Viability of vector-tensor theories of gravity

Details Viability of vector-tensor theories of gravity Viability of vector-tensor theories of gravity

2008-11-05

arxiv.org/abs/0811.0784v2

JCAP 0902:025,2009

Astronomy and Astrophysics

Astrophysics

13 pages, 2 figures, 1 table. Final version to appear in JCAP

Scientific paper

10.1088/1475-7516/2009/02/025

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.

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