Vector theories in cosmology

G. Esposito-Farese, C. Pitrou, J. Uzan

Research output: Contribution to journalArticlepeer-review

58 Downloads (Pure)

Abstract

This article provides a general study of the Hamiltonian stability and the hyperbolicity of vector field models involving both a general function of the Faraday tensor and its dual, f(F2,FF˜), as well as a Proca potential for the vector field, V(A2). In particular it is demonstrated that theories involving only f(F2) do not satisfy the hyperbolicity conditions. It is then shown that in this class of models, the cosmological dynamics always dilutes the vector field. In the case of a nonminimal coupling to gravity, it is established that theories involving Rf(A2) or Rf(F2) are generically pathologic. To finish, we exhibit a model where the vector field is not diluted during the cosmological evolution, because of a nonminimal vector field-curvature coupling which maintains second-order field equations. The relevance of such models for cosmology is discussed.
Original languageEnglish
Pages (from-to)063519
Number of pages1
JournalPhysical Review D
Volume81
Issue number6
DOIs
Publication statusPublished - 2010

Fingerprint

Dive into the research topics of 'Vector theories in cosmology'. Together they form a unique fingerprint.

Cite this