1993
DOI: 10.1088/0264-9381/10/2/010
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On the cosmology of massive vector fields with SO(3) global symmetry

Abstract: We study the dynamics of flat Friedmann-Robertson-Walker (FRW) cosmologies in the presence of a triplet of massive vector fields with SO(3) global symmetry. We find an E 3 -symmetric ansatz for the vector fields that is compatible with the E 3 -invariant FRW metric and propose a method to make invariant ansätze for more general cosmological models. We use techniques of dynamical systems to study qualitatively the behaviour of the model and find, in particular, that the effective equation of state of the system… Show more

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Cited by 88 publications
(128 citation statements)
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“…As an application, the 1 6 RA 2 vector curvaton model was revisited and shown to result in statistical anisotropy of order unity, which would be excessive if the vector field were to provide the dominant contribution to ζ. In such a case, the only way that excessive statistical anisotropy can be avoided without introducing another dominant (and statistically isotropic) source of curvature perturbations (such as scalar fields) is by considering either a triad of identical vector fields each perpendicular to the other two [24] or hundreds of identical vector fields, randomly oriented in space. In such a case anisotropy in the spectrum or in the expansion can be avoided or suppressed, which means that vector fields could also act as inflatons, without generating anisotropic expansion.…”
Section: Introductionmentioning
confidence: 99%
“…As an application, the 1 6 RA 2 vector curvaton model was revisited and shown to result in statistical anisotropy of order unity, which would be excessive if the vector field were to provide the dominant contribution to ζ. In such a case, the only way that excessive statistical anisotropy can be avoided without introducing another dominant (and statistically isotropic) source of curvature perturbations (such as scalar fields) is by considering either a triad of identical vector fields each perpendicular to the other two [24] or hundreds of identical vector fields, randomly oriented in space. In such a case anisotropy in the spectrum or in the expansion can be avoided or suppressed, which means that vector fields could also act as inflatons, without generating anisotropic expansion.…”
Section: Introductionmentioning
confidence: 99%
“…(8) in the conformal time dη = a −1 (t)dt, the solution being given implicitly in terms of an elliptic function of the first kind [16]. Furthermore, we find that ρ χ 0 = C a 4 (t) , where C is an integration constant.…”
mentioning
confidence: 73%
“…Many authors have used gauge fields in cosmology -for inflation as well as for late-time behavior [18][19][20][21][22][23][24][25][26][27][28][29]. A common issue is that spin-1 fields have a preferred direction and therefore break isotropy.…”
Section: Background Modelmentioning
confidence: 99%
“…Equations (21) and (22) in [43] define the energy density perturbation δρ, the divergence of the fluid velocity θ and the shear stress σ. Reading these off from the perturbed stress-energy tensor yields…”
Section: Scalarsmentioning
confidence: 99%