References
9
52. S.C. Su, E.A. Lim, Formulating weak lensing from the boltzmann equation and application
to lens-lens couplings. Phys. Rev. D89, 123006 (2014). https://doi.org/10.1103/PhysRevD.89.
123006, arXiv:1401.5737
53. C. Pitrou, T.S. Pereira, J.-P. Uzan, Weak-lensing by the large scale structure in a spatially
anisotropic universe: theory and predictions. Phys. Rev. D92, 023501 (2015). https://doi.org/
10.1103/PhysRevD.92.023501 arXiv:1503.01125
54. J. Yoo, R. Durrer, Gauge-transformation properties of cosmological observables and its application to the light-cone average. JCAP 1709, 016 (2017). https://doi.org/10.1088/1475-7516/
2017/09/016, arXiv:1705.05839
55. C. Hellaby, A. Walters, Calculating observables in inhomogeneous cosmologies. Part I: general framework. JCAP 1802, 015 (2018). https://doi.org/10.1088/1475-7516/2018/02/015,
arXiv:1708.01031
56. M. Korzy´ nski, J. Kopi´ nski, Optical drift effects in general relativity. JCAP 1803, 012 (2018).
https://doi.org/10.1088/1475-7516/2018/03/012. arXiv:1711.00584
57. J. Yoo, N. Grimm, E. Mitsou, A. Amara, A. Refregier, Gauge-invariant formalism of cosmological weak lensing. JCAP 1804, 029 (2018). https://doi.org/10.1088/1475-7516/2018/04/
029, arXiv:1802.03403
58. N. Grimm, J. Yoo, Jacobi mapping approach for a precise cosmological weak lensing formalism.
JCAP 1807, 067 (2018). https://doi.org/10.1088/1475-7516/2018/07/067, arXiv:1806.00017
59. M. Grasso, M. Korzy´ nski, J. Serbenta, Geometric optics in general relativity using bilocal operators. Phys. Rev. D99, 064038 (2019). https://doi.org/10.1103/PhysRevD.99.064038,
arXiv:1811.10284
60. O.H. Marcori, C. Pitrou, J.-P. Uzan, T.S. Pereira, Direction and redshift drifts for general
observers and their applications in cosmology. Phys. Rev. D98, 023517 (2018). https://doi.org/
10.1103/PhysRevD.98.023517, arXiv:1805.12121
61. E. Mitsou, J. Yoo, R. Durrer, F. Scaccabarozzi, V. Tansella, Angular N -point spectra and cosmic
variance on the light-cone. arXiv:1905.01293
62. J. Yoo, A.L. Fitzpatrick, M. Zaldarriaga, A new perspective on galaxy clustering as a cosmological probe: general relativistic effects. Phys. Rev. D80, 083514 (2009). https://doi.org/10.
1103/PhysRevD.80.083514, arXiv:0907.0707
63. J. Yoo, General relativistic description of the observed galaxy power spectrum: do we understand what we measure? Phys. Rev. D82, 083508 (2010). https://doi.org/10.1103/PhysRevD.
82.083508, arXiv:1009.3021
64. S.G. Biern, J. Yoo, Gauge-invariance and infrared divergences in the luminosity distance. JCAP
1704, 045 (2017). https://doi.org/10.1088/1475-7516/2017/04/045, arXiv:1606.01910
65. S.G. Biern, J. Yoo, Correlation function of the luminosity distances. JCAP 1709, 026 (2017).
https://doi.org/10.1088/1475-7516/2017/09/026, arXiv:1704.07380
66. F. Scaccabarozzi, J. Yoo, Light-cone observables and gauge-invariance in the geodesic lightcone formalism. JCAP 1706, 007 (2017). https://doi.org/10.1088/1475-7516/2017/06/007,
arXiv:1703.08552
67. F. Scaccabarozzi, J. Yoo, S.G. Biern, Galaxy two-point correlation function in general relativity.
JCAP 1810, 024 (2018). https://doi.org/10.1088/1475-7516/2018/10/024, arXiv:807.09796
68. J. Yepez, Einstein’s vierbein field theory of curved space. arXiv:1106.2037
69. G.F.R. Ellis, S.D. Nel, R. Maartens, W.R. Stoeger, A.P. Whitman, Ideal observational cosmology. Phys. Rep. 124, 315 (1985). https://doi.org/10.1016/0370-1573(85)90030-4
70. F. Nugier, Lightcone averaging and precision cosmology. (UPMC, Paris (main), 2013).
arXiv:1309.6542
71. M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Light-cone averaging in cosmology: formalism and applications. JCAP 1107, 008 (2011). https://doi.org/10.1088/1475-7516/2011/
07/008, arXiv:1104.1167
72. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Backreaction on the
luminosity-redshift relation from gauge invariant light-cone averaging. JCAP 1204, 036 (2012).
https://doi.org/10.1088/1475-7516/2012/04/036, arXiv:1202.1247
9
52. S.C. Su, E.A. Lim, Formulating weak lensing from the boltzmann equation and application
to lens-lens couplings. Phys. Rev. D89, 123006 (2014). https://doi.org/10.1103/PhysRevD.89.
123006, arXiv:1401.5737
53. C. Pitrou, T.S. Pereira, J.-P. Uzan, Weak-lensing by the large scale structure in a spatially
anisotropic universe: theory and predictions. Phys. Rev. D92, 023501 (2015). https://doi.org/
10.1103/PhysRevD.92.023501 arXiv:1503.01125
54. J. Yoo, R. Durrer, Gauge-transformation properties of cosmological observables and its application to the light-cone average. JCAP 1709, 016 (2017). https://doi.org/10.1088/1475-7516/
2017/09/016, arXiv:1705.05839
55. C. Hellaby, A. Walters, Calculating observables in inhomogeneous cosmologies. Part I: general framework. JCAP 1802, 015 (2018). https://doi.org/10.1088/1475-7516/2018/02/015,
arXiv:1708.01031
56. M. Korzy´ nski, J. Kopi´ nski, Optical drift effects in general relativity. JCAP 1803, 012 (2018).
https://doi.org/10.1088/1475-7516/2018/03/012. arXiv:1711.00584
57. J. Yoo, N. Grimm, E. Mitsou, A. Amara, A. Refregier, Gauge-invariant formalism of cosmological weak lensing. JCAP 1804, 029 (2018). https://doi.org/10.1088/1475-7516/2018/04/
029, arXiv:1802.03403
58. N. Grimm, J. Yoo, Jacobi mapping approach for a precise cosmological weak lensing formalism.
JCAP 1807, 067 (2018). https://doi.org/10.1088/1475-7516/2018/07/067, arXiv:1806.00017
59. M. Grasso, M. Korzy´ nski, J. Serbenta, Geometric optics in general relativity using bilocal operators. Phys. Rev. D99, 064038 (2019). https://doi.org/10.1103/PhysRevD.99.064038,
arXiv:1811.10284
60. O.H. Marcori, C. Pitrou, J.-P. Uzan, T.S. Pereira, Direction and redshift drifts for general
observers and their applications in cosmology. Phys. Rev. D98, 023517 (2018). https://doi.org/
10.1103/PhysRevD.98.023517, arXiv:1805.12121
61. E. Mitsou, J. Yoo, R. Durrer, F. Scaccabarozzi, V. Tansella, Angular N -point spectra and cosmic
variance on the light-cone. arXiv:1905.01293
62. J. Yoo, A.L. Fitzpatrick, M. Zaldarriaga, A new perspective on galaxy clustering as a cosmological probe: general relativistic effects. Phys. Rev. D80, 083514 (2009). https://doi.org/10.
1103/PhysRevD.80.083514, arXiv:0907.0707
63. J. Yoo, General relativistic description of the observed galaxy power spectrum: do we understand what we measure? Phys. Rev. D82, 083508 (2010). https://doi.org/10.1103/PhysRevD.
82.083508, arXiv:1009.3021
64. S.G. Biern, J. Yoo, Gauge-invariance and infrared divergences in the luminosity distance. JCAP
1704, 045 (2017). https://doi.org/10.1088/1475-7516/2017/04/045, arXiv:1606.01910
65. S.G. Biern, J. Yoo, Correlation function of the luminosity distances. JCAP 1709, 026 (2017).
https://doi.org/10.1088/1475-7516/2017/09/026, arXiv:1704.07380
66. F. Scaccabarozzi, J. Yoo, Light-cone observables and gauge-invariance in the geodesic lightcone formalism. JCAP 1706, 007 (2017). https://doi.org/10.1088/1475-7516/2017/06/007,
arXiv:1703.08552
67. F. Scaccabarozzi, J. Yoo, S.G. Biern, Galaxy two-point correlation function in general relativity.
JCAP 1810, 024 (2018). https://doi.org/10.1088/1475-7516/2018/10/024, arXiv:807.09796
68. J. Yepez, Einstein’s vierbein field theory of curved space. arXiv:1106.2037
69. G.F.R. Ellis, S.D. Nel, R. Maartens, W.R. Stoeger, A.P. Whitman, Ideal observational cosmology. Phys. Rep. 124, 315 (1985). https://doi.org/10.1016/0370-1573(85)90030-4
70. F. Nugier, Lightcone averaging and precision cosmology. (UPMC, Paris (main), 2013).
arXiv:1309.6542
71. M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Light-cone averaging in cosmology: formalism and applications. JCAP 1107, 008 (2011). https://doi.org/10.1088/1475-7516/2011/
07/008, arXiv:1104.1167
72. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Backreaction on the
luminosity-redshift relation from gauge invariant light-cone averaging. JCAP 1204, 036 (2012).
https://doi.org/10.1088/1475-7516/2012/04/036, arXiv:1202.1247