КОСМОГРАФИЧЕСКОЕ КРАСНОЕ СМЕЩЕНИЕ НА ПУТИ ЛУЧА СВЕТА В f(R) ГРАВИТАЦИИ
We propose a strategy to infer the transition redshift zda, which characterizes the passage through the universe decelerated to accelerated phases, in the framework f(R) gravities. To this end, we numerically reconstruct f(z), i. e. the corresponding f(R) function re-expressed in terms of the redshift z and we show how to match f(z) with cosmography. In particular, we relate f(z) and its derivatives to the cosmographic coefficients, i. e. H0, q0 and j0 and demonstrate that its corresponding evolution may be framed by means of an effective logarithmic dark energy term ΩX, slightly departing from the case of a pure cosmological constant. Afterwards, we show that our model predicts viable transition redshift constraints, which agree with ΛCDM. To do so, we compute the corresponding zda in terms of cosmographic outcomes and find that zda ≤ 1. Finally, we reproduce an effective f(z) and show that this class of models is fairly well compatible with present-time data. To do so, we get numerical constraints employing Monte Carlo fits with the Union 2.1 supernova survey and with the Hubble measurement data set.
Ключевые слова: космография, f(R) гравитация, красное смещение, темная энергия
Библиография:
[1] Peebles P. J. E. and Ratra B. 2003 Rev. Mod. Phys 75 559.
[2] Farooq O. and Ratra B. 2013 Astrophys. J. Lett. 766 L7.
[3] Cunha J. V. 2009 Phys. Rev. D 79 047301.
[4] Busca N. G. 2013 Astronomy & Astrophysics 552 A96.
[5] Capozziello S., Farooq O., Luongo O., Ratra B. 2014 Phys. Rev. D 90 044016.
[6] Aviles A., Gruber C., Luongo O. and Quevedo H 2012 Phys. Rev. D 86 123516.
[7] Visser M. 2004 Class. Quant. Grav. 21 2603.
[8] Aviles A., Bravetti A., Capozziello S. and Luongo O. Phys. Rev. D 87 044012.
[9] Capozziello S., De Laurentis M. and Luongo O. 2014 Annalen Phys. 526 309-317.
[10] Suzuki N. et al. 2012 Astrophys. J. 746 85.
[11] Podariu S. et al. 2001 Astrophys. J. 9 559 and Ade P. A. E. et al. 2013 ArXiv[astro-ph.CO]: 1303.5076.
[12] Chen G. and Ratra B. 2011 Publ. Astron. Soc. Pacific 123, 1127.
[13] Gott J. R., Vogeley M. S., Podariu S. and Ratra B. 2001 Astrophys J. 549 1.
[14] Hinshaw G. et al. 2013 Astrophys. J. Supp. 208 19.
[15] Simon J. Verde L. and Jimenez R. 2005 Phys. Rev. D 71 123001.
( 646.35 kB ) 
( 531.51 kB )
Выпуск: 12, 2014
Серия выпуска: Выпуск № 12
Страницы: 39 — 43
Скачиваний: 772