Rainbows without unicorns: Metric structures in theories with Modified Dispersion Relations

H. Rund, The differential geometry of Finsler spaces

1959

Earlier work this paper cites.

H. Shimada, “Cartan-like connections of special generalized Finsler spaces”, In: Differential Geometry and Its Applications. Proc. Conf., Sept. 1989, Brno, Czechosovakia, World Sci., Singapore, 1990, pp. 270-275. doi:10.1142/9789814540513

1990

Earlier work this paper cites.

O. Krupková, “Variational metrics on ℝ × T ​ M {\mathbb{R}}\times TM and the geometry of nonconservative mechanics”, Math. Slovaca 44

1994

Earlier work this paper cites.

S. Vacaru, “Superstrings in higher order extensions of Finsler superspaces”, arXivhep-th/9611034, Nucl. Phys. B 434

1997

Earlier work this paper cites.

S. Vacaru, “Locally anisotropic gravity, and strings”, arXiv:gr-qc/9604013, Ann. Phys. (NY) 256

1997

Earlier work this paper cites.

J. Kowalski-Glikman, “Observer independent quantum of mass”, arXiv:hep-th/0102098, Phys. Lett. A 286

2001

Earlier work this paper cites.

Z. Shen, Differential Geometry of Spray and Finsler Spaces

Original

2001

Earlier work this paper cites.

G. Amelino-Camelia, “Relativity in space-times with short distance structure governed by an observer independent (Planckian) length scale”, arXiv:gr-qc/0012051, Int. J. Mod. Phys. D 11

2002

Earlier work this paper cites.

S. Vacaru and P. Stravinos, Spinors and space-time anysotropy

2002

Earlier work this paper cites.

J. Magueijo and L. Smolin, “Generalized Lorentz invariance with an invariant energy scale”, arXiv:gr-qc/0207085, Phys. Rev. D 67

2003

Earlier work this paper cites.

J. Magueijo and L. Smolin, “Gravity’s rainbow”, arXiv:gr-qc/0305055, Class. Quant. Grav. 21

2004

Earlier work this paper cites.

D. Kimberly, J. Magueijo and J. Medeiros, “Nonlinear relativity in position space”, arXiv:gr-qc/0303067, Phys. Rev. D 70

2004

Earlier work this paper cites.

D. Mattingly, “Modern tests of Lorentz invariance”, arXiv:gr-qc/0502097, Living Rev. Rel. 8

2005

Earlier work this paper cites.

M. Dahl, “A brief introduction to Finsler geometry". Based on licentiate thesis, “Propagation of Gaussian beams using Riemann-Finsler geometry”, Helsinki University of Technology (2006)

2006

Earlier work this paper cites.

Y. Ling, “Rainbow universe”, arxiv:gr-qc/0609129, JCAP 0708

2007

Earlier work this paper cites.

F. Girelli, S. Liberati and L. Sindoni, “Planck-scale modified dispersion relations and Finsler geometry”, arXiv:gr-qc/0611024, Phys. Rev. D 75

2007

Cited alongside, same era.

S. Mignemi, “Doubly special relativity and Finsler geometry”, arXiv:0704.1728, Phys. Rev. D 76

Original

2007

Cited alongside, same era.

U. Jacob and T. Piran, “Lorentz-violation-induced arrival delays of cosmological particles”, arXiv:0712.2170, JCAP 0801

Original

2008

Cited alongside, same era.

S. I. Vacaru, “Finsler and Lagrange Geometries in Einstein and String Gravity,” arXiv:0801.4958, Int. J. Geom. Meth. Mod. Phys. 5

Original

2008

Cited alongside, same era.

M. Anastasiei and S. Vacaru, “Fedosov quantization of Lagrange-Finsler and Hamilton-Cartan spaces and Einstein gravity lifts on (co) tangent bundles”, arXiv:0710.3079, J. Math. Phys. 50

N. Loret, “Exploring special relative locality with de Sitter momentum-space”, arXiv:1404.5093, Phys. Rev. D 90

Original

2014

Later among the works it cites.

G. Rosati, G. Amelino-Camelia, A. Marciano and M. Matassa, “Planck-scale-modified dispersion relations in FRW spacetime”, arXiv:1507.02056, Phys. Rev. D 92

Original

2015

Later among the works it cites.

F. W. Stecker, S. T. Scully, S. Liberati and D. Mattingly, “Searching for Traces of Planck-Scale Physics with High Energy Neutrinos”, arXiv:1411.5889, Phys. Rev. D 91

Original

2015

Later among the works it cites.

A. F. Ali, M. Faizal and B. Majumder, “Absence of an Effective Horizon for Black Holes in Gravity’s Rainbow”, arXiv:gr-qc/1406.1980, Europhys. Lett. 109

2015

Later among the works it cites.