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Massive gravity: a general analysis

  • D. Comelli
  • F. Nesti
  • L. Pilo
Article

Abstract

Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non perturbatively. The construction is based on a set of differential equations for V, that remarkably can be solved in terms of two arbitrary functions. Besides recovering the known “Lorentz invariant” massive gravity theory, we find an entirely new class of solutions, with healthy features on the phenomenological side, in particular they are weakly coupled in the solar system and have a high ultraviolet cutoff Λ2 = (mM pl )1/2, where m is the graviton mass scale.

Keywords

Classical Theories of Gravity Cosmology of Theories beyond the SM 

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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.INFN, Sezione di FerraraFerraraItaly
  2. 2.Gran Sasso Science InstituteL’AquilaItaly
  3. 3.Dipartimento di Scienze Fisiche e ChimicheUniversità di L’AquilaL’AquilaItaly
  4. 4.INFN, Laboratori Nazionali del Gran SassoAssergiItaly

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