Closedform solutions for some metric perturbations from a closed Friedmann model and the distortion of the universe
Abstract
We consider perturbations of a particular type (homogeneous of Bianchi type IX) from a closed FriedmannRobertsonWalker model. By considering a perfect fluid, we obtain closedform solutions for the perturbations in three interesting cases: stiff matter, radiation, and dust. As a cosmological application, we obtain an upper limit on the relative shear, (σθ)_{0}<b_{0exp}, if the microwave background radiation was last scattered at a mean redshift <z>∈[7,10^{3}] and the density parameter is Ω∈(1,10), where b_{0exp} is the relative rootmeansquare deviation of the temperature over the whole sky.
 Publication:

Physical Review D
 Pub Date:
 October 1979
 DOI:
 10.1103/PhysRevD.20.1791
 Bibcode:
 1979PhRvD..20.1791S