2014/08/31 by S. Deser, M. Sandora, McCullen Sandora +4 · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Classical mechanics #Computation #Constraint (computer-aided design) #Cosmology and Gravitation Theories #Covariant transformation #Geometry #Geophysics and Gravity Measurements #Gravitation #Hamiltonian (control theory) #Hamiltonian constraint #Massive gravity #Mathematical optimization #Mathematical physics #Mathematics #Physics #Quantum gravity #Quantum mechanics #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.104043
published as Phys. Rev. D 90, 104043 (2014) · 26 pages LaTeX, references added, version to appear in Phys. Rev. D
arxiv created 2014/10/29 · openalex publication_date 2014/11/26 · arxiv updated 2014/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates 5 degrees of freedom; this is also verified by a new and streamlined Hamiltonian description. The constraint's covariant expression permits computation of the model's caustics. Although new features such as the dynamical Riemann tensor appear in the characteristic matrix, the model still exhibits the pathologies uncovered in earlier work: superluminality and likely acausalities.