Canonical analysis of inhomogeneous Dark Energy Model and theory of limiting curvature

  • Josef KlusoňEmail author
Open Access
Regular Article - Theoretical Physics


This paper is devoted to the canonical analysis of inhomogeneous Dark Energy Model and the model of limiting curvature that were proposed recently by Chamseddine and V. Mukhanov. We argue these models are well defined and have similar properties as a system consisting from general gravity action and action for incoherent dust.


Classical Theories of Gravity Models of Quantum Gravity 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


  1. [1]
    A.H. Chamseddine and V. Mukhanov, Mimetic Dark Matter, JHEP 11 (2013) 135 [arXiv:1308.5410] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    A.O. Barvinsky, Dark matter as a ghost free conformal extension of Einstein theory, JCAP 01 (2014) 014 [arXiv:1311.3111] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  3. [3]
    A.H. Chamseddine, V. Mukhanov and A. Vikman, Cosmology with Mimetic Matter, JCAP 06 (2014) 017 [arXiv:1403.3961] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    L. Sebastiani, S. Vagnozzi and R. Myrzakulov, Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics, arXiv:1612.08661 [INSPIRE].
  5. [5]
    A.H. Chamseddine and V. Mukhanov, Inhomogeneous Dark Energy, JCAP 02 (2016) 040 [arXiv:1601.04941] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar
  6. [6]
    M. Chaichian, J. Kluson, M. Oksanen and A. Tureanu, Mimetic dark matter, ghost instability and a mimetic tensor-vector-scalar gravity, JHEP 12 (2014) 102 [arXiv:1404.4008] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    O. Malaeb, Hamiltonian Formulation of Mimetic Gravity, Phys. Rev. D 91 (2015) 103526 [arXiv:1404.4195] [INSPIRE].ADSGoogle Scholar
  8. [8]
    A.H. Chamseddine and V. Mukhanov, Resolving Cosmological Singularities, arXiv:1612.05860 [INSPIRE].
  9. [9]
    A.H. Chamseddine and V. Mukhanov, Nonsingular Black Hole, arXiv:1612.05861 [INSPIRE].
  10. [10]
    R.L. Arnowitt, S. Deser and C.W. Misner, The Dynamics of general relativity, in Gravitation: An Introduction to Current Research, L. Witten ed., John Wiley & Sons Inc., New York U.S.A. and London U.K. (1962), pp. 227-265, reprinted as R.L. Arnowitt, S. Deser and C.W. Misner, Republication of: The dynamics of general relativity, Gen. Rel. Grav. 40 (2008) 1997 [gr-qc/0405109] [INSPIRE].
  11. [11]
    E. Gourgoulhon, 3 + 1 formalism and bases of numerical relativity, gr-qc/0703035 [INSPIRE].
  12. [12]
    T. Thiemann, Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k-Essence, astro-ph/0607380 [INSPIRE].
  13. [13]
    J.D. Brown and K.V. Kuchar, Dust as a standard of space and time in canonical quantum gravity, Phys. Rev. D 51 (1995) 5600 [gr-qc/9409001] [INSPIRE].
  14. [14]
    S. Ramazanov, F. Arroja, M. Celoria, S. Matarrese and L. Pilo, Living with ghosts in Hořava-Lifshitz gravity, JHEP 06 (2016) 020 [arXiv:1601.05405] [INSPIRE].ADSCrossRefGoogle Scholar
  15. [15]
    R.P. Woodard, Ostrogradsky’s theorem on Hamiltonian instability, Scholarpedia 10 (2015) 32243 [arXiv:1506.02210] [INSPIRE].CrossRefGoogle Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.Department of Theoretical Physics and Astrophysics, Faculty of ScienceMasaryk UniversityBrnoCzech Republic

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