1303.1593 (Zhe Chang et al.)

Cosmological model with local symmetry of very special relativity and constraints on it from supernovae    [PDF]

Zhe Chang, Ming-Hua Li, Xin Li, Sai Wang

Based on Cohen & Glashow's very special relativity [A. G. Cohen and S. L. Glashow, Phys. Rev. Lett. {\bf 97} (2006) 021601], we propose an anisotropic modification to the Friedmann-Robertson-Walker (FRW) line element. An arbitrarily oriented 1-form is introduced and the FRW spacetime becomes of the Randers-Finsler type. The 1-form picks out a privileged axis in the universe. Thus, the cosmological redshift as well as the Hubble diagram of the type Ia supernovae (SNe Ia) becomes anisotropic. By directly analyzing the Union2.1 compilation, we obtain the privileged axis pointing to ((l,b)=({242^\circ}\pm{44^\circ},{-42^\circ}\pm{23^\circ})) ((68%\rm{C.L.})). This privileged axis is close to those obtained by comparing the best-fit Hubble diagrams in pairs of hemispheres.

View original: http://arxiv.org/abs/1303.1593