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Finsler Spacetimes and Gravity

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Relativity and Gravitation

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 157))

Abstract

We consider the geometry of spacetime based on a non-metric, Finslerian, length measure, which, in terms of physics, represents a generalized clock. Our definition of Finsler spacetimes ensure a well defined notion of causality, a precise description of observers and a geometric background for field theories. Moreover we present our Finsler geometric extension of the Einstein equations, which determine the geometry of Finsler spacetimes dynamically.

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References

  1. Spergel, D., Bean, R., Doré, O., et al.: Three-year Wilkinson microwave anisotropy probe (WMAP) observations: implications for cosmology. Astrophys. J. Suppl. 170, 377 (2007). doi:10.1086/513700

  2. Pfeifer, C., Wohlfarth, M.: Causal structure and electrodynamics on Finsler spacetimes. Phys. Rev. D 84, 044039 (2011). doi:10.1103/PhysRevD.84.044039

  3. Pfeifer, C., Wohlfarth, M.: Finsler geometric extension of Einstein gravity. Phys. Rev. D 85, 064009 (2012). doi:10.1103/PhysRevD.85.064009

  4. Bao, D., Shern, S.S., Chen, Z.: An introduction to Riemann-Finsler geometry. In: Graduate Texts in Mathematics, vol. 200. Springer, Berlin (2000)

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Correspondence to Christian Pfeifer .

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Pfeifer, C., Wohlfarth, M. (2014). Finsler Spacetimes and Gravity. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_42

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