- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Weak lensing B modes on all scales as a probe of local isotropy

Cyril Pitrou and Jean-Philippe Uzan

Thiago S. Pereira

  • Institut d’Astrophysique de Paris, Université Pierre and Marie Curie - Paris VI, CNRS-UMR 7095, 98 bis, Bd Arago, 75014 Paris, France

  • Departamento de Física, Universidade Estadual de Londrina, 86051-990 Londrina, Paraná, Brazil

PDF

Phys. Rev. D 87, 043003 – Published 6 February, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.043003

Abstract

This article introduces a new multipolar hierarchy for the propagation of the weak-lensing shear, convergence, and twist valid in a general spacetime. Our approach is fully covariant and relies on no perturbative expansion. We show that the origin of B modes, in particular on large angular scales, is related to deviations of isotropy of the spacetime. Known results assuming a Friedmann-Lemaître background spacetime are naturally recovered. The example of a Bianchi I spacetime illustrates our formalism and its implications for future observations are stressed.

View figure in article

Article Text

References (26)

  1. Y. Mellier, Annu. Rev. Astron. Astrophys. 37, 127 (1999); M. Bartelmann and P. Schneider, Phys. Rep. 340, 291 (2001); D. Munshi, P. Valageas, L. van Waerbeke, and A. Heavens, 462, 67 (2008); D. Huterer, Gen. Relativ. Gravit. 42, 2177 (2010).
  2. J.-P. Uzan, Gen. Relativ. Gravit. 42, 2219 (2010); J.-P. Uzan and F. Bernardeau, Phys. Rev. D 64, 083004 (2001).
  3. P. Schneider, J. Ehlers, and E. E. Falco, Gravitational Lenses (Springer, New York, 1992); P. Peter and J.-P. Uzan, Primordial Cosmology (Oxford University, New York, 2009).
  4. A. Stebbins, arXiv:astro-ph/9609149.
  5. R. G. Crittenden, P. Natarajan, U.‐L. Pen, and T. Theuns, Astrophys. J. 559, 552 (2001); 568, 20 (2002).
  6. S. Hilbert, J. Hartlap, S. D. M. White, and P. Schneider, Astron. Astrophys. 499, 31 (2009).
  7. A. Cooray and W. Hu, Astrophys. J. 574, 19 (2002).
  8. P. Schneider, L. van Waerbeke, and Y. Mellier, Astron. Astrophys. 389, 729 (2002).
  9. M. Kilbinger, P. Schneider, and T. Eifler, Astron. Astrophys. 457, 15 (2006).
  10. P. Schneider and M. Kilbinger, Astron. Astrophys. 462, 841 (2007).
  11. C. Heymans et al., Mon. Not. R. Astron. Soc. 427, 144 (2012).
  12. C. Pitrou, T. S. Pereira, and J. P. Uzan (to be published).
  13. C. Clarkson, G. F. R. Ellis, A. Faltenbacher, R. Maartens, O. Umeh, and J.-P. Uzan, Mon. Not. R. Astron. Soc. 426, 1121 (2012).
  14. A. Lewis and A. Challinor, Phys. Rep. 429, 1 (2006).
  15. R. Sachs, Proc. R. Soc. A 264, 309 (1961).
  16. G. F. R. Ellis and H. van Elst, NATO Adv. Study Inst. Ser. C, Math. Phys. Sci. 541, 1 (1999).
  17. J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudarshan, J. Math. Phys. (N.Y.) 8, 2155 (1967).
  18. A. Pontzen and A. Challinor, Mon. Not. R. Astron. Soc. 380, 1387 (2007).
  19. W. Hu, Phys. Rev. D 62, 043007 (2000).
  20. F. Bernardeau, C. Bonvin, and F. Vernizzi, Phys. Rev. D 81, 083002 (2010).
  21. T. S. Pereira, C. Pitrou, and J.-P. Uzan, J. Cosmol. Astropart. Phys. 09 (2007) 006; C. Pitrou, T. S. Pereira, and J.-P. Uzan, 04 (2008) 004.
  22. A. Challinor and A. Lewis, Phys. Rev. D 71, 103010 (2005).
  23. A. Challinor and G. Chon, Phys. Rev. D 66, 127301 (2002).
  24. R. Laureijs et al., arXiv:1110.3193.
  25. L. Fu et al., Astron. Astrophys. 479, 9 (2008).
  26. M. J. Jee, J. A. Tyson, M. D. Schneider, D. Wittman, S. Schmidt, and S. Hilbert, arXiv:1210.2732 [Astrophys. J. (to be published)].

Outline

Information

Phys. Rev. D 87, 043003– Published 6 February, 2013
  • Received 11 April 2012

© 2013 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation