Ghosts in massive gravity

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Published 1 September 2005 • Published under licence by IOP Publishing Ltd
, , Citation Paolo Creminelli et al JHEP09(2005)003 DOI 10.1088/1126-6708/2005/09/003

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Author affiliations

1 Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A.

2 Department of Physics, University of California, Berkeley and Theoretical Physics Group, Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA 94720, U.S.A.

3 Institute for Theoretical Physics, Heidelberg University, D-69120 Heidelberg, Germany

Dates

  1. Received 7 July 2005
  2. Accepted 21 August 2005
  3. Published

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1126-6708/2005/09/003

Abstract

In the context of Lorentz-invariant massive gravity we show that classical solutions around heavy sources are plagued by ghost instabilities. The ghost shows up in the effective field theory at huge distances from the source, much bigger than the Vainshtein radius. Its presence is independent of the choice of the non-linear terms added to the Fierz-Pauli lagrangian. At the Vainshtein radius the mass of the ghost is of order of the inverse radius, so that the theory cannot be trusted inside this region, not even at the classical level.

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10.1088/1126-6708/2005/09/003