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In the attempts to apply Finsler geometry to construct an extension of general relativity, the question about a suitable generalization of the Einstein equations is still under debate.
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2002
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Kluwer Academic Publisher, Dordrecht, 2003
P. L. Antonelli, S. F. Rutz, and M. A. Slawinski, “A geometrical foundation for seismic ray theory based on modern Finsler geometry,” in Finsler and Lagrange Geometries · 2003
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R. Bluhm, “Overview of the SME: Implications and phenomenology of Lorentz violation,” Lect. Notes Phys
2005
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D. Clowe, M. Bradac, A. H. Gonzalez, M. Markevitch, S. W. Randall, C. Jones, and D. Zaritsky, “A direct empirical proof of the existence of dark matter,” Astrophys. J
2006
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2006
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2007
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R. Miron and I. Bucataru, Finsler Lagrange geometry · 2007
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2014
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P. Stavrinos, O. Vacaru, and S. I. Vacaru, “Modified Einstein and Finsler like theories on tangent Lorentz bundles,” International Journal of Modern Physics D
2014
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E. Minguzzi, “The connections of pseudo-Finsler spaces,” Int. J. Geom. Meth. Mod. Phys
2015
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D. Krupka, Introduction to Global Variational Geometry · 2015
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N. Voicu and D. Krupka, “Canonical variational completion of differential equations,” Journal of Mathematical Physics
2015
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2008
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2009
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2009
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2009
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2009
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World Scientific, 2009
G. Giachetta, L. Mangiarotti, and G. Sardanashvily, Advanced Classical Field Theory · 2009
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2010
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E. Caponio and G. Stancarone, “Standard static Finsler spacetimes,” Int. J. Geom. Meth. Mod. Phys
2016
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M. Hohmann, “Non-metric fluid dynamics and cosmology on Finsler spacetimes,” Int. J. Mod. Phys
2016
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2017
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2017
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2017
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2017
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2017
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2017
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A. Fuster, C. Pabst, and C. Pfeifer, “Berwald spacetimes and very special relativity,” Phys. Rev
2018
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2018
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2018
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D. Krupka, “Finsler spaces and projective bundles,” Lecture notes, 23rd Summer School on Global Analysis and Applications, Brasov, Romania
2018
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http://xact.es/, 2002 - 2018
J. M. Martín-García, xAct: Efficient tensor computer algebra for Mathematica · 2018
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