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Light is the richest information retriever for most physical systems, particularly so for astronomy and cosmology, in which gravitation is of paramount importance, and also for solid state defects and metamaterials, in which some effects can be mimicked by non-Euclidean or even non-Riemannian geometries.
I. M. H. Etherington, “On the definition of distance in general relativity,” Philos. Mag. Ser. 7 15
1933
Earlier work this paper cites.
J. A. Schouten, Ricci-Calculus , 2nd ed. (Springer-Verlag, Berlin, 1954)
1954
Earlier work this paper cites.
M. Kline and I. W. Kay, Electromagnetic Theory and Geometrical Optics (John Wiley & Sons, New York, 1965)
1965
Earlier work this paper cites.
J. Kristian and R. K. Sachs, “Observations in cosmology,” Astrophys. J. 143
1966
Earlier work this paper cites.
J. Ehlers, “Zum Übergang von der Wellenoptik zur geometrischen Optik in der allgemeinen Relativitätstheorie,” Z. Naturforsch. 22a
1967
Earlier work this paper cites.
G. F. R. Ellis, “Relativistic cosmology,” in International School of Physics “Enrico Fermi”, Course 47: General Relativity and Cosmology , edited by R. K. Sachs (Academic Press, New York, 1971)
1971
Earlier work this paper cites.
J. Ehlers, F.. A. E. Pirani, and A. Schild, “The geometry of free fall and light propagation,” in General Relativity. Papers in Honour of J. L. Synge , edited by L. O’Raifeartaigh (Oxford University Press, Oxford, 1972) Chap. 4, p. 63
1972
Earlier work this paper cites.
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973)
1973
Earlier work this paper cites.
F. G. Friedlander, The Wave Equation on a Curved Space-Time (Cambridge University Press, Cambridge, 1975)
1975
Earlier work this paper cites.
F. W. Hehl, P. von der Heyde, G. D. Kerlick, and J. M. Nester, “General relativity with spin and torsion: Foundations and prospects,” Rev. Mod. Phys. 48
1976
Earlier work this paper cites.
N. S. Swaminarayan and J. L. Safko, “A coordinate-free derivation of a generalized geodesic deviation equation,” J. Math. Phys. 24
1983
Earlier work this paper cites.
R. Courant and D. Hilbert, Methods of Mathematical Physics , 2nd ed. (Wiley-VCH, Berlin, 1989)
1989
Earlier work this paper cites.
P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer-Verlag, Berlin, 1992)
1992
Earlier work this paper cites.
M. O. Calvão, J. A. S. Lima, and I. Waga, “On the thermodynamics of matter creation in cosmology,” Phys. Lett. A 162
1992
Earlier work this paper cites.
F. W. Hehl, J. D. McCrea, E. W. Mielke, and Y. Ne’eman, “Metric-affine gauge theory of gravity: field equations, Noether identities, world spinors, and breaking of dilation invariance,” Phys. Rep. 258
1995
Earlier work this paper cites.
M. Born and E. Wolf, Principles of Optics. Electromagnetic Theory of Propagation, Interference and Diffraction of Light , 7th ed. (Cambridge University Press, Cambridge, 1999)
1999
Earlier work this paper cites.
V. Perlick, Ray Optics, Fermat’s Principle, and Applications to General Relativity (Springer-Verlag, Berlin, 2000)
2000
Cited alongside, same era.
R. T. Hammond, “Torsion gravity,” Rep. Prog. Phys. 65
2002
Cited alongside, same era.
I. L. Shapiro, “Physical aspects of the space-time torsion,” Phys. Rep. 357
2002
Cited alongside, same era.
B. Mukhopadhyaya, S. Sen, and S. SenGupta, “Does a Randall-Sundrum scenario create the illusion of a torsion-free universe?” Phys. Rev. Lett. 89
2002
Cited alongside, same era.
B. A. Bassett and M. Kunz, “Cosmic distance-duality as a probe of exotic physics and acceleration,” Phys. Rev. D 69
2004
Cited alongside, same era.
J.-P Uzan, N. Aghanim, and Y. Mellier, “Distance duality relation from x-ray and Sunyaev-Zel’dovich observations of clusters,” Phys. Rev. D 70
A. Bóna and M. A. Slawinski, Wavefronts and Rays as Characteristics and Asymptotics (World Scientific, Singapore, 2011)
2011
Later among the works it cites.
V. F. Cardone, S. Spiro, I. Hook, and R. Scaramella, “Testing the distance duality relation with present and future data,” Phys. Rev. D 85
2012
Later among the works it cites.
R. F. L. Holanda, J. A. S. Lima, and M. B. Ribeiro, “Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia,” Astron. Astrophys. 538
2012
Later among the works it cites.
R. Nair, S. Jhingan, and D. Jain, “Cosmic distance duality and cosmic transparency,” J. Cosmol. Astropart. Phys. 12
2012
Later among the works it cites.
G. F. R. Ellis, R. Poltis, J.-P. Uzan, and A. Weltman, “Blackness of the cosmic microwave background spectrum as a probe of the distance-duality relation,” Phys. Rev. D 87
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2004
Cited alongside, same era.
J. Plebański and A. Krasiński, An Introduction to General Relativity and Cosmology (Cambridge University Press, Cambridge, 2006)
2006
Cited alongside, same era.
I. M. H. Etherington, “Republication of: LX. On the definition of distance in general relativity,” Gen. Relativ. Gravit. 39
2007
Cited alongside, same era.
G F. R. Ellis, “On the definition of distance in general: I. M. H. Etherington ( Philosophical Magazine ser. 7, vol. 15, 761 (1933)),” Gen. Relativ. Gravit. 39
2007
Cited alongside, same era.
S. More, J. Bovy, and D. W. Hogg, “Cosmic transparency: A test with the baryon acoustic feature and type Ia supernovae,” Astrophys. J. 696
2009
Cited alongside, same era.
A. Avgoustidis, C. Burrage, J. Redondo, L. Verde, and R. Jimenez, “Constraints on cosmic opacity and beyond the standard model physics from cosmological distance measurements,” J. Cosmol. Astropart. Phys. 10
2010
Cited alongside, same era.
W.-T. Ni, “Searches for the role of spin and polarization in gravity,” Rep. Prog. Phys. 73
2010
Cited alongside, same era.
2013
Later among the works it cites.
X. Yang, H.-R. Yu, and T.-J. Zhang, “Constraining smoothness parameter and the DD relation of Dyer-Roeder equation with supernovae,” J. Cosmol. Astropart. Phys. 06
2013
Later among the works it cites.
R. Aldrovandi and J. G. Pereira, Teleparallel Gravity (Springer, Dordrecht, 2013)
2013
Later among the works it cites.
V. Vitagliano, “The role of nonmetricity in metric-affine theories of gravity,” Classical Quantum Gravity 31
2014
Later among the works it cites.
A. Das, B. Mukhopadhyaya, and S. SenGupta, “Why has spacetime torsion such negligible effect on the Universe?” Phys. Rev. D 90
2014
Later among the works it cites.
J. A. S. Lima and I. Baranov, “Gravitationally induced particle production: Thermodynamics and kinetic theory,” Phys. Rev. D 90
2014
Later among the works it cites.
S. Santos-da-Costa, V. C. Busti, and R. F.L. Holanda, “Two new tests to the distance duality relation with galaxy clusters,” J. Cosmol. Astropart. Phys. 10
2015
Later among the works it cites.
K. Liao, A. Avgoustidis, and Z. Li, “Is the Universe transparent?” Phys. Rev. D 92
2015
Later among the works it cites.
P. Wu, Z. Li, X. Liu, and H. Yu, “Cosmic distance-duality relation test using type Ia supernovae and the baryon acoustic oscillation,” Phys. Rev. D 92
2015
Later among the works it cites.
A. Avgoustidis, R. T. Génova-Santos, G. Luzzi, and C. J. A. P. Martins, “Subpercent constraints on the cosmological temperature evolution,” Phys. Rev. D 93
2016
Later among the works it cites.
S. Räsänen, J. Väliviita, and V. Kosonen, “Testing distance duality with CMB anisotropies,” J. Cosmol. Astropart. Phys. 04
2016
Later among the works it cites.
E. Scholz, “Paving the way for transitions — a case for Weyl geometry,” in Towards a Theory of Spacetime Theories. Einstein Studies, Vol. 13. , edited by D. Lehmkuhl, G. Schiemann, and E. Scholz (Birkhäuser, New York, 2017) p. 171
2017
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