravity
• Coleman-de Luccia instanton in dRGT massive gravity
• Black String in Massive Gravity
• Emergent Cosmos in Einstein-Cartan Theory
• Cosmology in time asymmetric extensions of general relativity
• Critical Heat Engines in Massive Gravity
• $\Lambda$CDM as a Noether Symmetry in Cosmology
• Dynamical System of Scalar Field from 2-Dimension to 3-D and its Cosmological Implication
• Renormalizable toy model of massive spin two field and new bigravity
• New massive spin two model on curved space-time
• Effective dark energy through spin-gravity coupling
• Scalar field evolution at background and perturbation levels for a broad class of potentials
• Static spheres and Aschenbach effect for black holes in massive gravity
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• On scale-free extensions of massive (bi-)gravity
• Dynamical analysis of Brans-Dicke Universe with inverse power-law effective potential
• Holographic Ricci DE as running vacuum with nonlinear interactions
• A dynamical systems perspective on the thermodynamics of late-time cosmology
• Anisotropic Spacetimes in Chiral Scalar Field Cosmology
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences
• Topological charge and black hole photon spheres in massive gravity