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G. Temple, New Systems of Normal Co-ordinates for Relativistic Optics
1938
Earlier work this paper cites.
B. Bertotti, The Luminosity of Distant Galaxies
1966
Earlier work this paper cites.
P. T. Saunders, Observations in homogeneous model universes
1968
Earlier work this paper cites.
G. F. R. Ellis and M. A. H. MacCallum, A class of homogeneous cosmological models
1969
Earlier work this paper cites.
P. T. Saunders, Observations in some simple cosmological models with shear
1969
Earlier work this paper cites.
S. Weinberg, Apparent luminosities in a locally inhomogeneous universe
1976
Earlier work this paper cites.
PhD thesis, University of Cape Town, 1980
R. Maartens, Idealised observations in relativistic cosmology · 1980
Earlier work this paper cites.
G. F. R. Ellis, S. D. Nel, R. Maartens, W. R. Stoeger, and A. P. Whitman, Ideal observational cosmology
1985
Earlier work this paper cites.
R. Maartens and D. R. Matravers, Isotropic and semi-isotropic observations in cosmology
1994
Earlier work this paper cites.
N. Mustapha, C. Hellaby, and G. F. R. Ellis, Large scale inhomogeneity versus source evolution: Can we distinguish them observationally?
1997
Earlier work this paper cites.
N. Mustapha, B. A. Bassett, C. Hellaby, and G. F. R. Ellis, Shrinking 2. The Distortion of the area distance redshift relation in inhomogeneous isotropic universes
1998
Earlier work this paper cites.
G. F. R. Ellis, B. A. Bassett, and P. K. S. Dunsby, Lensing and caustic effects on cosmological distances
1998
Earlier work this paper cites.
G. F. R. Ellis and D. M. Solomons, Caustics of compensated spherical lens models
1998
Earlier work this paper cites.
M. Bucher and D. N. Spergel, Is the dark matter a solid?
1999
Earlier work this paper cites.
T. S. Kolatt and O. Lahav, Constraints on cosmological anisotropy out to z = 1 from Type Ia supernovae
2001
Earlier work this paper cites.
T. Damour, I. I. Kogan, and A. Papazoglou, Nonlinear bigravity and cosmic acceleration
2002
Earlier work this paper cites.
T. W. B. Kibble and R. Lieu, Average Magnification Effect of Clumping of Matter
2005
Earlier work this paper cites.
D. J. Schwarz and B. Weinhorst, (An)isotropy of the Hubble diagram: comparing hemispheres
Original
2007
Earlier work this paper cites.
D. Mota, J. Kristiansen, T. Koivisto, and N. Groeneboom, Constraining Dark Energy Anisotropic Stress
Original
2007
Earlier work this paper cites.
T. Koivisto and D. F. Mota, Anisotropic dark energy: dynamics of the background and perturbations
Original
2008
Earlier work this paper cites.
J. Garcia-Bellido and T. Haugboelle, Looking the void in the eyes - the kSZ effect in LTB models
Original
2008
Earlier work this paper cites.
T. Koivisto and D. F. Mota, Accelerating Cosmologies with an Anisotropic Equation of State
Original
2008
Earlier work this paper cites.

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2016

Geodesic-light-cone coordinates and the Bianchi I spacetime

Fleury, Pierre, Nugier, Fabien, Fanizza, Giuseppe

Understand

The geodesic-light-cone (GLC) coordinates are a useful tool to analyse light propagation and observations in cosmological models.

In this article, we propose a detailed, pedagogical, and rigorous introduction to this coordinate system, explore its gauge degrees of freedom, and emphasize its interest when geometric optics is at stake.
We then apply the GLC formalism to the homogeneous and anisotropic Bianchi I cosmology.
More than a simple illustration, this application (i) allows us to show that the Weinberg conjecture according to which gravitational lensing does not affect the proper area of constant-redshift surfaces is significantly violated in a globally anisotropic universe; and (ii) offers a glimpse into new ways to constrain cosmic isotropy from the Hubble diagram.

Built on

G. Temple, New Systems of Normal Co-ordinates for Relativistic Optics
1938
Earlier work this paper cites.
B. Bertotti, The Luminosity of Distant Galaxies
1966
Earlier work this paper cites.
P. T. Saunders, Observations in homogeneous model universes
1968
Earlier work this paper cites.
G. F. R. Ellis and M. A. H. MacCallum, A class of homogeneous cosmological models
1969
Earlier work this paper cites.
P. T. Saunders, Observations in some simple cosmological models with shear
1969
Earlier work this paper cites.
S. Weinberg, Apparent luminosities in a locally inhomogeneous universe
1976
Earlier work this paper cites.
PhD thesis, University of Cape Town, 1980
R. Maartens, Idealised observations in relativistic cosmology · 1980
Earlier work this paper cites.
G. F. R. Ellis, S. D. Nel, R. Maartens, W. R. Stoeger, and A. P. Whitman, Ideal observational cosmology
1985
Earlier work this paper cites.
R. Maartens and D. R. Matravers, Isotropic and semi-isotropic observations in cosmology
1994
Earlier work this paper cites.
N. Mustapha, C. Hellaby, and G. F. R. Ellis, Large scale inhomogeneity versus source evolution: Can we distinguish them observationally?
1997
Earlier work this paper cites.
N. Mustapha, B. A. Bassett, C. Hellaby, and G. F. R. Ellis, Shrinking 2. The Distortion of the area distance redshift relation in inhomogeneous isotropic universes
1998
Earlier work this paper cites.
G. F. R. Ellis, B. A. Bassett, and P. K. S. Dunsby, Lensing and caustic effects on cosmological distances
1998
Earlier work this paper cites.
G. F. R. Ellis and D. M. Solomons, Caustics of compensated spherical lens models
1998
Earlier work this paper cites.
M. Bucher and D. N. Spergel, Is the dark matter a solid?
1999
Earlier work this paper cites.
T. S. Kolatt and O. Lahav, Constraints on cosmological anisotropy out to z = 1 from Type Ia supernovae
2001
Earlier work this paper cites.
T. Damour, I. I. Kogan, and A. Papazoglou, Nonlinear bigravity and cosmic acceleration
2002
Earlier work this paper cites.
T. W. B. Kibble and R. Lieu, Average Magnification Effect of Clumping of Matter
2005
Earlier work this paper cites.
D. J. Schwarz and B. Weinhorst, (An)isotropy of the Hubble diagram: comparing hemispheres
Original
2007
Earlier work this paper cites.
D. Mota, J. Kristiansen, T. Koivisto, and N. Groeneboom, Constraining Dark Energy Anisotropic Stress
Original
2007
Earlier work this paper cites.
T. Koivisto and D. F. Mota, Anisotropic dark energy: dynamics of the background and perturbations
Original
2008
Earlier work this paper cites.
J. Garcia-Bellido and T. Haugboelle, Looking the void in the eyes - the kSZ effect in LTB models
Original
2008
Earlier work this paper cites.
T. Koivisto and D. F. Mota, Accelerating Cosmologies with an Anisotropic Equation of State
Original
2008
Earlier work this paper cites.