Publication:
On the stability of the cosmological solutions in f(R, G) gravity

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2012-12-21
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Physics
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
Modified gravity is one of the most promising candidates for explaining the current accelerating expansion of the Universe, and even its unification with the inflationary epoch. Nevertheless, the wide range of models capable of explaining the phenomena of dark energy imposes that current research focuses on a more precise study of the possible effects of modified gravity on both cosmological and local levels. In this paper, we focus on the analysis of a type of modified gravity, the so-called f(R, G) gravity, and we perform a deep analysis on the stability of important cosmological solutions. This not only can help to constrain the form of the gravitational action, but also facilitate a better understanding of the behavior of the perturbations in this class of higher order theories of gravity, which will lead to a more precise analysis of the full spectrum of cosmological perturbations in future.
Description
© 2012 IOP Publishing Ltd. We would like to thank Sergei D. Odintsov and Antonio López Maroto for useful discussions on the topic. AdlCD acknowledges financial support from URC (South Africa) and MICINN (Spain) projects numbers FIS2011-23000, FPA2011-27853-C02-01 and Consolider-Ingenio MULTIDARK CSD2009-00064. DSG acknowledges support from a postdoctoral contract from the University of the Basque Country (UPV/EHU)under the program “Specialization of research staff”. DSG is also supported by the research project FIS2010-15640, and also by the Basque Government through the special research action KATEA and UPV/EHU under program UFI 11/55.
Unesco subjects
Keywords
Citation
[1] S. Nojiri and S. D. Odintsov, eConf C0602061, 06 (2006) [Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007)]; Phys. Rept. 505, 59 (2011) [arXiv:1011.0544 [gr-qc]). S. Capozziello and M. Francaviglia, Gen. Rel. Grav. 40, 357 (2008); T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82 451 (2010); F. S. N. Lobo, arXiv:0807.1640 [gr-qc]; S. Capozziello, M. De Laurentis, Physics Reports 509 167-321 (2011); A. de la Cruz-Dombriz and D. Sáez-Gómez, Entropy 14, 1717 (2012). [2] S. Capozziello, V. Faraoni, “Beyond Einstein gravity: A Survey of gravitational theories for cosmology and astrophysics” in Fundamental Theories of Physics, Vol. 170, Springer, 2010. (ISBN-10: 9400701640, ISBN-13: 978-9400701649) [3] A. Dobado and A. L. Maroto Phys. Rev. D 52 1895 (1995). [4] G. Dvali, G. Gabadadze and M. Porrati Phys. Lett. B 485 208 (2000). [5] J. Beltrán and A. L. Maroto Phys. Rev. D 78 063005 (2008); JCAP 0903 016 (2009) ; Phys. Rev. D 80 063512 (2009); Int. J. Mod. Phys. D 18 2243-2248 (2009). [6] S. Nojiri and S. D. Odintsov, Phys. Rev. D 74 (2006) 086005 [hep-th/0608008]; E. Elizalde and D. Sáez-Gómez, Phys. Rev. D 80, 044030 (2009) [arXiv:0903.2732 [hep-th]). S. Nojiri, S. D. Odintsov and D. Sáez-Gómez, Phys. Lett. B 681, 74 (2009) [arXiv:0908.1269 [hep-th]). [7] J. M. Bardeen, Phys. Rev. D22 1882 (1980); S. M. Carroll, I. Sawicki, A. Silvestri and M. Trodden, New J. Phys. 8 323, (2006); Y. S. Song, W. Hu and I. Sawicki, Phys. Rev. D75 044004, (2007); A. A. Starobinsky, JETP Lett. 86, 157 (2007); R. Bean, D. Bernat, L. Pogosian, A. Silvestri and M. Trodden. Phys. Rev. D75 064020, (2007). S. Carloni, P. K. S. Dunsby and A. Troisi, Phys. Rev. D77 024024, (2008); S. Tsujikawa, Phys. Rev. D77:023507, (2008); S. Tsujikawa, K. Uddin, R. Tavakol, Phys. Rev. D77:043007, (2008); A. de la Cruz-Dombriz, A. Dobado and A. L. Maroto, Phys. Rev. D77 123515 (2008); Phys. Rev. Lett. D 103, 179001 (2009); A. Abebe it et al., Class. Quant. Grav. 29, 135011 (2012). [8] S. Mignemi and D. L. Wiltshire, Phys. Rev. D 46, 1475 (1992); M. Cvetic, S. Nojiri and S. D. Odintsov, Nucl. Phys. B 628, 295 (2002); R. G. Cai, Phys. Rev. D 65, 084014 (2002); Y. M. Cho and I. P. Neupane, Phys. Rev. D 66, 024044 (2002); G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov and S. Zerbini, JCAP 0502, 010 (2005); R. G. Cai, Phys. Lett. B 582, 237 (2004); J. Matyjasek, M. Telecka and D. Tryniecki, Phys. Rev. D 73, 124016 (2006); T. Multamaki and I. Vilja, Phys. Rev. D 74, 064022 (2006); G. J. Olmo, Phys. Rev. D 75, 023511 (2007); D. N. Vollick, Phys. Rev. D 76, 124001 (2007); F. Briscese and E. Elizalde, Phys. Rev. D 77, 044009 (2008); A. M. Nzioki, S. Carloni, R. Goswami and P. K. S. Dunsby, Phys. Rev. D81 084028 (2010); S. Capozziello, M. De Laurentis and A. Stabile, Class. Quant. Grav. 27, 165008 (2010); Y. S. Myung, Phys. Rev. D84 024048 (2011). [9] A. A. Starobinsky Phys. Lett. 91B 99 (1980); S. Nojiri and S. Odintsov Phys. Rev. D 68 123512 (2003); Gen. Rel. Grav. 36 1765 (2004); S. Capozziello Int. J. Mod. Phys. D 11, 483 (2002); S. M. Carroll et al, Phys. Rev. D71 063513 (2005); S. Carloni, P. K. S. Dunsby, S. Capozziello and A. Troisi Class. Quant. Grav. 22 4839 (2005). T. P. Sotiriou and S. Liberati Annals of Physics 332 (2007); J. A. R. Cembranos Phys. Rev. D 73 064029 (2006); T. Clifton and J. D. Barrow Phys. Rev. D 72 103005 (2005). S. Capozziello, S. Carloni and A. Troisi, Recent Res. Dev. Astron. Astrophys. 1, 625 (2003) [astro-ph/0303041]; J. A. R. Cembranos, Phys. Rev. Lett. 102 141301 (2009) [arXiv:0809.1653 [hep-ph]); D. Sáez-Gómez, Gen. Rel. Grav. 41, 1527 (2009) [arXiv:0809.1311 [hep-th]); P. K. S. Dunsby, E. Elizalde, R. Goswami, S. Odintsov and D.Sáez-Gómez, Phys. Rev. D 82, 023519 (2010) [arXiv:1005.2205 [gr-qc]). [10] V. Faraoni (Preprint arXiv:0810.2602v1 [gr-qc]) (2008). [11] A. de la Cruz-Dombriz and A. Dobado, Phys. Rev. D 74, 087501 (2006) [gr-qc/0607118]. [12] W. Hu and I. Sawicki, Phys. Rev. D 76, 064004 (2007) [arXiv:0705.1158 [astro-ph]); S. Nojiri and S. D. Odintsov, Phys. Rev. D 77, 026007 (2008) [arXiv:0710.1738 [hep-th]); L. Pogosian and A. Silvestri, Phys. Rev. D 77, 023503 (2008) [arXiv:0709.0296 [astro-ph]); S. Capozziello and S. Tsujikawa, Phys. Rev. D 77, 107501 (2008) [arXiv:0712.2268 [gr-qc]). [13] A. de la Cruz-Dombriz, A. Dobado and A. L. Maroto, Phys. Rev. D 80, 124011 (2009) [Erratum: Phys. Rev. D 83, 029903(E) (2011)]; J. Phys. Conf. Ser. 229 (2010) 012033; J. A. R. Cembranos, A. de la Cruz-Dombriz and P. Jimeno Romero, e-Print: arXiv:1109.4519 [gr-qc]; AIP Conf. Proc. 1458, 439 (2011) [arXiv:1202.0853 [gr-qc]). J. A. R. Cembranos, A. de la Cruz-Dombriz and B. Montes Nunez, JCAP 1204, 021 (2012) [arXiv:1201.1289 [gr-qc]); AIP Conf. Proc. 1458, 491 (2011). [14] G. Cognola, E. Elizade, S. Nojiri, S. D. Odintsov and S. Zerbini, Phys. Rev. D 73 084007 (2006) [arxiv:hep-th/0601008]. [15] E. Elizalde, R. Myrzakulov, V. V. Obukhov and D. Sáez-Gómez, Class. Quant. Grav. 27 (2010) 095007 [arXiv:1001.3636 [gr-qc]). [16] R. Myrzakulov, D. Sáez-Gómez and A. Tureanu, Gen. Rel. Grav. 43 (2011) 1671 [arXiv:1009.0902 [gr-qc]). [17] A. De Felice and T. Suyama, JCAP 0906, 034 (2009); Phys. Rev. D 80, 083523 (2009); Prog. Theor. Phys. 125, 603 (2011); A. De Felice, J. -M. Gerard and T. Suyama, Phys. Rev. D 82, 063526 (2010) [18] A. De Felice and S. Tsujikawa, Phys. Lett. B 675, 1 (2009) [arXiv:0810.5712 [hep-th]). [19] A. De Felice, D. F. Mota and S. Tsujikawa, Phys. Rev. D 81, 023532 (2010) [arXiv:0911.1811 [gr-qc]). [20] A. De Felice and T. Tanaka, Prog. Theor. Phys. 124, 503 (2010). [21] S. Nojiri, S. D. Odintsov, Phys. Lett. B 631 1 (2005) [arxiv:hep-th/0508049]; Phys. Rev. D 68, 123512 (2003) [hep-th/0307288]; S. Nojiri, S. D. Odintsov, M. Sasaki, Phys. Rev. D 71 123509 (2005) [arXiv:hep-th/0504052]; S. Nojiri, S. D. Odintsov, O. G. Gorbunova, J. Phys. A 39 6627 (2006) [arxiv:hep-th/0510183]; S. Nojiri, S. D. Odintsov, M. Sami, Phys. Rev. D 74 046004 (2006) [arxiv:hep-th/0605039]; S-Y. Zhou, E. J. Copeland, P. M. Saffin, JCAP 0907 009 (2009) [arXiv:0903.4610]; N. Goheer, R. Goswami, Peter K. S. Dunsby P., K. Ananda, Phys. Rev. D 79 121301 (2009) [arXiv:0904.2559]; K. Uddin, J. E. Lidsey, R. Tavakol, Gen. Rel. Grav. 412725 (2009) [arXiv:0903.0270]; C. G. Boehmer, F. S. N. Lobo, Phys. Rev. D 79 067504 (2009) [arXiv:0902.2982]; M. Alimohammadi, A. Ghalee, Phys. Rev. D 79 063006 (2009) [arXiv:0811.1286]; A. De Felice, S. Tsujikawa, Phys. Rev. D 80 063516 (2009) [arXiv:0907.1830]; A. De Felice, S. Tsujikawa, Phys. Lett. B 675 1 (2009) [arXiv:0810.5712]; G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, S. Zerbini, Phys. Rev. D 75 086002 (2007) [hep-th/0611198]; M. Gurses, [arXiv:0707.0347]; B. Li, J. D. Barrow, D. F. Mota, Phys. Rev. D 76 044027 (2007) [arXiv:0705.3795]; S. Nojiri, S. D. Odintsov, P. V. Tretyakov, Phys. Lett. B 651 224 (2007) [arXiv:0704.2520]; K. Bamba, S. D. Odintsov, L. Sebastiani, S. Zerbini, Eur. Phys. J. C 67 295-310 [arXiv:0911.4390]; S. Capozziello, M. De Laurentis, S. Nojiri, S. D. Odintsov, Phys. Rev. D 79 124007 (2009) [arXiv:0903.2753]; K. Bamba, S. Nojiri, S. D. Odintsov, JCAP 0810 045 (2008) [arXiv:0807.2575]. [22] J. D. Barrow and A. C. Ottewill J. Phys. A 16 2757 (1983); [23] I. D. Saltas and M. Kunz, Phys. Rev. D 83, 064042 (2011) [arXiv:1012.3171 [gr-qc]). [24] D. Sáez-Gómez, Phys. Rev. D 83 064040 (2011) [arXiv:1011.2090 [hep-th]). [25] H. M. Sadjadi, Europhys. Lett. 92: 50014, 2010 arXiv:1009.2941v2 [gr-qc])
Collections