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Finsler Spacetimes and Gravity

  • Christian PfeiferEmail author
  • Mattias Wohlfarth
Conference paper
Part of the Springer Proceedings in Physics book series (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.

Keywords

Tangent Space Tangent Bundle Finsler Geometry Timelike Vector Weak Equivalence Principle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    Pfeifer, C., Wohlfarth, M.: Causal structure and electrodynamics on Finsler spacetimes. Phys. Rev. D 84, 044039 (2011). doi: 10.1103/PhysRevD.84.044039
  3. 3.
    Pfeifer, C., Wohlfarth, M.: Finsler geometric extension of Einstein gravity. Phys. Rev. D 85, 064009 (2012). doi: 10.1103/PhysRevD.85.064009
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    Bao, D., Shern, S.S., Chen, Z.: An introduction to Riemann-Finsler geometry. In: Graduate Texts in Mathematics, vol. 200. Springer, Berlin (2000)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.II. Institut für Theoretische Physik und Zentrum für Mathematische PhysikUniversität Hamburg Luruper Chaussee 149HamburgGermany

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