We study in a systematic way a generic non derivative (massive) deformation of general relativity using the Hamiltonian formalism. The number of propagating degrees of freedom is analyzed in a non-perturbative and background independent way. We show that the condition of having only five propagating degrees of freedom can be cast in a set of differential equations for the deforming potential. In the Lorentz invariant case we recover the known ghost-free solutions, though the condition are rather restrictive, different solutions can be found, at least in lower dimensions.

Degrees of freedom in massive gravity

Nesti F;PILO, LUIGI
2012

Abstract

We study in a systematic way a generic non derivative (massive) deformation of general relativity using the Hamiltonian formalism. The number of propagating degrees of freedom is analyzed in a non-perturbative and background independent way. We show that the condition of having only five propagating degrees of freedom can be cast in a set of differential equations for the deforming potential. In the Lorentz invariant case we recover the known ghost-free solutions, though the condition are rather restrictive, different solutions can be found, at least in lower dimensions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/15519
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