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Reconstructing the cosmic expansion history up to redshift z=6.29 with the calibrated gamma-ray bursts

  • Regular Article - Theoretical Physics
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Abstract

Recently, Gamma-Ray Bursts (GRBs) were proposed to be a complementary cosmological probe to type Ia supernovae (SNIa). GRBs have been advocated to be standard candles since several empirical GRB luminosity relations were proposed as distance indicators. However, there is a so-called circularity problem in the direct use of GRBs. Recently, a new idea to calibrate GRBs in a completely cosmology independent manner has been proposed, and the circularity problem can be solved. In the present work, following the method proposed by Liang et al., we calibrate 70 GRBs with the Amati relation using 307 SNIa. Then, following the method proposed by Shafieloo et al., we smoothly reconstruct the cosmic expansion history up to redshift z=6.29 with the calibrated GRBs. We find some new features in the reconstructed results.

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References

  1. E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). hep-th/0603057

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. A.G. Riess et al., Astron. J. 116, 1009 (1998). astro-ph/9805201

    Article  ADS  Google Scholar 

  3. S. Perlmutter et al., Astrophys. J. 517, 565 (1999). astro-ph/9812133

    Article  ADS  Google Scholar 

  4. D.N. Spergel et al. (WMAP Collaboration), Astrophys. J. Suppl. 170, 377 (2007). astro-ph/0603449

    Article  ADS  Google Scholar 

  5. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. 180, 330 (2009). arXiv:0803.0547

    Article  ADS  Google Scholar 

  6. M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D 69, 103501 (2004). astro-ph/0310723

    Article  ADS  Google Scholar 

  7. U. Seljak et al. (SDSS Collaboration), Phys. Rev. D 71, 103515 (2005). astro-ph/0407372

    Article  ADS  Google Scholar 

  8. M. Tegmark et al. (SDSS Collaboration), Phys. Rev. D 74, 123507 (2006). astro-ph/0608632

    Article  ADS  Google Scholar 

  9. M.M. Phillips, Astrophys. J. 413, L105 (1993)

    Article  ADS  Google Scholar 

  10. M. Hamuy et al., Astron. J. 109, 1669 (1995)

    Article  Google Scholar 

  11. M. Hamuy et al., Astron. J. 112, 2391 (1996). astro-ph/9609059

    Article  ADS  Google Scholar 

  12. S. Perlmutter et al., Astrophys. J. 440, L41 (1995). astro-ph/9505023

    Article  ADS  Google Scholar 

  13. A. Kim, A. Goobar, S. Perlmutter, Publ. Astron. Soc. Pac. 108, 190 (1996). astro-ph/9505024

    Article  ADS  Google Scholar 

  14. S. Perlmutter et al., Astrophys. J. 483, 565 (1997). astro-ph/9608192

    Article  ADS  Google Scholar 

  15. A.G. Riess, W.H. Press, R.P. Kirshner, Astrophys. J. 473, 88 (1996). astro-ph/9604143

    Article  ADS  Google Scholar 

  16. R. Miquel, J. Phys. A 40, 6743 (2007). astro-ph/0703459

    Article  ADS  Google Scholar 

  17. B.E. Schaefer, Astrophys. J. 660, 16 (2007). astro-ph/0612285

    Article  ADS  Google Scholar 

  18. V. Bromm, A. Loeb, Astrophys. J. 575, 111 (2002). astro-ph/0201400

    Article  ADS  Google Scholar 

  19. J.R. Lin, S.N. Zhang, T.P. Li, Astrophys. J. 605, 819 (2004). astro-ph/0311363

    Article  ADS  Google Scholar 

  20. L. Amati et al., Astron. Astrophys. 390, 81 (2002). astro-ph/0205230

    Article  ADS  Google Scholar 

  21. G. Ghirlanda, G. Ghisellini, D. Lazzati, Astrophys. J. 616, 331 (2004). astro-ph/0405602

    Article  ADS  Google Scholar 

  22. D. Yonetoku et al., Astrophys. J. 609, 935 (2004). astro-ph/0309217

    Article  ADS  Google Scholar 

  23. E.W. Liang, B. Zhang, Astrophys. J. 633, 611 (2005). astro-ph/0504404

    Article  ADS  Google Scholar 

  24. C. Firmani et al., Mon. Not. R. Astron. Soc. 370, 185 (2006). astro-ph/0605073

    ADS  Google Scholar 

  25. J.P. Norris, G.F. Marani, J.T. Bonnell, Astrophys. J. 534, 248 (2000). astro-ph/9903233

    Article  ADS  Google Scholar 

  26. E.E. Fenimore, E. Ramirez-Ruiz, astro-ph/0004176

  27. D.E. Reichart et al., Astrophys. J. 552, 57 (2001). astro-ph/0004302

    Article  ADS  Google Scholar 

  28. R. Sato, K. Ioka, K. Toma, T. Nakamura, J. Kataoka, N. Kawai, T. Takahashi, arXiv:0711.0903 [astro-ph]

  29. J. Hakkila et al., arXiv:0803.1655 [astro-ph]

  30. Z.B. Zhang, G.Z. Xie, arXiv:0711.1411 [astro-ph]

  31. G. Ghirlanda, G. Ghisellini, C. Firmani, New J. Phys. 8, 123 (2006). astro-ph/0610248

    Article  ADS  Google Scholar 

  32. B. Zhang, Chin. J. Astron. Astrophys. 7, 1 (2007). astro-ph/0701520

    Article  ADS  Google Scholar 

  33. B. Zhang, astro-ph/0611774

  34. P. Meszaros, Rep. Prog. Phys. 69, 2259 (2006). astro-ph/0605208

    Article  ADS  Google Scholar 

  35. V. Bromm, A. Loeb, arXiv:0706.2445 [astro-ph]

  36. S.E. Woosley, J.S. Bloom, Ann. Rev. Astron. Astrophys. 44, 507 (2006). astro-ph/0609142

    Article  ADS  Google Scholar 

  37. Z.G. Dai, E.W. Liang, D. Xu, Astrophys. J. 612, L101 (2004). astro-ph/0407497

    Article  ADS  Google Scholar 

  38. M. Su, Z. Fan, B. Liu, astro-ph/0611155

  39. H. Li, M. Su, Z. Fan, Z. Dai, X. Zhang, Phys. Lett. B 658, 95 (2008). astro-ph/0612060

    Article  ADS  Google Scholar 

  40. F.Y. Wang, Z.G. Dai, Z.H. Zhu, Astrophys. J. 667, 1 (2007). arXiv:0706.0938

    Article  ADS  Google Scholar 

  41. S. Qi, F.Y. Wang, T. Lu, arXiv:0807.4594 [astro-ph]

  42. G. Ghirlanda, G. Ghisellini, D. Lazzati, C. Firmani, Astrophys. J. 613, L13 (2004). astro-ph/0408350

    Article  ADS  Google Scholar 

  43. C. Firmani et al., Mon. Not. R. Astron. Soc. 360, L1 (2005). astro-ph/0501395

    Article  ADS  Google Scholar 

  44. F.Y. Wang, Z.G. Dai, Mon. Not. R. Astron. Soc. 368, 371 (2006). astro-ph/0512279

    ADS  Google Scholar 

  45. C. Firmani et al., Rev. Mex. Astron. Astrofis. 43, 203 (2007). astro-ph/0605267

    ADS  Google Scholar 

  46. C. Firmani et al., Mon. Not. R. Astron. Soc. 372, L28 (2006). astro-ph/0605430

    Article  ADS  Google Scholar 

  47. H. Li, J.Q. Xia, J. Liu, G.B. Zhao, Z.H. Fan, X.M. Zhang, Astrophys. J. 680, 92 (2008). arXiv:0711.1792

    Article  ADS  Google Scholar 

  48. E.W. Liang, B. Zhang, Mon. Not. R. Astron. Soc. 369, L37 (2006). astro-ph/0512177

    Article  ADS  Google Scholar 

  49. Y. Kodama et al., Mon. Not. R. Astron. Soc. 391, L1 (2008). arXiv:0802.3428

    Article  ADS  Google Scholar 

  50. N. Liang, W.K. Xiao, Y. Liu, S.N. Zhang, Astrophys. J. 685, 354 (2008). arXiv:0802.4262

    Article  ADS  Google Scholar 

  51. K. Takahashi, M. Oguri, K. Kotake, H. Ohno, astro-ph/0305260

  52. R. Tsutsui et al., arXiv:0807.2911 [astro-ph]

  53. M. Kowalski et al., Supernova Cosmology Project Collaboration, arXiv:0804.4142 [astro-ph]. The numerical data of the full sample are available at http://supernova.lbl.gov/Union

  54. D. Rubin et al. (Supernova Cosmology Project Collaboration). arXiv:0807.1108 [astro-ph]

  55. A. Shafieloo, Mon. Not. R. Astron. Soc. 380, 1573 (2007). astro-ph/0703034

    Article  ADS  Google Scholar 

  56. A. Shafieloo et al., Mon. Not. R. Astron. Soc. 366, 1081 (2006). astro-ph/0505329

    ADS  Google Scholar 

  57. P.X. Wu, H.W. Yu, J. Cosmol. Astropart. Phys. 0802, 019 (2008). arXiv:0802.2017

    Article  ADS  Google Scholar 

  58. T.M. Davis et al., Astrophys. J. 666, 716 (2007). astro-ph/0701510

    Article  ADS  Google Scholar 

  59. L. Amati et al., Mon. Not. R. Astron. Soc. 391, 577 (2008). arXiv:0805.0377

    Article  ADS  Google Scholar 

  60. G. Ghirlanda, L. Nava, G. Ghisellini, C. Firmani, J.I. Cabrera, arXiv:0804.1675 [astro-ph]

  61. L. Amati, Mon. Not. R. Astron. Soc. 372, 233 (2006). astro-ph/0601553

    Article  ADS  Google Scholar 

  62. D. Eichler, A. Levinson, Astrophys. J. 614, L13 (2004). astro-ph/0405014

    Article  ADS  Google Scholar 

  63. A. Levinson, D. Eichler, Astrophys. J. 629, L13 (2005). astro-ph/0504125

    Article  ADS  Google Scholar 

  64. R. Yamazaki, K. Ioka, T. Nakamura, Astrophys. J. 606, L33 (2004). astro-ph/0401044

    Article  ADS  Google Scholar 

  65. K. Toma, R. Yamazaki, T. Nakamura, Astrophys. J. 635, 481 (2005). astro-ph/0504624

    Article  ADS  Google Scholar 

  66. M.J. Rees, P. Meszaros, Astrophys. J. 628, 847 (2005). astro-ph/0412702

    Article  ADS  Google Scholar 

  67. T. Isobe, E.D. Feigelson, M.G. Akritas, G.J. Babu, Astrophys. J. 364, 104 (1990)

    Article  ADS  Google Scholar 

  68. P. Coles, F. Lucchin, The Origin and Evolution of Large-Scale Structure (Wiley, New York, 1995)

    Google Scholar 

  69. V.J. Martinez, E. Saar, Statistics of Galaxy Distribution (Chapman & Hall, London, 2002)

    Google Scholar 

  70. L.X. Li, Mon. Not. R. Astron. Soc. 379, L55 (2007). arXiv:0704.3128

    Article  ADS  Google Scholar 

  71. L.X. Li, arXiv:0806.2770 [astro-ph]

  72. F. Fiore, D. Guetta, S. Piranomonte, V. D’Elia, L.A. Antonelli, arXiv:0704.2189 [astro-ph]

  73. N.R. Butler, D. Kocevski, J.S. Bloom, arXiv:0802.3396 [astro-ph]

  74. S. Campana et al., astro-ph/0703676

  75. R. Salvaterra, C. Guidorzi, S. Campana, G. Chincarini, G. Tagliaferri, arXiv:0805.4104 [astro-ph]

  76. J. Wang, J.S. Deng, Y.L. Qiu, arXiv:0710.5302 [astro-ph]

  77. G. Ghirlanda, L. Nava, G. Ghisellini, C. Firmani, arXiv:0704.0234 [astro-ph]

  78. S. Basilakos, L. Perivolaropoulos, arXiv:0805.0875 [astro-ph]

  79. L. Amati, Nuovo Cimento B 121, 1081 (2006). astro-ph/0611189

    ADS  Google Scholar 

  80. B.E. Schaefer, A.C. Collazzi, Astrophys. J. 656, L53 (2007). astro-ph/0701548

    Article  ADS  Google Scholar 

  81. G. Ghirlanda, L. Nava, G. Ghisellini, C. Firmani, astro-ph/0702352

  82. B. Gendre, A. Galli, M. Boer, AIP Conf. Proc. 1000, 72 (2008). arXiv:0711.2222

    Article  ADS  Google Scholar 

  83. F. Virgili, E. Liang, B. Zhang, arXiv:0801.4751 [astro-ph]

  84. S. Capozziello, L. Izzo, arXiv:0806.1120 [astro-ph]

  85. H.J. Mosquera Cuesta et al., astro-ph/0609262

  86. H.J. Mosquera Cuesta, H. Dumet, M.C. Furlanetto, J. Cosmol. Astropart. Phys. 0807, 004 (2008). arXiv:0708.1355

    Article  ADS  Google Scholar 

  87. H.J. Mosquera Cuesta et al., astro-ph/0610796

  88. H. Wei, S.N. Zhang, Phys. Lett. B 644, 7 (2007). astro-ph/0609597

    Article  ADS  Google Scholar 

  89. H. Wei, S.N. Zhang, Phys. Lett. B 654, 139 (2007). arXiv:0704.3330

    Article  ADS  Google Scholar 

  90. B. Feng, M. Li, Y.S. Piao, X. Zhang, Phys. Lett. B 634, 101 (2006). astro-ph/0407432

    Article  ADS  Google Scholar 

  91. S. Nojiri, S.D. Odintsov, Phys. Lett. B 637, 139 (2006). hep-th/0603062

    Article  ADS  Google Scholar 

  92. E.V. Linder, Astropart. Phys. 25, 167 (2006). astro-ph/0511415

    Article  ADS  Google Scholar 

  93. G. Barenboim, O. Mena, C. Quigg, Phys. Rev. D 71, 063533 (2005). astro-ph/0412010

    Article  ADS  Google Scholar 

  94. http://fermi.gsfc.nasa.gov

  95. E. Nakar, T. Piran, Mon. Not. R. Astron. Soc. 360, L73 (2005). astro-ph/0412232

    Article  ADS  Google Scholar 

  96. E. Nakar, T. Piran, astro-ph/0503517

  97. D.L. Band, R.D. Preece, Astrophys. J. 627, 319 (2005). astro-ph/0501559

    Article  ADS  Google Scholar 

  98. Y. Kaneko et al., astro-ph/0605427

  99. Y. Kaneko et al., AIP Conf. Proc. 836, 133 (2006). astro-ph/0601188

    Article  ADS  Google Scholar 

  100. N.R. Butler, D. Kocevski, J.S. Bloom, J.L. Curtis, Astrophys. J. 671, 656 (2007). arXiv:0706.1275

    Article  ADS  Google Scholar 

  101. L. Nava, G. Ghirlanda, G. Ghisellini, C. Firmani, arXiv:0807.4931 [astro-ph]

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Authors and Affiliations

  1. Department of Physics, Beijing Institute of Technology, Beijing, 100081, China

    Hao Wei

  2. Department of Physics and Tsinghua Center for Astrophysics, Tsinghua University, Beijing, 100084, China

    Shuang Nan Zhang

  3. Key Laboratory of Particle Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, 100049, China

    Shuang Nan Zhang

  4. Physics Department, University of Alabama in Huntsville, Huntsville, AL, 35899, USA

    Shuang Nan Zhang

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  1. Hao Wei
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Wei, H., Nan Zhang, S. Reconstructing the cosmic expansion history up to redshift z=6.29 with the calibrated gamma-ray bursts. Eur. Phys. J. C 63, 139–147 (2009). https://doi.org/10.1140/epjc/s10052-009-1086-z

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-1086-z

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