Built on

E. J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy , Int. J. Mod. Phys. D15
1936
Earlier work this paper cites.
S. Weinberg, The Cosmological Constant Problem , Rev. Mod. Phys. 61
1989
Earlier work this paper cites.
J. D. Bekenstein, The Relation between physical and gravitational geometry , Phys. Rev. D48
1993
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle and D. Wands, Exponential potentials and cosmological scaling solutions , Phys. Rev. D57
1998
Earlier work this paper cites.
Supernova Cosmology Project
1999
Earlier work this paper cites.
L. Amendola, Coupled quintessence , Phys. Rev. D62
2000
Earlier work this paper cites.
V. Sahni, The Cosmological constant problem and quintessence , Class. Quant. Grav. 91
2002
Earlier work this paper cites.
Kluwer, Dordrecht, Netherlands, 2003, 10.1007/978-94-017-0327-7
A. A. Coley, Dynamical systems and cosmology , vol. 291 · 2003
Earlier work this paper cites.
G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints , Phys. Rept. 405
2005
Earlier work this paper cites.
S. Carloni, P. K. S. Dunsby, S. Capozziello and A. Troisi, Cosmological dynamics of R**n gravity , Class. Quant. Grav. 22
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy , eConf C0602061
2006
Earlier work this paper cites.
S. Carloni, S. Capozziello, J. A. Leach and P. K. S. Dunsby, Cosmological dynamics of scalar-tensor gravity , Class. Quant. Grav. 25
2008
Earlier work this paper cites.
M. Quartin, M. O. Calvao, S. E. Joras, R. R. R. Reis and I. Waga, Dark Interactions and Cosmological Fine-Tuning , JCAP 0805
Original
2008
Earlier work this paper cites.
N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer and N. Weiner, A Theory of Dark Matter , Phys. Rev. D79
Original
2009
Earlier work this paper cites.
G. Leon and E. N. Saridakis, Phase-space analysis of Horava-Lifshitz cosmology , JCAP 0911
Original
2009
Earlier work this paper cites.
Y.-F. Cai, E. N. Saridakis, M. R. Setare and J.-Q. Xia, Quintom Cosmology: Theoretical implications and observations , Phys. Rept. 493
Original
2010
Earlier work this paper cites.
S. Tsujikawa, Modified gravity models of dark energy , Lect. Notes Phys. 800
Original
2010
Earlier work this paper cites.
E. A. Lim, I. Sawicki and A. Vikman, Dust of Dark Energy , JCAP 1005
Original
2010
Earlier work this paper cites.
S. Capozziello, J. Matsumoto, S. Nojiri and S. D. Odintsov, Dark energy from modified gravity with Lagrange multipliers , Phys. Lett. B693
Original
2010
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models , Phys. Rept. 505
Original
2011
Earlier work this paper cites.
S. Capozziello and M. De Laurentis, Extended Theories of Gravity , Phys. Rept. 509
Original
2011
Earlier work this paper cites.
C. Gao, Y. Gong, X. Wang and X. Chen, Cosmological models with Lagrange Multiplier Field , Phys. Lett. B702
Original
2011
Earlier work this paper cites.
LAP Lambert Academic Publishing, 2012
G. Leon and C. R. Fadragas, Cosmological dynamical systems · 2012
Earlier work this paper cites.
C. Xu, E. N. Saridakis and G. Leon, Phase-Space analysis of Teleparallel Dark Energy , JCAP 1207
Original
2012
Earlier work this paper cites.
F. Y. Cyr-Racine and K. Sigurdson, Cosmology of atomic dark matter , Phys. Rev. D87
Original
2013
Earlier work this paper cites.
A. H. Chamseddine and V. Mukhanov, Mimetic Dark Matter , JHEP 11
Original
2013
Earlier work this paper cites.
G. Leon and E. N. Saridakis, Dynamical analysis of generalized Galileon cosmology , JCAP 1303
Original
2013
Earlier work this paper cites.
G. Leon, J. Saavedra and E. N. Saridakis, Cosmological behavior in extended nonlinear massive gravity , Class. Quant. Grav. 30
Original
2013
Earlier work this paper cites.
K. Petraki, L. Pearce and A. Kusenko, Self-interacting asymmetric dark matter coupled to a light massive dark photon , JCAP 1407
Original
2014
Earlier work this paper cites.
A. O. Barvinsky, Dark matter as a ghost free conformal extension of Einstein theory , JCAP 1401
Original
2014
Earlier work this paper cites.
M. Chaichian, J. Kluson, M. Oksanen and A. Tureanu, Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity , JHEP 12
Original
2014
Earlier work this paper cites.
A. H. Chamseddine, V. Mukhanov and A. Vikman, Cosmology with Mimetic Matter , JCAP 1406
Original
2014
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Mimetic F ⁡ ( R ) F(R) gravity: inflation, dark energy and bounce , Mod. Phys. Lett. A29
Original
2014
Earlier work this paper cites.
D. Momeni, A. Altaibayeva and R. Myrzakulov, New Modified Mimetic Gravity , Int. J. Geom. Meth. Mod. Phys. 11
Original
2014
Earlier work this paper cites.
N. Deruelle and J. Rua, Disformal Transformations, Veiled general relativity and Mimetic Gravity , JCAP 1409
Original
2014
Earlier work this paper cites.
C. G. Boehmer and N. Chan, Dynamical systems in cosmology , 2014, [ 1409.5585 ]
Original
2014
Earlier work this paper cites.
G. Kofinas, G. Leon and E. N. Saridakis, Dynamical behavior in f ⁡ ( T , T G ) f(T,T_{G}) cosmology , Class. Quant. Grav. 31
Original
2014
Earlier work this paper cites.
A. Golovnev, On the recently proposed Mimetic Dark Matter , Phys. Lett. B728
Original
2014
Earlier work this paper cites.
Y. L. Bolotin, A. Kostenko, O. A. Lemets and D. A. Yerokhin, Cosmological Evolution With Interaction Between Dark Energy And Dark Matter , Int. J. Mod. Phys. D24
Original
2014
Earlier work this paper cites.
N. Tamanini, Dynamics of cosmological scalar fields , Phys. Rev. D89
Original
2014
Earlier work this paper cites.

Similar

R. Foot and S. Vagnozzi, Dissipative hidden sector dark matter , Phys. Rev. D91
Original
2015
Cited alongside, same era.
R. Foot and S. Vagnozzi, Diurnal modulation signal from dissipative hidden sector dark matter , Phys. Lett. B748
Original
2015
Cited alongside, same era.
G. Leon and E. N. Saridakis, Dynamical behavior in mimetic F(R) gravity , JCAP 1504
Original
2015
Cited alongside, same era.
D. Momeni, R. Myrzakulov and E. Gudekli, Cosmological viable mimetic f ⁡ ( R ) f(R) and f ⁡ ( R , T ) f(R,T) theories via Noether symmetry , Int. J. Geom. Meth. Mod. Phys. 12
Original
2015
Cited alongside, same era.
A. V. Astashenok, S. D. Odintsov and V. K. Oikonomou, Modified Gauss-Bonnet gravity with the Lagrange multiplier constraint as mimetic theory , Class. Quant. Grav. 32

Then

R. Myrzakulov, L. Sebastiani, S. Vagnozzi and S. Zerbini, Static spherically symmetric solutions in mimetic gravity: rotation curves and wormholes , Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
E. Guendelman, E. Nissimov and S. Pacheva, Unified Dark Energy and Dust Dark Matter Dual to Quadratic Purely Kinetic K-Essence , Eur. Phys. J. C76
Original
2016
Later among the works it cites.
M. Kopp, C. Skordis and D. B. Thomas, Extensive investigation of the generalized dark matter model , Phys. Rev. D94
Original
2016
Later among the works it cites.
M. Ali, V. Husain, S. Rahmati and J. Ziprick, Linearized gravity with matter time , Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
J. Dutta, W. Khyllep and N. Tamanini, Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential , Phys. Rev. D93

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2017

Cosmological dynamics of mimetic gravity

Dutta, Jibitesh, Khyllep, Wompherdeiki, Saridakis, Emmanuel N. et al.

Understand

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 and dark-energy density parameters are of the same order, thus offering an alleviation of the cosmic coincidence problem.
Applying our general analysis to various specific potential choices, including the power-law and the exponential ones, we show that mimetic gravity can be brought into good agreement with the observed behavior of the universe.

Built on

E. J. Copeland, M. Sami and S. Tsujikawa, Dynamics of dark energy , Int. J. Mod. Phys. D15
1936
Earlier work this paper cites.
S. Weinberg, The Cosmological Constant Problem , Rev. Mod. Phys. 61
1989
Earlier work this paper cites.
J. D. Bekenstein, The Relation between physical and gravitational geometry , Phys. Rev. D48
1993
Earlier work this paper cites.
Supernova Search Team
1998
Earlier work this paper cites.
E. J. Copeland, A. R. Liddle and D. Wands, Exponential potentials and cosmological scaling solutions , Phys. Rev. D57
1998
Earlier work this paper cites.
Supernova Cosmology Project
1999
Earlier work this paper cites.
L. Amendola, Coupled quintessence , Phys. Rev. D62
2000
Earlier work this paper cites.
V. Sahni, The Cosmological constant problem and quintessence , Class. Quant. Grav. 91
2002
Earlier work this paper cites.
Kluwer, Dordrecht, Netherlands, 2003, 10.1007/978-94-017-0327-7
A. A. Coley, Dynamical systems and cosmology , vol. 291 · 2003
Earlier work this paper cites.
G. Bertone, D. Hooper and J. Silk, Particle dark matter: Evidence, candidates and constraints , Phys. Rept. 405
2005
Earlier work this paper cites.
S. Carloni, P. K. S. Dunsby, S. Capozziello and A. Troisi, Cosmological dynamics of R**n gravity , Class. Quant. Grav. 22
2005
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy , eConf C0602061
2006
Earlier work this paper cites.
S. Carloni, S. Capozziello, J. A. Leach and P. K. S. Dunsby, Cosmological dynamics of scalar-tensor gravity , Class. Quant. Grav. 25
2008
Earlier work this paper cites.
M. Quartin, M. O. Calvao, S. E. Joras, R. R. R. Reis and I. Waga, Dark Interactions and Cosmological Fine-Tuning , JCAP 0805
Original
2008
Earlier work this paper cites.
N. Arkani-Hamed, D. P. Finkbeiner, T. R. Slatyer and N. Weiner, A Theory of Dark Matter , Phys. Rev. D79
Original
2009
Earlier work this paper cites.
G. Leon and E. N. Saridakis, Phase-space analysis of Horava-Lifshitz cosmology , JCAP 0911
Original
2009
Earlier work this paper cites.
Y.-F. Cai, E. N. Saridakis, M. R. Setare and J.-Q. Xia, Quintom Cosmology: Theoretical implications and observations , Phys. Rept. 493
Original
2010
Earlier work this paper cites.
S. Tsujikawa, Modified gravity models of dark energy , Lect. Notes Phys. 800
Original
2010
Earlier work this paper cites.
E. A. Lim, I. Sawicki and A. Vikman, Dust of Dark Energy , JCAP 1005
Original
2010
Earlier work this paper cites.
S. Capozziello, J. Matsumoto, S. Nojiri and S. D. Odintsov, Dark energy from modified gravity with Lagrange multipliers , Phys. Lett. B693
Original
2010
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models , Phys. Rept. 505
Original
2011
Earlier work this paper cites.
S. Capozziello and M. De Laurentis, Extended Theories of Gravity , Phys. Rept. 509
Original
2011
Earlier work this paper cites.
C. Gao, Y. Gong, X. Wang and X. Chen, Cosmological models with Lagrange Multiplier Field , Phys. Lett. B702
Original
2011
Earlier work this paper cites.
LAP Lambert Academic Publishing, 2012
G. Leon and C. R. Fadragas, Cosmological dynamical systems · 2012
Earlier work this paper cites.
C. Xu, E. N. Saridakis and G. Leon, Phase-Space analysis of Teleparallel Dark Energy , JCAP 1207
Original
2012
Earlier work this paper cites.
F. Y. Cyr-Racine and K. Sigurdson, Cosmology of atomic dark matter , Phys. Rev. D87
Original
2013
Earlier work this paper cites.
A. H. Chamseddine and V. Mukhanov, Mimetic Dark Matter , JHEP 11
Original
2013
Earlier work this paper cites.
G. Leon and E. N. Saridakis, Dynamical analysis of generalized Galileon cosmology , JCAP 1303
Original
2013
Earlier work this paper cites.
G. Leon, J. Saavedra and E. N. Saridakis, Cosmological behavior in extended nonlinear massive gravity , Class. Quant. Grav. 30
Original
2013
Earlier work this paper cites.
K. Petraki, L. Pearce and A. Kusenko, Self-interacting asymmetric dark matter coupled to a light massive dark photon , JCAP 1407
Original
2014
Earlier work this paper cites.
A. O. Barvinsky, Dark matter as a ghost free conformal extension of Einstein theory , JCAP 1401
Original
2014
Earlier work this paper cites.
M. Chaichian, J. Kluson, M. Oksanen and A. Tureanu, Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity , JHEP 12
Original
2014
Earlier work this paper cites.
A. H. Chamseddine, V. Mukhanov and A. Vikman, Cosmology with Mimetic Matter , JCAP 1406
Original
2014
Earlier work this paper cites.
S. Nojiri and S. D. Odintsov, Mimetic F ⁡ ( R ) F(R) gravity: inflation, dark energy and bounce , Mod. Phys. Lett. A29
Original
2014
Earlier work this paper cites.
D. Momeni, A. Altaibayeva and R. Myrzakulov, New Modified Mimetic Gravity , Int. J. Geom. Meth. Mod. Phys. 11
Original
2014
Earlier work this paper cites.
N. Deruelle and J. Rua, Disformal Transformations, Veiled general relativity and Mimetic Gravity , JCAP 1409
Original
2014
Earlier work this paper cites.
C. G. Boehmer and N. Chan, Dynamical systems in cosmology , 2014, [ 1409.5585 ]
Original
2014
Earlier work this paper cites.
G. Kofinas, G. Leon and E. N. Saridakis, Dynamical behavior in f ⁡ ( T , T G ) f(T,T_{G}) cosmology , Class. Quant. Grav. 31
Original
2014
Earlier work this paper cites.
A. Golovnev, On the recently proposed Mimetic Dark Matter , Phys. Lett. B728
Original
2014
Earlier work this paper cites.
Y. L. Bolotin, A. Kostenko, O. A. Lemets and D. A. Yerokhin, Cosmological Evolution With Interaction Between Dark Energy And Dark Matter , Int. J. Mod. Phys. D24
Original
2014
Earlier work this paper cites.
N. Tamanini, Dynamics of cosmological scalar fields , Phys. Rev. D89
Original
2014
Earlier work this paper cites.

Similar

R. Foot and S. Vagnozzi, Dissipative hidden sector dark matter , Phys. Rev. D91
Original
2015
Cited alongside, same era.
R. Foot and S. Vagnozzi, Diurnal modulation signal from dissipative hidden sector dark matter , Phys. Lett. B748
Original
2015
Cited alongside, same era.
G. Leon and E. N. Saridakis, Dynamical behavior in mimetic F(R) gravity , JCAP 1504
Original
2015
Cited alongside, same era.
D. Momeni, R. Myrzakulov and E. Gudekli, Cosmological viable mimetic f ⁡ ( R ) f(R) and f ⁡ ( R , T ) f(R,T) theories via Noether symmetry , Int. J. Geom. Meth. Mod. Phys. 12
Original
2015
Cited alongside, same era.
A. V. Astashenok, S. D. Odintsov and V. K. Oikonomou, Modified Gauss-Bonnet gravity with the Lagrange multiplier constraint as mimetic theory , Class. Quant. Grav. 32

Then

R. Myrzakulov, L. Sebastiani, S. Vagnozzi and S. Zerbini, Static spherically symmetric solutions in mimetic gravity: rotation curves and wormholes , Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
E. Guendelman, E. Nissimov and S. Pacheva, Unified Dark Energy and Dust Dark Matter Dual to Quadratic Purely Kinetic K-Essence , Eur. Phys. J. C76
Original
2016
Later among the works it cites.
M. Kopp, C. Skordis and D. B. Thomas, Extensive investigation of the generalized dark matter model , Phys. Rev. D94
Original
2016
Later among the works it cites.
M. Ali, V. Husain, S. Rahmati and J. Ziprick, Linearized gravity with matter time , Class. Quant. Grav. 33
Original
2016
Later among the works it cites.
J. Dutta, W. Khyllep and N. Tamanini, Cosmological dynamics of scalar fields with kinetic corrections: Beyond the exponential potential , Phys. Rev. D93

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2015

Cited alongside, same era.

R. Myrzakulov, L. Sebastiani and S. Vagnozzi, Inflation in f ⁡ ( R , ϕ ) f(R,\phi) -theories and mimetic gravity scenario , Eur. Phys. J. C75

Original

2015

Cited alongside, same era.

R. Myrzakulov, L. Sebastiani, S. Vagnozzi and S. Zerbini, Mimetic covariant renormalizable gravity , Fund. J. Mod. Phys. 8

Original

2015

Cited alongside, same era.

F. Arroja, N. Bartolo, P. Karmakar and S. Matarrese, The two faces of mimetic Horndeski gravity: disformal transformations and Lagrange multiplier , JCAP 1509

Original

2015

Cited alongside, same era.

L. Mirzagholi and A. Vikman, Imperfect Dark Matter , JCAP 1506

Original

2015

Cited alongside, same era.

S. Ramazanov, Initial Conditions for Imperfect Dark Matter , JCAP 1512

Original

2015

Cited alongside, same era.

J. Matsumoto, S. D. Odintsov and S. V. Sushkov, Cosmological perturbations in a mimetic matter model , Phys. Rev. D91

Original

2015

Cited alongside, same era.

O. Malaeb, Hamiltonian Formulation of Mimetic Gravity , Phys. Rev. D91

Original

2015

Cited alongside, same era.

Original

2016