Massive gravity: a General Analysis
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 , 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 Lambda_2=(m M_pl)^(1/2), where m is the graviton mass scale.
Keywords
Cite
@article{arxiv.1305.0236,
title = {Massive gravity: a General Analysis},
author = {Denis Comelli and Fabrizio Nesti and Luigi Pilo},
journal= {arXiv preprint arXiv:1305.0236},
year = {2015}
}
Comments
22 pages. Few typos corrected, updated references