Cosmological dynamics of mimetic gravity

@article{Dutta2017CosmologicalDO,
  title={Cosmological dynamics of mimetic gravity},
  author={Jibitesh Dutta and Wompherdeiki Khyllep and Emmanuel N. Saridakis and Nicola Tamanini and Sunny Vagnozzi},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2017}
}
We present a detailed investigation of the dynamical behavior of mimetic gravity with a general potential for the mimetic scalar field. Performing a phase-space and stability analysis, we show that the scenario at hand can successfully describe the thermal history of the universe, namely the successive sequence of radiation, matter, and dark-energy eras. Additionally, at late times the universe can either approach a de Sitter solution, or a scaling accelerated attractor where the dark-matter… Expand

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References

SHOWING 1-10 OF 159 REFERENCES
Mimetic Gravity: A Review of Recent Developments and Applications to Cosmology and Astrophysics
Mimetic gravity is a Weyl-symmetric extension of General Relativity, related to the latter by a singular disformal transformation, wherein the appearance of a dust-like perfect fluid can mimic coldExpand
Dark energy with a gradient coupling to the dark matter fluid: cosmological dynamics and structure formation
We consider scalar field models of dark energy interacting with dark matter through a coupling proportional to the contraction of the four-derivative of the scalar field with the four-velocity of theExpand
Dynamical behavior in mimetic F(R) gravity
We investigate the cosmological behavior of mimetic F(R) gravity. This scenario is the F(R) extension of usual mimetic gravity classes, which are based on re-parametrizations of the metric using new,Expand
Phase-space analysis of teleparallel dark energy
We perform a detailed dynamical analysis of the teleparallel dark energy scenario, which is based on the teleparallel equivalent of General Relativity, in which one adds a canonical scalar field,Expand
Braneworld Mimetic Cosmology
Abstract We extend the idea of mimetic gravity to a Randall–Sundrum II braneworld model. As for the 4-dimensional mimetic gravity, we isolate the conformal degree of freedom of 5-dimensional gravityExpand
Late-time cosmological approach in mimetic f(R, T) gravity
In this paper, we investigate the late-time cosmic acceleration in mimetic f(R, T) gravity with the Lagrange multiplier and potential in a Universe containing, besides radiation and dark energy, aExpand
Dynamics of dark energy
We review in detail a number of approaches that have been adopted to try and explain the remarkable observation of our accelerating universe. In particular we discuss the arguments for and recentExpand
Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
The recent observation of the the gravitational wave event GW170817 and of its electromagnetic counterpart GRB170817A, from a binary neutron star merger, has established that the speed ofExpand
Imperfect Dark Matter
We consider cosmology of the recently introduced mimetic matter with higher derivatives (HD). Without HD this system describes irrotational dust - Dark Matter (DM) as we see it on cosmologicallyExpand
Dynamical systems applied to cosmology: dark energy and modified gravity
Abstract The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our Universe put into sharp focus the need of a consistent theoretical model to explain the origin of thisExpand
...
1
2
3
4
5
...