On the health of a vector field with (R A^2)/6 coupling to gravity

Details On the health of a vector field with (R A^2)/6 coupling to gravity On the health of a vector field with (R A^2)/6 coupling to gravity

2010-07-08

arxiv.org/abs/1007.1426v1

JCAP 1011:023,2010

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

11 pages

Scientific paper

10.1088/1475-7516/2010/11/023

The coupling (R A^2)/6 of a vector field to gravity was proposed as a mechanism for generating a primordial magnetic field, and more recently as a mechanism for generating a statistically anisotropic contribution to the primordial curvature perturbation. In either case, the vector field's perturbation has both a transverse and a longitudinal component, and the latter has some unusual features which call into question the health of the theory. We calculate for the first time the energy density generated by the longitudinal field perturbations, and go on to argue that the theory may well be healthy in at least some versions.

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