Fine structure constant variation or spacetime anisotropy?

Details Fine structure constant variation or spacetime anisotropy? Fine structure constant variation or spacetime anisotropy?

2011-06-14

arxiv.org/abs/1106.2726v3

Eur. Phys. J. C (2012) 72:1838

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages. To publish in EPJC

Scientific paper

10.1140/epjc/s10052-011-1838-4

Recent observations on the quasar absorption spectra supply evidence for the variation of the fine structure constant $\alpha$. In this paper, we propose another interpretation of the observational data on the quasar absorption spectra: a scenario with spacetime inhomogeneity and anisotropy. Maybe the spacetime is characterized by the Finsler geometry instead of the Riemann one. The Finsler geometry admits fewer symmetries than the Riemann geometry does. We investigate the Finslerian geodesic equations in the Randers spacetime (a special Finsler spacetime). It is found that the cosmological redshift in this spacetime deviates from the one in general relativity. The modification term to the redshift could be generally revealed as a monopole plus dipole function of spacetime locations and directions. We suggest that this modification corresponds to the spatial monopole and dipole of $\alpha$ variation in the quasar absorption spectra.

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