- 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

f(R)-gravity model of the Sunyaev-Zeldovich profile of the Coma cluster compatible with Planck data

I. De Martino*

  • Department of Theoretical Physics and History of Science, University of the Basque Country UPV/EHU, Faculty of Science and Technology, Barrio Sarriena s/n, 48940 Leioa, Spain

  • *ivan.demartino1983@gmail.com
PDF

Phys. Rev. D 93, 124043 – Published 17 June, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.124043

Abstract

In the weak-field limit, analytic f(R) models of gravity introduce a Yukawa-like correction to the Newtonian gravitational potential. These models have been widely tested at galactic scales and provide an alternative explanation to the dynamics of galaxies without Dark Matter. We study if the temperature anisotropies due to the thermal Sunyaev-Zeldovich effect are compatible with these extended theories of gravity. We assume that the gas is in hydrostatic equilibrium within the modified Newtonian potential and it is well described by a polytropic equation of state. We particularize the model for the Coma cluster and the predicted anisotropies are compared with those measured in the foreground cleaned maps obtained using the Planck Nominal maps released in 2013. We show that the computed f(R) pressure profile fits the data, giving rise to competitive constraints of the Yukawa scale length L=(2.19±1.02)  Mpc and of the deviation parameter δ=−0.48±0.22. Those are currently the tightest constraints at galaxy cluster scale, and support the idea that extended theories of gravity provide an alternative explanation to the dynamics of self-gravitating systems without requiring dark matter.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (96)

  1. P. Astier, J. Guy, N. Regnault, R. Pain, E. Aubourg, D. Balam, S. Basa, R. G. Carlberg, S. Fabbro, D. Fouchez et al., Astron. Astrophys. 447, 31 (2006).
  2. C. Blake, E. A. Kazin, F. Beutler, T. M. Davis, D. Parkinson, S. Brough, M. Colless, C. Contreras, W. Couch, S. Croom et al., Mon. Not. R. Astron. Soc. 418, 1707 (2011).
  3. A. Clocchiatti, B. P. Schmidt, A. V. Filippenko, P. Challis, A. L. Coil, R. Covarrubias, A. Diercks, P. Garnavich, L. Germany, R. Gilliland et al., Astrophys. J. 642, 1 (2006).
  4. G. Hinshaw, D. Larson, E. Komatsu, D. N. Spergel, C. L. Bennett, J. Dunkley, M. R. Nolta, M. Halpern, R. S. Hill, N. Odegard et al., Astrophys. J. Suppl. Ser. 208, 19H (2013).
  5. Planck Collaboration, Astron. Astrophys., arXiv:1502.01589v2.
  6. A. G. Riess, L. G. Strolger, J. Tonry, S. Casertano, H. C. Ferguson, B. Mobasher, P. Challis, A. V. Filippenko, S. Jha, and W. Li, Astrophys. J. 607, 665 (2004).
  7. S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D 70, 043528 (2004).
  8. T. P. Sotiriou and V. Faroni, Rev. Mod. Phys. 82, 451 (2010).
  9. A. De Felice and S. Tsujikawa, Living Rev. Relativ. 13, 3 (2013).
  10. S. Nojiri and S. D. Odintsov, Int. J. Geom. Methods Mod. Phys. 04, 115 (2007).
  11. S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).
  12. S. Capozziello and M. De Laurentis, Phys. Rep. 509, 167 (2011).
  13. I. de Martino, M. De Laurentis, and S. Capozziello, Universe 1, 123 (2015).
  14. J. Khoury and A. Weltman, Phys. Rev. D 69, 044026 (2004).
  15. D. F. Mota and J. D. Barrow, Phys. Lett. B 581, 141 (2004).
  16. S. Ferraro, F. Schimdt, and W. Hu, Phys. Rev. D 83, 063503 (2011).
  17. W. Hu and I. Sawicki, Phys. Rev. D 76, 064004 (2007).
  18. W. Hu and I. Sawicki, Phys. Rev. D 76, 104043 (2007).
  19. B. Li, J.-H. He, and L. Gao, Mon. Not. R. Astron. Soc. 456, 146 (2016).
  20. N. A. Lima and A. R. Liddle, Phys. Rev. D 88, 043521 (2013).
  21. I. Sawicki and W. Hu, Phys. Rev. D 75, 127502 (2007).
  22. F. Schimdt, A. Vikhlinin, and W. Hu, Phys. Rev. D 80, 083505 (2009).
  23. Y. S. Song, W. Hu, and I. Sawicki, Phys. Rev. D 75, 044004 (2007).
  24. A. Terukina, L. Lombriser, K. Yamamoto, D. Bacon, K. Koyama, and R. C Nichol, J. Cosmol. Astropart. Phys. 04 (2014) 013.
  25. A. Terukina, K. Yamamoto, N. Okabe, K. Matsushita, and T. Sasaki, J. Cosmol. Astropart. Phys. 10 (2015) 64.
  26. H. Wilcox, D. Bacon, R. C. Nichol, P. J. Rooney, A. Terukina, A. K. Romer, K. Koyama, G.-B.Zhao, R. Hood, R. G. Mann et al., Mon. Not. R. Astron. Soc. 452, 1171 (2015).
  27. C. Arnold, E. Puchwein, and V. Springer, Mon. Not. R. Astron. Soc. 440, 833 (2014).
  28. S. Capozziello and V. Faraoni, Beyond Einstein Gravity: A Survey of gravitational Theories for Cosmology and Astrophysics (Springer, Berlin, 2010).
  29. S. Capozziello, A. Stabile, and A. Troisi, Mod. Phys. Lett. A 24, 09 (2009).
  30. S. Capozziello and M. De Laurentis, Ann. Phys. (Berlin) 524, 1 (2012).
  31. I. Quandt and H. J. Schmidt, Astron. Nachr. 312, 97 (1991).
  32. G. Allemandi, M. Francaviglia, M. Ruggiero, and A. Tartaglia, Gen. Relativ. Gravit. 37, 1891 (2005).
  33. C. P. L. Berry and J. R. Gair, Phys. Rev. D 83, 104022 (2011).
  34. S. Capozziello and A. Troisi, Phys. Rev. D 72, 044022 (2005).
  35. S. Capozziello and S. Tsujikawa, Phys. Rev. D 77, 107501 (2008).
  36. S. Capozziello, M. De Laurentis, I. De Martino, M. Formisano, and S. D. Odintsov, Phys. Rev. D 85, 044022 (2012).
  37. M. De Laurentis and I. De Martino, Mon. Not. R. Astron. Soc. 431, 741 (2013).
  38. M. De Laurentis and I. De Martino, Int. J. Geom. Methods Mod. Phys. 12, 1550040 (2015).
  39. V. F. Cardone and S. Capozziello, Mon. Not. R. Astron. Soc. 414, 1301 (2011).
  40. N. R. Napolitano, S. Capozziello, A. J. Romanowsky, M. Capaccioli, and C. Tortora, Astrophys. J. 748, 87 (2012).
  41. S. Capozziello, E. De Filippis, and V. Salzano, Mon. Not. R. Astron. Soc. 394, 947 (2009).
  42. R. A. Sunyaev and Y. B. Zeldovich, Comments Astrophys. Space Phys. 4, 173 (1972).
  43. I. De Martino, M. De Laurentis, F. Atrio-Barandela, and S. Capozziello, Mon. Not. R. Astron. Soc. 442, 921 (2014).
  44. The Veritas Collaboration, Astrophys. J. 757, 123 (2012).
  45. K. Stelle, Gen. Relativ. Gravit. 9, 353 (1978).
  46. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
  47. M. Eingorn and A. Zhuk, Phys. Rev. D 84, 024023 (2011).
  48. S. Capozziello, S. Nojiri, and S. D. Odintsov, Phys. Lett. B 634, 93 (2006).
  49. S. Capozziello, S. Nojiri, S. D. Odintsov, and A. Troisi, Phys. Lett. B 639, 135 (2006).
  50. S. Nojiri and S. D. Odintsov, Phys. Rev. D 74, 086005 (2006).
  51. S. Capozziello, A. Stabile, and A. Troisi, Mod. Phys. Lett. A 21, 2291 (2006).
  52. T. P. Sotiriou, Classical Quantum Gravity 23, 5117 (2006).
  53. S. Capozziello, C. Corda, and M. de Laurentis, Phys. Lett. B 669, 255 (2008).
  54. R. A. Sunyaev and Y. B. Zeldovich, Mon. Not. R. Astron. Soc. 190, 413 (1980).
  55. D. J. Fixsen, Astrophys. J. 707, 916 (2009).
  56. N. Itoh, Y. Kohyama, and S. Nozawa, Astrophys. J. 502, 7 (1998).
  57. S. Nozawa, N. Itoh, and Y. Kohyama, Astrophys. J. 508, 17 (1998).
  58. S. Nozawa, N. Itoh, Y. Suda, and Y. Ohhata, Nuovo Cimento D 121, 487 (2006).
  59. K. Gorski, E. Hivon, A. Banday, B. D. Wandelt, F. K. Hansen, M. Reinecke, and M. Bartelmann, Astrophys. J. 622, 759 (2005).
  60. T. H. Reiprich and H. Böhringer, Astrophys. J. 567, 716 (2002).
  61. A. Vikhlinin, A. Kravtsov, W. Forman, C. Jones, M. Markevitch, S. S. Murray, and L. Van Speybroeck, Astrophys. J. 640, 691 (2006).
  62. Planck Collaboration, Astron. Astrophys. 554, A140 (2013).
  63. A. Simionescu, N. Werner, O. Urban et al., Astrophys. J. 775, 4 (2013).
  64. T. Sato, K. Matsushita, N. Ota, K. Sato, K. Nakazawa, and C. L. Sarazin, Publ. Astron. Soc. Jpn. 63, S991 (2011).
  65. D. M. Neumann, D. H. Lumb, G. W. Pratt, and U. G. Briel, Astron. Astrophys. 400, 811 (2003).
  66. J. S. Sanders, A. C. Fabian, E. Churazov, A. A. Schekochihin, A. Simionescu, S. A. Walker, and N. Werner, Science 341, 1365 (2013).
  67. E. Churazov, A. Vikhlinin, I. Zhuravleva, A. Schekochihin, I. Parrish, R. Sunyaev, W. Forman, H. Böhringer, and S. Randall, Mon. Not. R. Astron. Soc. 421, 1123 (2012).
  68. S. L. Snowden, R. F. Mushotzky, K. D. Kuntz, and D. S. Davis, Astron. Astrophys. 478, 615 (2008).
  69. D. R. Wik, C. L. Sarazin, A. Finoguenov, K. Matsushita, K. Nakazawa, and T. E. Clarke, Astrophys. J. 696, 1700 (2009).
  70. F. Gastaldello et al., Astrophys. J. 800, 139 (2015).
  71. R. Fusco-Femiano, A. Lapi, and A. Cavaliere, Astrophys. J. 763, L3 (2013).
  72. I. Martino, R. Génova-Santos, F. Atrio-Barandela, H. Ebeling, A. Kashlinsky, D. Kocevski, and C. J. A. P. Martins, Astrophys. J. 808, 128 (2015).
  73. W. K. Hastings, Biometrika 57, 97 (1970).
  74. N. Metropolis et al., Journal of the Chemical Society A, Inorganic, physical, theoretical 21, 1087 (1953).
  75. A. Gelman and D. B. Rubin, Stat. Sci. 7, 457 (1992).
  76. A. Gelman, G. O. Roberts, and W. R. Gilks, Bayesian statistics 5, 599 (1996).
  77. G. O. Roberts, A. Gelman, and W. R. Gilks, Ann. Appl. Probab. 7, 110 (1997).
  78. C. L. Sarazin, X-ray Emission from Clusters of Galaxies, Cambridge Astrophysics Series (Cambridge University Press, Cambridge, England, 1988).
  79. L. Verde, H. V. Peiris, D. N. Spergel, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, M. Limon et al., Astrophys. J. Suppl. Ser. 148, 195 (2003).
  80. Y. Ascasibar, R. Sevilla, G. Yepes, V. Müller, and S. Gottlöber, Mon. Not. R. Astron. Soc. 371, 193 (2006).
  81. P. Bode, J. P. Ostriker, and A. Vikhlinin, Astrophys. J. 700, 989 (2009).
  82. P. R. Capelo, P. S. Coppi, and P. Natarajan, Mon. Not. R. Astron. Soc. 422, 686C (2012).
  83. J. P. Ostriker, P. Bode, and A. Babul, Astrophys. J. 634, 964 (2005).
  84. E. Bertschinger, Astrophys. J. Suppl. Ser. 58, 39 (1985).
  85. P. André et al. PRISM Collaboration, J. Cosmol. Astropart. Phys. 02 (2014) 006.
  86. P. Brax, L. A. Rizzo, and P. Valageas, Phys. Rev. D 92, 043519 (2015).
  87. T. Bernal, O. López-Corona, and S. Mendoza, arXiv:1505.00037.
  88. J. Bobin, F. Sureau, P. Paykari, A. Rassat, S. Basak, and J.-L. Starck, Astron. Astrophys. 553, L4 (2013).
  89. J. Bobin, F. Sureau, J.-L. Starck, A. Rassat, and P. Paykari, Astron. Astrophys. 563, A105 (2014).
  90. Planck Collaboration, Astron. Astrophys. 571, A13 (2014).
  91. Planck Collaboration, Astron. Astrophys. 571, A28. (2014).
  92. Planck Collaboration, Astron. Astrophys. 571, A29 (2014).
  93. Planck Collaboration, Astron. Astrophys. 571, A11 (2014).
  94. Planck Collaboration, Astron. Astrophys. 571, A12 (2014).
  95. J. M. Diego, P. Vielva, E. Martínez-Gonzalez, J. Silk, and J. L. Sanz, Mon. Not. R. Astron. Soc. 336, 1351 (2002).
  96. R. Piffaretti, M. Arnaud, G. W. Pratt, E. Pointecouteau, and J.-B. Melin, Astron. Astrophys. 534, A109 (2011).

Outline

Information

Phys. Rev. D 93, 124043– Published 17 June, 2016
  • Received 21 April 2016

© 2016 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation