2013/05/31 by D. Comelli, Denis Comelli, Fabrizio Nesti +3 · 4 citations
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Cutoff #Degrees of freedom (physics and chemistry) #Gravitation #Graviton #Hamiltonian (control theory) #Massive gravity #Metric (unit) #Noncommutative and Quantum Gravity Theories #f(R) gravity #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep07(2013)161
published as JHEP 1307 (2013) 161 · 22 pages. Few typos corrected, updated references
openalex publication_date 2013/07/01 · arxiv created 2015/04/16 · arxiv updated 2015/04/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 Lambda2=(m Mpl)^(1/2), where m is the graviton mass scale.