Rotational perturbations of Friedmann universes

Details Rotational perturbations of Friedmann universes Rotational perturbations of Friedmann universes

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phrvd..22.2317b&link_type=abstract

Physical Review D, vol. 22, Issue 10, pp. 2317-2322

Physics

33

Scientific paper

Several new analytic solutions for rotational perturbations of the Friedmann metrics are found in order to incorporate the possibility of a rotating universe. The field equations impose restrictions on the matter rotation ω(r, t) and some of the solutions for Ω(r, t), which is related to the local dragging of inertial frames, are expressed in terms of hypergeometric functions. Uniform rotation is shown to be incompatible with the present universe (P=0) and with the radiation-dominated universe (P=ρ3). Geodesics of the metric are studied to reveal the intrinsic nature of the rotation and to elucidate the role of Ω.

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