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2011

Note About Hamiltonian Structure of Non-Linear Massive Gravity

Kluson, J.

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We perform the Hamiltonian analysis of non-linear massive gravity action studied recently in arXiv:1106.3344 [hep-th].

We show that the Hamiltonian constraint is the second class constraint.
As a result the theory possesses an odd number of the second class constraints and hence all non physical degrees of freedom cannot be eliminated.

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K. Hinterbichler, “Theoretical Aspects of Massive Gravity,” [arXiv:1105.3735 [hep-th]]

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T. Clifton, P. G. Ferreira, A. Padilla, C. Skordis, “Modified Gravity and Cosmology,” [arXiv:1106.2476 [astro-ph.CO]]

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S. F. Hassan, R. A. Rosen, “Resolving the Ghost Problem in non-Linear Massive Gravity,” [arXiv:1106.3344 [hep-th]]

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G. ’t Hooft, “Unitarity in the Brout-Englert-Higgs Mechanism for Gravity,” [arXiv:0708.3184 [hep-th]]

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A. H. Chamseddine, V. Mukhanov, “Massive Gravity Simplified: A Quadratic Action,” [arXiv:1106.5868 [hep-th]]

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A. Iglesias, Z. Kakushadze, “Non-perturbative Unitarity of Gravitational Higgs Mechanism,” [arXiv:1102.4991 [hep-th]]

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S. Folkerts, A. Pritzel, N. Wintergerst, “On ghosts in theories of self-interacting massive spin-2 particles,” [arXiv:1107.3157 [hep-th]]

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