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Cluster density profiles as a test of modified gravity

Lucas Lombriser1,2, Fabian Schmidt3, Tobias Baldauf2, Rachel Mandelbaum4,5, Uroš Seljak2,6,7, and Robert E. Smith2,8

  • 1Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth, PO1 3FX, UK
  • 2Institute for Theoretical Physics, University of Zurich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
  • 3Theoretical Astrophysics, California Institute of Technology M/C 350-17, Pasadena, California 91125, USA
  • 4Princeton University Observatory, Peyton Hall, Princeton, New Jersey 08544, USA
  • 5Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
  • 6Physics and Astronomy Department, University of California, and Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 7Ewha University, Seoul 120-750, Korea
  • 8Argelander-Institute for Astronomy, Auf dem Hügel 71, D-53121 Bonn, Germany

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Phys. Rev. D 85, 102001 – Published 9 May, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.102001

Abstract

We present a new test of gravitational interactions at the r≃(0.2–20)  Mpc scale, around the virial radius of dark matter halos measured through cluster-galaxy lensing of maxBCG clusters from the Sloan Digital Sky Survey (SDSS). We employ predictions from self-consistent simulations of f(R) gravity to find an upper bound on the background field amplitude of |fR0|<3.5×10−3 at the 1D-marginalized 95% confidence level. As a model-independent assessment of the constraining power of cluster profiles measured through weak gravitational lensing, we also constrain the amplitude F0 of a phenomenological modification based on the profile enhancement induced by f(R) gravity when not including effects from the increased cluster abundance in f(R). In both scenarios, dark-matter-only simulations of the concordance model corresponding to |fR0|=0 and F0=0 are consistent with the lensing measurements, i.e., at the 68% and 95% confidence level, respectively.

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References (115)

  1. C. M. Will, Living Rev. Relativity 9, 3 (2005).
  2. W. Fang S. Wang, W. Hu, Z. Haiman,L. Hui, and M. May, Phys. Rev. D 78, 103509 (2008).
  3. L. Lombriser, W. Hu, W. Fang, and U. Seljak, Phys. Rev. D 80, 063536 (2009).
  4. R. Reyes, R. Mandelbaum, U. Seljak, T. Baldauf, J. E. Gunn, L. Lombriser, R. E. Smith, Nature (London) 464, 256 (2010).
  5. Y.-S. Song, H. Peiris, and W. Hu, Phys. Rev. D 76, 063517 (2007).
  6. T. Giannantonio, M. Martinelli, A. Silvestri, and A. Melchiorri, J. Cosmol. Astropart. Phys. 04 (2010) 030.
  7. L. Lombriser, A. Slosar, U. Seljak, and W. Hu, arXiv:1003.3009.
  8. A. Hojjati, L. Pogosian, and G.-B. Zhao, J. Cosmol. Astropart. Phys. 08 (2011) 005.
  9. F. Schmidt, A. Vikhlinin, and W. Hu, Phys. Rev. D 80, 083505 (2009).
  10. C. Di Porto and L. Amendola, Phys. Rev. D 77, 083508 (2008).
  11. D. Rapetti, S. W. Allen, A. Mantz, and H. Ebeling, Mon. Not. R. Astron. Soc. 400, 699 (2009).
  12. S. F. Daniel, R. R. Caldwell, A. Cooray, P. Serra, and A. Melchiorri, Phys. Rev. D 80, 023532 (2009).
  13. D. Rapetti, S. W. Allen, A. Mantz, and H. Ebeling, Mon. Not. R. Astron. Soc. 406, 1796 (2010).
  14. R. Bean and M. Tangmatitham, Phys. Rev. D 81, 083534 (2010).
  15. S. F. Daniel, E. E. V. Linder, T. L. Smith, R. R. Caldwell, A. Cooray, A. Leauthaud, and L. Lombriser, Phys. Rev. D 81, 123508 (2010).
  16. S. F. Daniel and E. V. Linder, Phys. Rev. D 82, 103523 (2010).
  17. J. Dossett, M. Ishak, J. Moldenhauer, Y. Gong, and A. Wang, J. Cosmol. Astropart. Phys. 04 (2010) 022.
  18. I. Tereno, E. Semboloni, and T. Schrabback, Astron. Astrophys. 530, A68 (2011).
  19. G.-B. Zhao, T. Giannantonio, L. Pogosian, A. Silvestri, D. J. Bacon, K. Koyama, R. C. Nichol, and Y. -S. Song, Phys. Rev. D 81, 103510 (2010).
  20. J. Dossett, J. Moldenhauer, and M. Ishak, Phys. Rev. D 84, 023012 (2011).
  21. J. N. Dossett, M. Ishak, and J. Moldenhauer, Phys. Rev. D 84, 123001 (2011).
  22. L. Lombriser, Phys. Rev. D 83, 063519 (2011).
  23. G.-B. Zhao, H. Li, E. V. Linder, K. Koyama, D. J. Bacon, and X. Zhang, arXiv:1109.1846.
  24. T. L. Smith, arXiv:0907.4829.
  25. R. Wojtak, S. H. Hansen, and J. Hjorth, Nature (London) 477, 567 (2011).
  26. S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D 70, 043528 (2004).
  27. S. Nojiri and S. D. Odintsov, Phys. Rev. D 68, 123512 (2003).
  28. S. Capozziello, S. Carloni, and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003).
  29. A. A. Starobinsky, JETP Lett. 30, 682 (1979).
  30. A. A. Starobinsky, Phys. Lett. B 91, 99 (1980).
  31. J. Khoury and A. Weltman, Phys. Rev. D 69, 044026 (2004).
  32. I. Navarro and K. Van Acoleyen, J. Cosmol. Astropart. Phys. 02 (2007) 022.
  33. T. Faulkner, M. Tegmark, E. F. Bunn, and Y. Mao, Phys. Rev. D 76, 063505 (2007).
  34. W. Hu and I. Sawicki, Phys. Rev. D 76, 064004 (2007).
  35. Y.-S. Song, W. Hu, and I. Sawicki, Phys. Rev. D 75, 044004 (2007).
  36. F. Schmidt, M. Lima, H. Oyaizu, and W. Hu, Phys. Rev. D 79, 083518 (2009).
  37. F. Schmidt, Phys. Rev. D 80, 123003 (2009).
  38. B. Koester et al. (SDSS), Astrophys. J. 660, 239 (2007).
  39. K. N. Abazajian et al. (SDSS), Astrophys. J. Suppl. Ser. 182, 543 (2009).
  40. L. Knox, Y.-S. Song, and J. A. Tyson, Phys. Rev. D 74, 023512 (2006).
  41. F. Schmidt, Phys. Rev. D 78, 043002 (2008).
  42. B. Jain and P. Zhang, Phys. Rev. D 78, 063503 (2008).
  43. S. Tsujikawa and T. Tatekawa, Phys. Lett. B 665, 325 (2008).
  44. A. Borisov, B. Jain, and P. Zhang, arXiv:1102.4839.
  45. M. C. Martino, H. F. Stabenau, and R. K. Sheth, Phys. Rev. D 79, 084013 (2009).
  46. F. Schmidt, Phys. Rev. D 80, 043001 (2009).
  47. T. Narikawa and K. Yamamoto, arXiv:1201.4037.
  48. H. Oyaizu, Phys. Rev. D 78, 123523 (2008).
  49. H. Oyaizu, M. Lima, and W. Hu, Phys. Rev. D 78, 123524 (2008).
  50. G.-B. Zhao, B. Li, and K. Koyama, Phys. Rev. D 83, 044007 (2011).
  51. B. Li, G.-B. Zhao, R. Teyssier, and K. Koyama, J. Cosmol. Astropart. Phys. 1201, 051 (2012).
  52. S. Ferraro, F. Schmidt, and W. Hu, Phys. Rev. D 83, 063503 (2011).
  53. G. Squires and N. Kaiser, Astrophys. J. 473, 65 (1996).
  54. R. E. Smith, Mon. Not. R. Astron. Soc. 400, 851 (2009).
  55. A. Jenkins, C. S. Frenk, S. D. M. White, J. M. Colberg, S. Cole, A. E. Evrard, H. M. P. Couchman, and N. Yoshida, Mon. Not. R. Astron. Soc. 321, 372 (2001).
  56. D. N. Spergel et al. (WMAP), Astrophys. J. Suppl. Ser. 148, 175 (2003).
  57. D. N. Spergel et al. (WMAP), Astrophys. J. Suppl. Ser. 170, 377 (2007).
  58. R. E. Smith, C. Hernandez-Monteagudo, and U. Seljak, Phys. Rev. D 80, 063528 (2009)
  59. V. Springel, Mon. Not. R. Astron. Soc. 364, 1105 (2005).
  60. U. Seljak and M. Zaldarriaga, Astrophys. J. 469, 437 (1996).
  61. R. Scoccimarro, Mon. Not. R. Astron. Soc. 299, 1097 (1998).
  62. M. Crocce, S. Pueblas, and R. Scoccimarro, Mon. Not. R. Astron. Soc. 373, 369 (2006).
  63. M. Davis, G. Efstathiou, C. S. Frenk, and S. D. M. White, Astrophys. J. 292, 371 (1985).

  64. The FoF code used (b-fof) was kindly provided by V. Springel.

  65. E. Rozo et al., Astrophys. J. 699, 768 (2009)
  66. D. G. York et al., Astron. J. 120, 1579 (2000).
  67. D. J. Eisenstein et al., Astron. J. 122, 2267 (2001).
  68. G. T. Richards et al., Astron. J. 123, 2945 (2002).
  69. M. A. Strauss et al., Astron. J. 124, 1810 (2002).
  70. D. W. Hogg, D. P. Finkbeiner, D. J. Schlegel, and J. E. Gunn, Astron. J. 122, 2129 (2001).
  71. Ž. Ivezić et al., Astron. Nachr. 325, 583 (2004).
  72. M. Fukugita, T. Ichikaawa, J. E. Gunn, M. Doi, K. Shimasaku, D. P. Schneider, Astron. J. 111, 1748 (1996).
  73. J. A. Smith et al., Astron. J. 123, 2121 (2002).
  74. J. E. Gunn et al., Astron. J. 116, 3040 (1998).
  75. R. H. Lupton et al. (The SDSS Imaging Pipelines), in ASP Conf. Ser. 238: Astronomical Data Analysis Software and Systems X, (2001) pp. 269–+.
  76. J. R. Pier J. A. Munn, R. B. Hindsley, G. S. Hennessy, S.  M. Kent, R. H. Lupton, and Z. Ivezic, Astron. J. 125, 1559 (2003).
  77. D. L. Tucker et al., Astron. Nachr. 327, 821 (2006).
  78. K. N. Abazajian et al., Astrophys. J. Suppl. Ser. 182, 543 (2009).
  79. N. Padmanabhan et al., Astrophys. J. 674, 1217 (2008).
  80. H. Aihara et al., Astrophys. J. Suppl. Ser. 193, 29 (2011).
  81. D. J. Eisenstein et al., Astron. J. 142, 72 (2011).
  82. R. Mandelbaum, A. Tasitsiomi, U. Seljak, A. V. Kravtsov, and R. H. Wechsler, Mon. Not. R. Astron. Soc. 362, 1451 (2005).
  83. R. Mandelbaum, U. Seljak, T. Baldauf, and R. E. Smith, Mon. Not. R. Astron. Soc. 405, 2078 (2010).
  84. R. Reyes, R. Mandelbaum, J. E. Gunn, R. Nakajima, U. Seljak, and C. M. Hirata, arXiv:1110.4107.
  85. C. Hirata and U. Seljak, Mon. Not. R. Astron. Soc. 343, 459 (2003).
  86. R. Mandelbaum, C. M. Hirata, U. Seljak, J. Guzik, N. Padmanabhan, C. Blake, M. R. Blanton, R. Lupton, and J. Brinkmann, Mon. Not. R. Astron. Soc. 361, 1287 (2005).
  87. R. Feldmann et al., Mon. Not. R. Astron. Soc. 372, 565 (2006).
  88. R. Nakajima, R. Mandelbaum, U. Seljak, J. D. Cohn, R. Reyes, and R. Cool, arXiv:1107.1395.
  89. G. M. Bernstein and M. Jarvis, Astron. J. 123, 583 (2002).
  90. J. Dunkley et al. (WMAP), Astrophys. J. Suppl. Ser. 180, 306 (2009).
  91. C.-L. Kuo et al., Astrophys. J. 664, 687 (2007).
  92. A. C. S. Readhead et al., Astrophys. J. 609, 498 (2004).
  93. K. Grainge et al., Mon. Not. R. Astron. Soc. 341, L23 (2003).
  94. Supernova Cosmology Project, M. Kowalski et al., Astrophys. J. 686, 749 (2008).
  95. A. G. Riess et al., Astrophys. J. 699, 539 (2009).
  96. B. A. Reid, L. Verde, R. Jimenez, and O. Mena, J. Cosmol. Astropart. Phys. 01 (2010) 003.
  97. W. J. Percival et al., Mon. Not. R. Astron. Soc. 401, 2148 (2010).
  98. F. Schmidt, Phys. Rev. D 81, 103002 (2010).
  99. A. Lewis and S. Bridle, Phys. Rev. D 66, 103511 (2002).
  100. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953).
  101. W. K. Hastings, Biometrika 57, 97 (1970).
  102. A. Gelman and D. B. Rubin, Stat. Sci. 7, 457 (1992).
  103. R. Teyssier, B. Moore, D. Martizzi, Y. Dubois, and L. Mayer, Mon. Not. R. Astron. Soc. 414, 195 (2011).
  104. J. Blazek, M. McQuinn, and U. Seljak, J. Cosmol. Astropart. Phys. 05 (2011) 010
  105. C. M. Hirata, R. Mandelbaum, M. Ishak, U. Seljak, R. Nichol, K. A. Pimbblet, N. P. Ross, and D. Wake, Mon. Not. R. Astron. Soc. 381, 1197 (2007).
  106. J. Blazek, R. Mandelbaum, U. Seljak, and R. Nakajima, arXiv:1204.2264.
  107. S. Hilbert and S. D. M. White, Mon. Not. R. Astron. Soc. 404, 486 (2010).
  108. T. Baldauf, R. E. Smith, U. Seljak, and R. Mandelbaum, Phys. Rev. D 81, 063531 (2010).
  109. V. Springel et al., Nature (London) 435, 629 (2005).
  110. G.-B. Zhao, B. Li, and K. Koyama, Phys. Rev. Lett. 107, 071303 (2011).
  111. A. Knebe et al., Mon. Not. R. Astron. Soc. 415, 2293 (2011).
  112. W. Hu and A. V. Kravtsov, 584, 702 (2003).
  113. R. K. Sheth and G. Tormen, Mon. Not. R. Astron. Soc. 308, 119 (1999).
  114. J. F. Navarro, C. S. Frenk, and S. D. M. White, Astrophys. J. 490, 493 (1997).
  115. J. S. Bullock et al., Mon. Not. R. Astron. Soc. 321, 559 (2001).

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Phys. Rev. D 85, 102001– Published 9 May, 2012
  • Received 8 November 2011

© 2012 American Physical Society

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