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

  • Regular Article - Theoretical Physics
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Abstract

Based on Cohen & Glashow’s very special relativity (Cohen and Glashow in Phys. Rev. Lett. 97:021601, 2006), 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 compilation, we obtain the privileged axis pointing to (l,b)=(304∘±43∘,−27∘±13∘) (68 % C.L.). This privileged axis is close to those obtained by comparing the best-fit Hubble diagrams in pairs of hemispheres. It should be noticed that the result is consistent with isotropy at the 1σ level since the anisotropic magnitude is D=0.03±0.03.

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Acknowledgements

We are thankful for useful discussions with Jian-Ping Dai, Yunguo Jiang, Danning Li, and Hai-Nan Lin. We are very grateful to Prof. Shuang-Nan Zhang who provides us the galactic coordinates of SNe Ia in the Union2 compilation. This work is supported by the National Natural Science Fund of China under Grant No. 11075166.

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Authors and Affiliations

  1. Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing, China

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

  2. Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, 100049, Beijing, China

    Zhe Chang & Xin Li

Authors
  1. Zhe Chang
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  2. Ming-Hua Li
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  3. Xin Li
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  4. Sai Wang
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Correspondence to Sai Wang.

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Chang, Z., Li, MH., Li, X. et al. Cosmological model with local symmetry of very special relativity and constraints on it from supernovae. Eur. Phys. J. C 73, 2459 (2013). https://doi.org/10.1140/epjc/s10052-013-2459-x

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2459-x

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