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Finsler geometry naturally appears in the description of various physical systems.
Über Kurven und Flächen in allgemeinen Räumen
P. Finsler · 1918
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On an asymmetrical metric in the four-space of general relativity
G. Randers · 1941
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The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity
A. Einstein, H. A. Lorentz, M. Hermann, and H. Weyl · 1952
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In Lectures on General Relativity (Brandeis Summer Inst. in Theoretical Physics)
F. A. E. Pirani · 1964
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Indefinite Finsler spaces and timelike spaces
J. K. Beem · 1970
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A special-relativistic theory of the locally anisotropic space-time
G. Bogoslovsky · 1977
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Finsler Geometry, Relativity and Gauge Theories
G. S. Asanov · 1985
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Finsler spaces and the underlying geometry of space-time
R. Tavakol and N. Van Den Bergh · 1985
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Viability criteria for the theories of gravity and finsler spaces
R. K. Tavakol and N. Van den Bergh · 1986
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Q deformation of Poincare algebra
J. Lukierski, H. Ruegg, A. Nowicki, and V. N. Tolstoi · 1991
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A Finsler generalisation of Einstein’s vacuum field equations
S. Rutz · 1993
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A viable model of locally anisotropic space-time and the finslerian generalization of the relativity theory
G. Bogoslovsky · 1994
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An Introduction to Finsler-Riemann Geometry
D. Bao, S.-S. Chern, and Z. Shen · 2000
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Ray Optics, Fermat’s Principle, and Applications to General Relativity
V. Perlick · 2000
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Fermat’s variational principle for anisotropic inhomogeneous media
V. Cerveny · 2002
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Relation of the wave-propagation metric tensor to the curvatures of the slowness and ray- velocity surfaces
L. Klimes · 2002
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Linear pre-metric electrodynamics and deduction of the light cone
G. F. Rubilar · 2002
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Foundations of Classical Electrodynamics
F. W. Hehl and Y. N. Obukhov · 2003
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Riemannian light cone from vanishing birefringence in premetric vacuum electrodynamics
C. Lammerzahl and F. W. Hehl · 2004
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Modern tests of Lorentz invariance
D. Mattingly · 2005
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Very special relativity
A. G. Cohen and S. L. Glashow · 2006
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Fermat principle in Finsler spacetimes
V. Perlick · 2006
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General very special relativity is Finsler geometry
G. Gibbons, J. Gomis, and C. Pope · 2007
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Finsler Lagrange Geometry
R. Miron and I. Bucataru · 2007
Cited alongside, same era.
On the History of Geometrization of Space-time: From Minkowski to Finsler Geometry
H. F. Goenner · 2008
Cited alongside, same era.
Modified Friedmann model in Randers-Finsler space of approximate Berwald type as a possible alternative to dark energy hypothesis
Z. Chang and X. Li · 2009
Cited alongside, same era.
The General Very Special Relativity in Finsler Cosmology
A. Kouretsis, M. Stathakopoulos, and P. Stavrinos · 2009
Cited alongside, same era.
Propagation of light in area metric backgrounds
R. Punzi, M. N. Wohlfarth, and F. P. Schuller · 2009
Cited alongside, same era.
Geometry of spacetime and Finsler geometry
R. Tavakol · 2009
Cited alongside, same era.
Realization of doubly special relativistic symmetries in Finsler geometries
G. Amelino-Camelia, L. Barcaroli, G. Gubitosi, S. Liberati, and N. Loret · 2014
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Finsler-type modification of the Coulomb law
Y. Itin, C. Lämmerzahl, and V. Perlick · 2014
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Radar orthogonality and radar length in Finsler and metric spacetime geometry
C. Pfeifer · 2014
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The connections of pseudo-Finsler spaces
E. Minguzzi · 2015
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Light cones in Finsler spacetime
E. Minguzzi · 2015
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Standard static Finsler spacetimes
E. Caponio and G. Stancarone · 2016
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Finsler geometry of seismic ray path in anisotropic media
T. Yajima and H. Nagahama · 2009
Cited alongside, same era.
New considerations on Hilbert action and Einstein equations in anisotropic spaces
N. Voicu · 2010
Cited alongside, same era.
General-Relativistc Kinetic Theory Of Gases
J. Ehlers · 2011
Cited alongside, same era.
The Geometry of sound rays in a wind
G. Gibbons and C. Warnick · 2011
Cited alongside, same era.
Causal structure and electrodynamics on Finsler spacetimes
C. Pfeifer and M. N. R. Wohlfarth · 2011
Cited alongside, same era.
Geometry of physical dispersion relations
D. Raetzel, S. Rivera, and F. P. Schuller · 2011
Cited alongside, same era.
A. Fuster and C. Pabst · 2016
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Non-metric fluid dynamics and cosmology on Finsler spacetimes
M. Hohmann · 2016
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A finsler geodesic spray paradigm for wildfire spread modelling
S. Markvorsen · 2016
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Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the Standard-Model Extension
M. Schreck · 2016
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Curved spacetimes with local κ \kappa -Poincaré dispersion relation
L. Barcaroli, L. K. Brunkhorst, G. Gubitosi, N. Loret, and C. Pfeifer · 2017
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Finsler fluid dynamics in SO(4) symmetric cosmology
M. Hohmann · 2017
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Geodesics and the magnitude-redshift relation on cosmologically symmetric Finsler spacetimes
M. Hohmann and C. Pfeifer · 2017
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Deformed relativity symmetries and the local structure of spacetime
M. Letizia and S. Liberati · 2017
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On singular generalized Berwald spacetimes and the equivalence principle
R. G. Torromé · 2017
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On Finsler spacetimes with a timelike Killing vector field
E. Caponio and G. Stancarone · 2018
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Riemann–Finsler geometry and Lorentz-violating scalar fields
B. R. Edwards and V. A. Kostelecky · 2018
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Berwald spacetimes and very special relativity
A. Fuster, C. Pabst, and C. Pfeifer · 2018
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Observers’ measurements in premetric electrodynamics: Time and radar length
N. Gürlebeck and C. Pfeifer · 2018
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Finsler gravity action from variational completion
M. Hohmann, C. Pfeifer, and N. Voicu · 2018
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On the definition and examples of cones and Finsler spacetimes
M. A. Javaloyes and M. Sánchez · 2018
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Finsler geometry as a model for relativistic gravity
C. Lammerzahl and V. Perlick · 2018
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