Benedict Kalus, Dominik J. Schwarz, Marina Seikel, Alexander Wiegand
We test the isotropy of the expansion of the Universe by estimating the hemispherical anisotropy of supernova type Ia (SN Ia) Hubble diagrams at low redshifts (z<0.2). We compare the best fit Hubble diagrams in pairs of hemispheres and search for the maximal asymmetric orientation. For an isotropic Universe, we expect only a small asymmetry due to noise and the presence of nearby structures. This test does not depend on the assumed content of the Universe, the assumed model of gravity, or the spatial curvature of the Universe. The expectation for possible fluctuations due to large scale structure is evaluated for the \Lambda cold dark matter (\Lambda CDM) model and is compared to the supernova data from the Constitution set for four different light curve fitters, thus allowing a study of the systematic effects. The expected order of magnitude of the hemispherical asymmetry of the Hubble expansion agrees with the observed one. The direction of the Hubble asymmetry is established at 95% confidence level (C.L.) using both, the MLCS2k2 and the SALT II light curve fitter. The highest expansion rate is found towards (l, b) ~ (-35{\deg},-19{\deg}), which agrees with directions reported by other studies. Its amplitude is not in contradiction to expectations from the \Lambda CDM model. The measured Hubble anisotropy is \Delta H/H ~ 0.026. With 95% C.L. the expansion asymmetry is \Delta H/H<0.038.
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http://arxiv.org/abs/1212.3691
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