Gorbunova, Olesya; Sebastiani, Lorenzo Viscous fluids and Gauss-bonnet modified gravity. (English) Zbl 1204.83068 Gen. Relativ. Gravitation 42, No. 12, 2873-2890 (2010). Summary: We study effects of cosmic fluids on finite-time future singularities in modified \(f (R,G)\)-gravity, where \(R\) and \(G\) are the Ricci scalar and the Gauss-Bonnet invariant, respectively. We consider the fluid equation of state in the general form, \(\omega = \omega (\rho )\), and we suppose the existence of a bulk viscosity. We investigate quintessence region \((\omega > - 1)\) and phantom region \((\omega < - 1)\) and the possibility to change or avoid the singularities in \(f (R,G)\)-gravity. Finally, we study the inclusion of quantum effects in large curvature regime. Cited in 7 Documents MSC: 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 83F05 Relativistic cosmology 83C75 Space-time singularities, cosmic censorship, etc. 83C15 Exact solutions to problems in general relativity and gravitational theory 83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) 76E20 Stability and instability of geophysical and astrophysical flows Keywords:modified Gauss-Bonnet gravity models; viscous fluids; finite time singularities PDFBibTeX XMLCite \textit{O. Gorbunova} and \textit{L. Sebastiani}, Gen. Relativ. Gravitation 42, No. 12, 2873--2890 (2010; Zbl 1204.83068) Full Text: DOI arXiv References: [1] Spergel D.N., WMAP Collaboration, et al. (2003) Astrophys. J. Suppl. 148, 175 · doi:10.1086/377226 [2] Peiris, H.V., WMAP Collaboration, et al.: J. Suppl. 148, 213 (2003) · doi:10.1086/377228 [3] Spergel, D.N., WMAP Collaboration, et al.: J. Suppl. 170, 377 (2007) · doi:10.1086/513700 [4] Komatsu, E., WMAP Collaboration, et al.: J. Suppl. 180, 330 (2009) · doi:10.1088/0067-0049/180/2/330 [5] Perlmutter, S., SNCP Collaboration, et al.: Astrophys. J. 517, 565 (1999) · Zbl 1368.85002 · doi:10.1086/307221 [6] Riess, A.G., SNST Collaboration, et al.: Astron. J. 116, 1009 (1998) · doi:10.1086/300499 [7] Astier, P., SNLS Collaboration, et al.: Astron. Astrophys. 447, 31 (2006) · doi:10.1051/0004-6361:20054185 [8] Riess A.G. et al.: Astrophys. J. 659, 98 (2007) · doi:10.1086/510378 [9] Nojiri, S., Odintsov, S.D.: eConf C0602061, 06 (2006) [10] Nojiri S., Odintsov S.D.: Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007) arXiv:0601213 [hep-th] · Zbl 1112.83047 · doi:10.1142/S0219887807001928 [11] Nojiri, S., Odintsov, S.D.: (2008). arXiv:0801.4843 [astro-ph] [12] Nojiri, S., Odintsov, S.D.: (2008). arXiv:0807.0685 [hep-th] [13] Sotiriou, T.P., Faraoni, V.: (2008). arXiv:0805.1726 [gr-qc] [14] Lobo, F.S.N.: (2008). arXiv:0807.1640 [gr-qc] [15] Capozziello S., Francaviglia M.: Gen. Rel. Grav. 40, 357–420 (2008) arXiv:0706.1146 [astro-ph] · Zbl 1137.83302 · doi:10.1007/s10714-007-0551-y [16] Silvestri A., Trodden M.: Rept. Prog. Phys. 72, 096901 (2009) arXiv:0904.0024 [astro-ph.CO] · doi:10.1088/0034-4885/72/9/096901 [17] Sami, M.: (2009). arXiv:0904.3445 [hep-th] [18] Nojiri S., Odintsov S.D.: Phys. Lett. B 631, 1 (2005) · Zbl 1247.83292 · doi:10.1016/j.physletb.2005.10.010 [19] Nojiri S., Odintsov S.D., Gorbunova O.G.: J. Phys. A 39, 6627 (2006) arXiv:0510183 [hep-th] · Zbl 1097.83030 · doi:10.1088/0305-4470/39/21/S62 [20] Cognola G., Elizalde E., Nojiri S., Odintsov S.D., Zerbini S.: Phys. Rev. D 73, 084007 (2006) arXiv:0601008 [hep-th] · doi:10.1103/PhysRevD.73.084007 [21] Nojiri S., Odintsov S.D., Sami M.: Phys. Rev. D 74, 046004 (2006) arXiv:0605039(2006) [hep-th] · doi:10.1103/PhysRevD.74.046004 [22] Nojiri S., Odintsov S.D.: J. Phys. Conf. Ser. 66, 012005 (2007) arXiv:0611071 [hep-th] · doi:10.1088/1742-6596/66/1/012005 [23] Cognola G., Elizalde E., Nojiri S., Odintsov S., Zerbini S.: Phys. Rev. D 75, 086002 (2007) arXiv:0611198 [hep-th] · doi:10.1103/PhysRevD.75.086002 [24] Bamba, K., Geng, C.Q., Nojiri, S., Odintsov, S.D.: (2009). arXiv:0909.4397 [hep-th] [25] Cognola G., Gastaldi M., Zerbini S.: Int. J. Theor. Phys. 47, 898 (2008) arXiv:0701138 [gr-qc] · Zbl 1188.83073 · doi:10.1007/s10773-007-9516-x [26] Bamba K., Nojiri S., Odintsov S.D.: JCAP 0810, 045 (2008) arXiv:0807.2575v2 [hep-th] [27] Nojiri S., Odintsov S.D.: Phys. Rev. D 78, 046006 (2008) arXiv:0807.2575v2 [hep-th] · doi:10.1103/PhysRevD.78.046006 [28] Capozziello S., De Laurentis M., Nojiri S., Odintsov S.D.: Phys. Rev. D 79, 124007 (2009) · doi:10.1103/PhysRevD.79.124007 [29] Nojiri, S., Odintsov, S.D.: (2009). arXiv:0910.1464 [hep-th] [30] Bamba, K., Odintsov, S.D., Sebastiani, L., Zerbini, S.: (2009). arXiv:0911.4390 [hep-th] [31] Nojiri S., Odintsov S.D., Tsujikawa S.: Phys. Rev. D 71, 063004 (2005) arXiv:0501025 [hep-th] · doi:10.1103/PhysRevD.71.063004 [32] Kobayashi T., Maeda K.: Phys. Rev. D 78, 064019 (2008) arXiv:0807.2503v2 [astro-ph] · doi:10.1103/PhysRevD.78.064019 [33] Nojiri, S., Odintsov, S.D.: hep-th/0505215 [34] Capozziello S. et al.: Phys. Rev. D 73, 043512 (2006) arXiv:0511528 [astro-ph] · doi:10.1103/PhysRevD.73.043512 [35] Brevik I.H., Gorbunova O.: Gen. Relativ. Gravit. 37, 2039–2045 (2005) arXiv: 0508038v1 [gr-qc] · Zbl 1093.83046 · doi:10.1007/s10714-005-0178-9 [36] Brevik I., Gorbunova O., Shaido Y.A.: Int. J. Mod. Phys. D 14, 1899–1906 (2005) arXiv:0508038 [gr-qc] · Zbl 1089.83021 · doi:10.1142/S0218271805007450 [37] Kamenshchik A.Yu., Moschella U., Pasquier V.: Phys. Lett. B 511, 265–268 (2001) arXiv:0103004 [gr-qc] · Zbl 0969.83556 · doi:10.1016/S0370-2693(01)00571-8 [38] Hu W., Sawicki I.: Phys. Rev. D 76, 064 (2007) arXiv:0705.1158 [astro-ph] [39] Noijri S., Odintsov S.D.: Phys. Rev. D 68, 123512 (2003) arXiv:0307288 [hep-th] · doi:10.1103/PhysRevD.68.123512 [40] Nojiri S., Odintsov S.D.: Phys. Lett. B 657, 238–245 (2007) arXiv:0707.1941 [hep-th] · doi:10.1016/j.physletb.2007.10.027 [41] Cognola G., Elizalde E., Nojiri S., Odintsov S.D., Sebastiani L., Zerbini S.: Phys. Rev. D 77, 046009 (2008) arXiv:0712.4017 [hep-th] · doi:10.1103/PhysRevD.77.046009 [42] Noijri, S., Odintsov, S.D.: Phys. Lett. B, 595 (2004). arXiv:0405078v3 [hep-th] [43] Nojiri, S., Odintsov, S.D.: (2009). arXiv:0911.2781 [hep-th] [44] Abdalla M.C.B., Nojiri S., Odintsov S.D.: Class. Quantum Grav. 22, L35 (2005) arXiv:0409177 [hep-th] · Zbl 1062.83538 · doi:10.1088/0264-9381/22/5/L01 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.