Abstract
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.
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References
A.H. Chamseddine and V. Mukhanov, Mimetic Dark Matter, JHEP 11 (2013) 135 [arXiv:1308.5410] [INSPIRE].
A.O. Barvinsky, Dark matter as a ghost free conformal extension of Einstein theory, JCAP 01 (2014) 014 [arXiv:1311.3111] [INSPIRE].
A.H. Chamseddine, V. Mukhanov and A. Vikman, Cosmology with Mimetic Matter, JCAP 06 (2014) 017 [arXiv:1403.3961] [INSPIRE].
L. Sebastiani, S. Vagnozzi and R. Myrzakulov, Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics, arXiv:1612.08661 [INSPIRE].
A.H. Chamseddine and V. Mukhanov, Inhomogeneous Dark Energy, JCAP 02 (2016) 040 [arXiv:1601.04941] [INSPIRE].
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].
O. Malaeb, Hamiltonian Formulation of Mimetic Gravity, Phys. Rev. D 91 (2015) 103526 [arXiv:1404.4195] [INSPIRE].
A.H. Chamseddine and V. Mukhanov, Resolving Cosmological Singularities, arXiv:1612.05860 [INSPIRE].
A.H. Chamseddine and V. Mukhanov, Nonsingular Black Hole, arXiv:1612.05861 [INSPIRE].
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].
E. Gourgoulhon, 3 + 1 formalism and bases of numerical relativity, gr-qc/0703035 [INSPIRE].
T. Thiemann, Solving the Problem of Time in General Relativity and Cosmology with Phantoms and k-Essence, astro-ph/0607380 [INSPIRE].
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].
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].
R.P. Woodard, Ostrogradsky’s theorem on Hamiltonian instability, Scholarpedia 10 (2015) 32243 [arXiv:1506.02210] [INSPIRE].
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ArXiv ePrint: 1701.08523
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Klusoň, J. Canonical analysis of inhomogeneous Dark Energy Model and theory of limiting curvature. J. High Energ. Phys. 2017, 31 (2017). https://doi.org/10.1007/JHEP03(2017)031
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DOI: https://doi.org/10.1007/JHEP03(2017)031