10
1 Introduction and Summary
73. I. Ben-Dayan, G. Marozzi, F. Nugier, G. Veneziano, The second-order luminosity-redshift
relation in a generic inhomogeneous cosmology. JCAP 1211, 045 (2012). https://doi.org/10.
1088/1475-7516/2012/11/045, arXiv:1209.4326
74. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Do stochastic inhomogeneities affect dark-energy precision measurements? Phys. Rev. Lett. 110, 021301 (2013).
https://doi.org/10.1103/PhysRevLett.110.021301, arXiv:1207.1286
75. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Average and dispersion of
the luminosity-redshift relation in the concordance model. JCAP 1306, 002 (2013). https://doi.
org/10.1088/1475-7516/2013/06/002, arXiv:1302.0740
76. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, An exact Jacobi map in the geodesic
light-cone gauge. JCAP 1311, 019 (2013). https://doi.org/10.1088/1475-7516/2013/11/019,
arXiv:1308.4935
77. G. Fanizza, F. Nugier, Lensing in the geodesic light-cone coordinates and its (exact) illustration
to an off-center observer in Lemaître-Tolman-Bondi models. JCAP 1502, 002 (2015). https://
doi.org/10.1088/1475-7516/2015/02/002, arXiv:1408.1604
78. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, A new approach to the propagation of
light-like signals in perturbed cosmological backgrounds. JCAP 1508, 020 (2015). https://doi.
org/10.1088/1475-7516/2015/08/020, arXiv:1506.02003
79. P. Fleury, F. Nugier, G. Fanizza, Geodesic-light-cone coordinates and the Bianchi I spacetime.
JCAP 1606, 008 (2016). https://doi.org/10.1088/1475-7516/2016/06/008, arXiv:1602.04461
80. E. Mitsou, F. Scaccabarozzi, G. Fanizza, Observed angles and geodesic light-cone coordinates. Class. Quant. Grav. 35, 107002 (2018). https://doi.org/10.1088/1361-6382/aab06b,
arXiv:1712.05675
81. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, Observation angles, Fermi coordinates,
and the Geodesic-Light-Cone gauge. JCAP 1901, 004 (2019). https://doi.org/10.1088/14757516/2019/01/004, arXiv:1812.03671
82. C. Clarkson, Roulettes: a weak lensing formalism for strong lensing - I. Overview.
Class. Quant. Grav. 33, 16LT01 (2016). https://doi.org/10.1088/0264-9381/33/16/16LT01,
arXiv:1603.04698
83. C. Clarkson, Roulettes: a weak lensing formalism for strong lensing - II. Derivation and analysis. Class. Quant. Grav. 33, 245003 (2016). https://doi.org/10.1088/0264-9381/33/24/245003,
arXiv:1603.04652
84. P. Fleury, J. Larena, J.-P. Uzan, Weak gravitational lensing of finite beams. Phys. Rev. Lett.
119, 191101 (2017). https://doi.org/10.1103/PhysRevLett.119.191101, arXiv:1706.09383
85. P. Fleury, J. Larena, J.-P. Uzan, Cosmic convergence and shear with extended sources. Phys.
Rev. D99, 023525 (2019). https://doi.org/10.1103/PhysRevD.99.023525, arXiv:1809.03919
86. P. Fleury, J. Larena, J.-P. Uzan, Weak lensing distortions beyond shear. Phys. Rev. D99, 023526
(2019). https://doi.org/10.1103/PhysRevD.99.023526. arXiv:1809.03924
87. C. Pitrou, The radiative transfer for polarized radiation at second order in cosmological
perturbations. Gen. Rel. Grav. 41, 2587 (2009). https://doi.org/10.1007/s10714-009-07821, arXiv:0809.3245
88. C. Pitrou, The radiative transfer at second order: a full treatment of the boltzmann equation
with polarization. Class. Quant. Grav. 26, 065006 (2009). https://doi.org/10.1088/0264-9381/
26/6/065006, arXiv:0809.3036
89. M. Beneke, C. Fidler, Boltzmann hierarchy for the cosmic microwave background at second
order including photon polarization. Phys. Rev. D82, 063509 (2010). https://doi.org/10.1103/
PhysRevD.82.063509. arXiv:1003.1834
90. A. Naruko, C. Pitrou, K. Koyama, M. Sasaki, Second-order Boltzmann equation: gauge dependence and gauge invariance. Class. Quant. Grav. 30, 165008 (2013). https://doi.org/10.1088/
0264-9381/30/16/165008, arXiv:1304.6929
91. C. Fidler, C. Pitrou, Kinetic theory of fermions in curved spacetime. JCAP 1706, 013 (2017).
https://doi.org/10.1088/1475-7516/2017/06/013, arXiv:1701.08844
92. C. Pitrou, Radiative transport of relativistic species in cosmology. arXiv:1902.09456
1 Introduction and Summary
73. I. Ben-Dayan, G. Marozzi, F. Nugier, G. Veneziano, The second-order luminosity-redshift
relation in a generic inhomogeneous cosmology. JCAP 1211, 045 (2012). https://doi.org/10.
1088/1475-7516/2012/11/045, arXiv:1209.4326
74. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Do stochastic inhomogeneities affect dark-energy precision measurements? Phys. Rev. Lett. 110, 021301 (2013).
https://doi.org/10.1103/PhysRevLett.110.021301, arXiv:1207.1286
75. I. Ben-Dayan, M. Gasperini, G. Marozzi, F. Nugier, G. Veneziano, Average and dispersion of
the luminosity-redshift relation in the concordance model. JCAP 1306, 002 (2013). https://doi.
org/10.1088/1475-7516/2013/06/002, arXiv:1302.0740
76. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, An exact Jacobi map in the geodesic
light-cone gauge. JCAP 1311, 019 (2013). https://doi.org/10.1088/1475-7516/2013/11/019,
arXiv:1308.4935
77. G. Fanizza, F. Nugier, Lensing in the geodesic light-cone coordinates and its (exact) illustration
to an off-center observer in Lemaître-Tolman-Bondi models. JCAP 1502, 002 (2015). https://
doi.org/10.1088/1475-7516/2015/02/002, arXiv:1408.1604
78. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, A new approach to the propagation of
light-like signals in perturbed cosmological backgrounds. JCAP 1508, 020 (2015). https://doi.
org/10.1088/1475-7516/2015/08/020, arXiv:1506.02003
79. P. Fleury, F. Nugier, G. Fanizza, Geodesic-light-cone coordinates and the Bianchi I spacetime.
JCAP 1606, 008 (2016). https://doi.org/10.1088/1475-7516/2016/06/008, arXiv:1602.04461
80. E. Mitsou, F. Scaccabarozzi, G. Fanizza, Observed angles and geodesic light-cone coordinates. Class. Quant. Grav. 35, 107002 (2018). https://doi.org/10.1088/1361-6382/aab06b,
arXiv:1712.05675
81. G. Fanizza, M. Gasperini, G. Marozzi, G. Veneziano, Observation angles, Fermi coordinates,
and the Geodesic-Light-Cone gauge. JCAP 1901, 004 (2019). https://doi.org/10.1088/14757516/2019/01/004, arXiv:1812.03671
82. C. Clarkson, Roulettes: a weak lensing formalism for strong lensing - I. Overview.
Class. Quant. Grav. 33, 16LT01 (2016). https://doi.org/10.1088/0264-9381/33/16/16LT01,
arXiv:1603.04698
83. C. Clarkson, Roulettes: a weak lensing formalism for strong lensing - II. Derivation and analysis. Class. Quant. Grav. 33, 245003 (2016). https://doi.org/10.1088/0264-9381/33/24/245003,
arXiv:1603.04652
84. P. Fleury, J. Larena, J.-P. Uzan, Weak gravitational lensing of finite beams. Phys. Rev. Lett.
119, 191101 (2017). https://doi.org/10.1103/PhysRevLett.119.191101, arXiv:1706.09383
85. P. Fleury, J. Larena, J.-P. Uzan, Cosmic convergence and shear with extended sources. Phys.
Rev. D99, 023525 (2019). https://doi.org/10.1103/PhysRevD.99.023525, arXiv:1809.03919
86. P. Fleury, J. Larena, J.-P. Uzan, Weak lensing distortions beyond shear. Phys. Rev. D99, 023526
(2019). https://doi.org/10.1103/PhysRevD.99.023526. arXiv:1809.03924
87. C. Pitrou, The radiative transfer for polarized radiation at second order in cosmological
perturbations. Gen. Rel. Grav. 41, 2587 (2009). https://doi.org/10.1007/s10714-009-07821, arXiv:0809.3245
88. C. Pitrou, The radiative transfer at second order: a full treatment of the boltzmann equation
with polarization. Class. Quant. Grav. 26, 065006 (2009). https://doi.org/10.1088/0264-9381/
26/6/065006, arXiv:0809.3036
89. M. Beneke, C. Fidler, Boltzmann hierarchy for the cosmic microwave background at second
order including photon polarization. Phys. Rev. D82, 063509 (2010). https://doi.org/10.1103/
PhysRevD.82.063509. arXiv:1003.1834
90. A. Naruko, C. Pitrou, K. Koyama, M. Sasaki, Second-order Boltzmann equation: gauge dependence and gauge invariance. Class. Quant. Grav. 30, 165008 (2013). https://doi.org/10.1088/
0264-9381/30/16/165008, arXiv:1304.6929
91. C. Fidler, C. Pitrou, Kinetic theory of fermions in curved spacetime. JCAP 1706, 013 (2017).
https://doi.org/10.1088/1475-7516/2017/06/013, arXiv:1701.08844
92. C. Pitrou, Radiative transport of relativistic species in cosmology. arXiv:1902.09456