2008/11/30 by Jose Beltrán Jiménez, Jose Beltran Jimenez, Antonio L. Maroto · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1475-7516/2009/02/025
published as JCAP 0902:025,2009 · 13 pages, 2 figures, 1 table. Final version to appear in JCAP
arxiv created 2009/02/20 · openalex publication_date 2009/02/25 · arxiv updated 2011/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We present a detailed study of the viability of general vector-tensor theories of gravity in the presence of an arbitrary temporal background vector field. We find that there are six different classes of theories which are indistinguishable from General Relativity by means of local gravity experiments. We study the propagation speeds of scalar, vector and tensor perturbations and obtain the conditions for classical stability of those models. We compute the energy density of the different modes and find the conditions for the absence of ghosts in the quantum theory. We conclude that the only theories which can pass all the viability conditions for arbitrary values of the background vector field are not only those of the pure Maxwell type, but also Maxwell theories supplemented with a (Lorentz type) gauge fixing term.