Resummation of Massive Gravity

Claudia de Rham, Gregory Gabadadze, and Andrew J. Tolley
Phys. Rev. Lett. 106, 231101 – Published 10 June 2011

Abstract

We construct four-dimensional covariant nonlinear 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 nonlinearities, 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.

  • Received 15 November 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.231101

© 2011 American Physical Society

Authors & Affiliations

Claudia de Rham1, Gregory Gabadadze2, and Andrew J. Tolley3

  • 1Départment de Physique Théorique, Université de Genève, 24 Quai E. Ansermet, CH-1211 Genève, Switzerland
  • 2Center for Cosmology and Particle Physics, Department of Physics, New York University, New York 10003, USA
  • 3Department of Physics, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 106, Iss. 23 — 10 June 2011

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×