Modified gravity and cosmology with nonminimal (derivative) coupling between matter and the Einstein tensor

Abstract

We construct new classes of modified theories in which the matter sector couples with the Einstein tensor, namely we consider direct couplings of the latter to the energy-momentum tensor, and to the derivatives of its trace. We extract the general field equations, which do not contain higher-order derivatives, and we apply them in a cosmological framework, obtaining the Friedmann equations, whose extra terms give rise to an effective dark energy sector. At the background level we show that we can successfully describe the usual thermal history of the universe, with the sequence of matter and dark-energy epochs, while the dark-energy equation-of-state parameter can lie in the phantom regime, tending progressively to $-1$ at present and future times. Furthermore, we confront the theory with Cosmic Chronometer data, showing that the agreement is very good. Finally, we perform a detailed investigation of scalar and tensor perturbations, and extracting an approximate evolution equation for the matter overdensity we show that the predicted behavior is in agreement with observations.

arXiv comment9 pages,4 figures, to appear in Phys. Rev. D

References in corpus (59)

• Dynamics of dark energy
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Essentials of k-essence
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• f(T) teleparallel gravity and cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Dark torsion as the cosmic speed-up
• Non-Gaussianity from Inflation: Theory and Observations
• From k-essence to generalised Galileons
• Extra force in $f(R)$ modified theories of gravity
• Constraining Cosmological Parameters Based on Relative Galaxy Ages
• Quintom Cosmology: Theoretical implications and observations
• Cosmic Growth History and Expansion History
• f(R,L_m) gravity
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Singularity-free cosmological solutions of the superstring effective action
• Cosmological perturbations in f(T) gravity
• Reconstruction of some cosmological models in f(R,T) gravity
• Modified teleparallel theories of gravity
• Thermodynamics in f(R,T) Theory of Gravity
• Nonminimal coupling and quintessence
• "Teleparallel" Dark Energy
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Nonminimal coupling of perfect fluids to curvature
• Hubble Parameter and Baryon Acoustic Oscillation Measurement Constraints on the Hubble Constant, the Deviation from the Spatially-Flat $\Lambda$cdm Model, The Deceleration-Acceleration Transition Redshift, and Spatial Curvature
• Modified gravity with arbitrary coupling between matter and geometry
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Inflation and quintessence with nonminimal coupling
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmology with Nonminimal Derivative Couplings
• Quintessence and phantom cosmology with non-minimal derivative coupling
• f(R,T) Cosmological Models in Phase Space
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Dark Matter From f(R,T) Gravity
• Energy conditions in $f(R,L_m)$ gravity
• Generalized Galileon cosmology
• The acceleration of the universe and the physics behind it
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Observational constraints on viable f(R) parametrizations with geometrical and dynamical probes
• Tracker fields from nonminimally coupled theory
• Consequences of a Cosmic Scalar with Kinetic Coupling to Curvature
• Reconstruction, Thermodynamics and Stability of $\Lambda$CDM Model in $f(T,\mathcal{T})$ Gravity
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• Constraining $f(T,\mathcal{T})$ gravity models using type Ia supernovae
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
• Super-acceleration in non-minimal derivative coupling model
• Growth factor in $f(T,\mathcal{T})$ gravity
• Some remarks about non-minimally coupled scalar field models
• A Perturbative Approach to Neutron Stars in $f(T,\mathcal{T})-$Gravity
• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• The growth index of matter perturbations using the clustering of dark energy

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• Review on the minimally extended varying speed of light model
• The Nature of Dark Energy and Constraints on Its Hypothetical Constituents from Force Measurements
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