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2010

Resummation of Massive Gravity

de Rham, Claudia, Gabadadze, Gregory, Tolley, Andrew J.

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We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders.

These theories resum explicitly all the nonlinear terms of an effective field theory of massive gravity.
We show that away from the decoupling limit the Hamiltonian constraint is maintained at least up to and including quartic order in non-linearities, hence, excluding the possibility of the Boulware-Deser ghost up to this order.
We also show that the same remains true to all orders in a similar toy-model.

Resummation of Massive Gravity · Around

Built on

M. Fierz and W. Pauli, Proc. Roy. Soc. Lond. A 173
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D. G. Boulware and S. Deser, Phys. Rev. D 6
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R. M. Wald, Chicago, Usa: Univ. Pr. ( 1984) 491p
1984
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N. Arkani-Hamed, H. Georgi and M. D. Schwartz, Annals Phys. 305
2003
Earlier work this paper cites.

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Then

C. de Rham, Phys. Lett. B 688
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2010
Closest in time.
C. de Rham and G. Gabadadze, Phys. Lett. B 693
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C. de Rham and A. J. Tolley, JCAP 1005
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A. H. Chamseddine and V. Mukhanov, JHEP 1008
2010
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