and shear of the
نویسنده
چکیده
Comment on the paper of Jaffe et al (astro-ph/0503213) on evidence of vorticity and shear of the Universe We show that recent results in the paper of Jaffe et al on evidence of vorticity and shear of the Universe are incorrect. They fit WMAP data with certain Bianchi model which is known to have a vanishing vorticity. The performed fit of the shear is not reliable because the respective formula seems not to be gauge invariant. We suggest a theoretical framework to analyze asymmetric large scale WMAP data. Few independent analyses of WMAP data claim the existence of the anisotropy in the large-scale spectrum of the CMBR fluctuations. This stimulates a study of the data by cosmological models beyond that of the Robertson-Walker. Jaffe et al [1] attempt to fit data with some Bianchi model using formulae of Ref. [2] with their definition of " vorticity " and shear. However , it is very well known that standardly defined spacetime vorticity(ω)[3] vanishes for these Bianchi models [4] ω ab = ω [ab] = h c a h d b u [c;d] , ω = [ 1 2 ω ab ω ab ] 1/2 , [ab] = 1 2 (ab − ba), u a u a = −1, h ab = g ab + u a u b .
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