8
1 Introduction and Summary
32. K. Koyama, O. Umeh, R. Maartens, D. Bertacca, The observed galaxy bispectrum from singlefield inflation in the squeezed limit. JCAP 1807, 050 (2018). https://doi.org/10.1088/14757516/2018/07/050, arXiv:1805.09189
33. E. Di Dio, R. Durrer, R. Maartens, F. Montanari, O. Umeh, The full-sky angular bispectrum
in redshift space. JCAP 1904, 053 (2019). https://doi.org/10.1088/1475-7516/2019/04/053,
arXiv:1812.09297
34. C. Clarkson, E.M. de Weerd, S. Jolicoeur, R. Maartens, O. Umeh, The dipole of the galaxy
bispectrum. Mon. Not. Roy. Astron. Soc. 486, L101 (2019). https://doi.org/10.1093/mnrasl/
slz066, arXiv:1812.09512
35. M. Jalilvand, B. Ghosh, E. Majerotto, B. Bose, R. Durrer, M. Kunz, Non-linear contributions
to angular power spectra. arXiv:1907.13109
36. J.L. Fuentes, J.C. Hidalgo, K.A. Malik, Galaxy number counts at second order: an independent
approach. arXiv:1908.08400
37. F. Bernardeau, C. Bonvin, F. Vernizzi, Full-sky lensing shear at second order. Phys. Rev. D81,
083002 (2010). https://doi.org/10.1103/PhysRevD.81.083002, arXiv:0911.2244
38. F. Bernardeau, C. Bonvin, N. Van de Rijt, F. Vernizzi, Cosmic shear bispectrum from secondorder perturbations in general relativity. Phys. Rev. D86, 023001 (2012). https://doi.org/10.
1103/PhysRevD.86.023001, arXiv:1112.4430
39. O. Umeh, C. Clarkson, R. Maartens, Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: I. Key results. Class. Quant. Grav. 31,
202001 (2014). https://doi.org/10.1088/0264-9381/31/20/202001, arXiv:1207.2109
40. O. Umeh, C. Clarkson, R. Maartens, Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation. Class. Quant. Grav. 31,
205001 (2014). https://doi.org/10.1088/0264-9381/31/20/205001, arXiv:1402.1933
41. S. Andrianomena, C. Clarkson, P. Patel, O. Umeh, J.-P. Uzan, Non-linear relativistic contributions to the cosmological weak-lensing convergence. JCAP 1406, 023 (2014). https://doi.org/
10.1088/1475-7516/2014/06/023, arXiv:1402.4350
42. G. Marozzi, The luminosity distance–redshift relation up to second order in the poisson gauge
with anisotropic stress. Class. Quant. Grav. 32, 045004 (2015). https://doi.org/10.1088/0249381/32/17/179501, https://doi.org/10.1088/0264-9381/32/4/045004, arXiv:1406.1135
43. C. Bonvin, C. Clarkson, R. Durrer, R. Maartens, O. Umeh, Cosmological ensemble and directional averages of observables. JCAP 1507, 040 (2015). https://doi.org/10.1088/1475-7516/
2015/07/040, arXiv:1504.01676
44. G. Fanizza, J. Yoo, S.G. Biern, Non-linear general relativistic effects in the observed redshift.
JCAP 1809, 037 (2018). https://doi.org/10.1088/1475-7516/2018/09/037, arXiv:1805.05959
45. H.A. Gressel, C. Bonvin, M. Bruni. D. Bacon, Full-sky weak lensing: a nonlinear postFriedmann treatment. JCAP 1905, 045 (2019). https://doi.org/10.1088/1475-7516/2019/05/
045, arXiv:1902.00059
46. A. Challinor, Microwave background polarization in cosmological models. Phys. Rev. D62,
043004 (2000). https://doi.org/10.1103/PhysRevD.62.043004, arXiv:astro-ph/9911481
47. A. Challinor, F. van Leeuwen, Peculiar velocity effects in high resolution microwave background experiments. Phys. Rev. D65, 103001 (2002). https://doi.org/10.1103/PhysRevD.65.
103001, arXiv:astro-ph/0112457
48. V. Perlick, Gravitational Lensing from a Spacetime Perspective. Living Rev. Rel. (2010)
arXiv:1010.3416
49. C. Pitrou, J.-P. Uzan, T.S. Pereira, Weak lensing B-modes on all scales as a probe of
local isotropy. Phys. Rev. D87, 043003 (2013). https://doi.org/10.1103/PhysRevD.87.043003,
arXiv:1203.6029
50. J. Yoo, Relativistic effect in galaxy clustering. Class. Quant. Grav. 31, 234001 (2014). https://
doi.org/10.1088/0264-9381/31/23/234001, arXiv:1409.3223
51. J. Yoo, M. Zaldarriaga, Beyond the linear-order relativistic effect in galaxy clustering: secondorder gauge-invariant formalism. Phys. Rev. D90, 023513 (2014). https://doi.org/10.1103/
PhysRevD.90.023513, arXiv:1406.4140
1 Introduction and Summary
32. K. Koyama, O. Umeh, R. Maartens, D. Bertacca, The observed galaxy bispectrum from singlefield inflation in the squeezed limit. JCAP 1807, 050 (2018). https://doi.org/10.1088/14757516/2018/07/050, arXiv:1805.09189
33. E. Di Dio, R. Durrer, R. Maartens, F. Montanari, O. Umeh, The full-sky angular bispectrum
in redshift space. JCAP 1904, 053 (2019). https://doi.org/10.1088/1475-7516/2019/04/053,
arXiv:1812.09297
34. C. Clarkson, E.M. de Weerd, S. Jolicoeur, R. Maartens, O. Umeh, The dipole of the galaxy
bispectrum. Mon. Not. Roy. Astron. Soc. 486, L101 (2019). https://doi.org/10.1093/mnrasl/
slz066, arXiv:1812.09512
35. M. Jalilvand, B. Ghosh, E. Majerotto, B. Bose, R. Durrer, M. Kunz, Non-linear contributions
to angular power spectra. arXiv:1907.13109
36. J.L. Fuentes, J.C. Hidalgo, K.A. Malik, Galaxy number counts at second order: an independent
approach. arXiv:1908.08400
37. F. Bernardeau, C. Bonvin, F. Vernizzi, Full-sky lensing shear at second order. Phys. Rev. D81,
083002 (2010). https://doi.org/10.1103/PhysRevD.81.083002, arXiv:0911.2244
38. F. Bernardeau, C. Bonvin, N. Van de Rijt, F. Vernizzi, Cosmic shear bispectrum from secondorder perturbations in general relativity. Phys. Rev. D86, 023001 (2012). https://doi.org/10.
1103/PhysRevD.86.023001, arXiv:1112.4430
39. O. Umeh, C. Clarkson, R. Maartens, Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification: I. Key results. Class. Quant. Grav. 31,
202001 (2014). https://doi.org/10.1088/0264-9381/31/20/202001, arXiv:1207.2109
40. O. Umeh, C. Clarkson, R. Maartens, Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation. Class. Quant. Grav. 31,
205001 (2014). https://doi.org/10.1088/0264-9381/31/20/205001, arXiv:1402.1933
41. S. Andrianomena, C. Clarkson, P. Patel, O. Umeh, J.-P. Uzan, Non-linear relativistic contributions to the cosmological weak-lensing convergence. JCAP 1406, 023 (2014). https://doi.org/
10.1088/1475-7516/2014/06/023, arXiv:1402.4350
42. G. Marozzi, The luminosity distance–redshift relation up to second order in the poisson gauge
with anisotropic stress. Class. Quant. Grav. 32, 045004 (2015). https://doi.org/10.1088/0249381/32/17/179501, https://doi.org/10.1088/0264-9381/32/4/045004, arXiv:1406.1135
43. C. Bonvin, C. Clarkson, R. Durrer, R. Maartens, O. Umeh, Cosmological ensemble and directional averages of observables. JCAP 1507, 040 (2015). https://doi.org/10.1088/1475-7516/
2015/07/040, arXiv:1504.01676
44. G. Fanizza, J. Yoo, S.G. Biern, Non-linear general relativistic effects in the observed redshift.
JCAP 1809, 037 (2018). https://doi.org/10.1088/1475-7516/2018/09/037, arXiv:1805.05959
45. H.A. Gressel, C. Bonvin, M. Bruni. D. Bacon, Full-sky weak lensing: a nonlinear postFriedmann treatment. JCAP 1905, 045 (2019). https://doi.org/10.1088/1475-7516/2019/05/
045, arXiv:1902.00059
46. A. Challinor, Microwave background polarization in cosmological models. Phys. Rev. D62,
043004 (2000). https://doi.org/10.1103/PhysRevD.62.043004, arXiv:astro-ph/9911481
47. A. Challinor, F. van Leeuwen, Peculiar velocity effects in high resolution microwave background experiments. Phys. Rev. D65, 103001 (2002). https://doi.org/10.1103/PhysRevD.65.
103001, arXiv:astro-ph/0112457
48. V. Perlick, Gravitational Lensing from a Spacetime Perspective. Living Rev. Rel. (2010)
arXiv:1010.3416
49. C. Pitrou, J.-P. Uzan, T.S. Pereira, Weak lensing B-modes on all scales as a probe of
local isotropy. Phys. Rev. D87, 043003 (2013). https://doi.org/10.1103/PhysRevD.87.043003,
arXiv:1203.6029
50. J. Yoo, Relativistic effect in galaxy clustering. Class. Quant. Grav. 31, 234001 (2014). https://
doi.org/10.1088/0264-9381/31/23/234001, arXiv:1409.3223
51. J. Yoo, M. Zaldarriaga, Beyond the linear-order relativistic effect in galaxy clustering: secondorder gauge-invariant formalism. Phys. Rev. D90, 023513 (2014). https://doi.org/10.1103/
PhysRevD.90.023513, arXiv:1406.4140