[1] R. Caldwell, Phys. Lett. B 545 (2002), 23-29 doi:10.1016/S0370-2693(02)02589-3 [arXiv:astro-ph/9908168 [astro-ph]].
[2] G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15 (1977) 2738. doi:10.1103/PhysRevD.15.2738
[3] R. G. Cai, L. M. Cao and Y. P. Hu, Class. Quant. Grav. 26 (2009) 155018 doi:10.1088/0264-9381/26/15/155018 [arXiv:0809.1554 [hep-th]].
[4] R. Ruggiero, [arXiv:2005.12684 [gr-qc]].
[5] S. Nojiri, S. D. Odintsov and S. Tsujikawa, Phys. Rev. D 71, 063004 (2005) [arXiv:hep-th/0501025].
[6] S. Odintsov and V. Oikonomou, Phys. Rev. D 98 (2018) no.2, 024013 doi:10.1103/PhysRevD.98.024013 [arXiv:1806.07295 [gr-qc]].
[7] R. R. Caldwell, M. Kamionkowski and N. N. Weinberg, Phys. Rev. Lett. 91 (2003), 071301 doi:10.1103/PhysRevLett.91.071301 [arXiv:astro-ph/0302506 [astro-ph]].
[8] S. Nojiri and S. D. Odintsov, Phys. Lett. B 562 (2003), 147-152 doi:10.1016/S0370-2693(03)00594-X [arXiv:hep-th/0303117 [hep-th]].
[9] E. Elizalde, S. Nojiri and S. D. Odintsov, Phys. Rev. D 70 (2004), 043539 doi:10.1103/PhysRevD.70.043539 [arXiv:hep- th/0405034 [hep-th]].
[10] V. Faraoni, Int. J. Mod. Phys. D 11 (2002), 471-482 doi:10.1142/S0218271802001809 [arXiv:astro-ph/0110067 [astro-ph]].
[11] P. Singh, M. Sami and N. Dadhich, Phys. Rev. D 68 (2003), 023522 doi:10.1103/PhysRevD.68.023522 [arXiv:hep- th/0305110 [hep-th]].
[12] P. X. Wu and H. W. Yu, Nucl. Phys. B 727 (2005), 355-367 doi:10.1016/j.nuclphysb.2005.07.022 [arXiv:astro-ph/0407424 [astro-ph]].
[13] M. Sami and A. Toporensky, Mod. Phys. Lett. A 19 (2004), 1509 doi:10.1142/S0217732304013921 [arXiv:gr-qc/0312009 [gr-qc]].
[14] H. Stefancic, Phys. Lett. B 586 (2004), 5-10 doi:10.1016/j.physletb.2004.02.018 [arXiv:astro-ph/0310904 [astro-ph]].
[15] L. P. Chimento and R. Lazkoz, Phys. Rev. Lett. 91 (2003), 211301 doi:10.1103/PhysRevLett.91.211301 [arXiv:gr- qc/0307111 [gr-qc]].
[16] X. F. Zhang, H. Li, Y. S. Piao and X. M. Zhang, Mod. Phys. Lett. A 21 (2006), 231-242 doi:10.1142/S0217732306018469 [arXiv:astro-ph/0501652 [astro-ph]].
[17] M. P. Dabrowski, C. Kiefer and B. Sandhofer, Phys. Rev. D 74 (2006), 044022 doi:10.1103/PhysRevD.74.044022 [arXiv:hep- th/0605229 [hep-th]].
[18] S. Nojiri and S. D. Odintsov, Phys. Lett. B 686 (2010), 44-48 doi:10.1016/j.physletb.2010.02.017 [arXiv:0911.2781 [hep-th]].
[19] S. Capozziello, M. De Laurentis, S. Nojiri and S. D. Odintsov, Phys. Rev. D 79 (2009), 124007 doi:10.1103/PhysRevD.79.124007 [arXiv:0903.2753 [hep-th]].
[20] J. Beltran Jimenez, D. Rubiera-Garcia, D. Saez-Gomez and V. Salzano, Phys. Rev. D 94 (2016) no.12, 123520 doi:10.1103/PhysRevD.94.123520 [arXiv:1607.06389 [gr-qc]].
[21] J. D. Barrow, Class. Quant. Grav. 21 (2004), L79-L82 doi:10.1088/0264-9381/21/11/L03 [arXiv:gr-qc/0403084 [gr-qc]].
[22] S. Nojiri and S. D. Odintsov, Phys. Lett. B 595 (2004), 1-8 doi:10.1016/j.physletb.2004.06.060 [arXiv:hep-th/0405078 [hep-th]].
[23] J. D. Barrow and C. G. Tsagas, Class. Quant. Grav. 22 (2005), 1563-1571 doi:10.1088/0264-9381/22/9/006 [arXiv:gr- qc/0411045 [gr-qc]].
[24] L. Fernandez-Jambrina and R. Lazkoz, Phys. Rev. D 70 (2004), 121503 doi:10.1103/PhysRevD.70.121503 [arXiv:gr- qc/0410124 [gr-qc]].
[25] M. Bouhmadi-Lopez, P. F. Gonzalez-Diaz and P. Martin-Moruno, Phys. Lett. B 659 (2008), 1-5 doi:10.1016/j.physletb.2007.10.079 [arXiv:gr-qc/0612135 [gr-qc]].
[26] J. D. Barrow and S. Z. Lip, Phys. Rev. D 80 (2009), 043518 doi:10.1103/PhysRevD.80.043518 [arXiv:0901.1626 [gr-qc]].
[27] M. Bouhmadi-Lopez, Y. Tavakoli and P. Vargas Moniz, JCAP 04 (2010), 016 doi:10.1088/1475-7516/2010/04/016 [arXiv:0911.1428 [gr-qc]].
[28] J. D. Barrow, A. B. Batista, J. C. Fabris, M. J. Houndjo and G. Dito, Phys. Rev. D 84 (2011), 123518 doi:10.1103/PhysRevD.84.123518 [arXiv:1110.1321 [gr-qc]].
[29] M. Bouhmadi-Lopez, C. Kiefer and M. Kramer, Phys. Rev. D 89 (2014) no.6, 064016 doi:10.1103/PhysRevD.89.064016 [arXiv:1312.5976 [gr-qc]].
[30] M. Bouhmadi-Lopez, P. Chen and Y. W. Liu, Eur. Phys. J. C 73 (2013), 2546 doi:10.1140/epjc/s10052-013-2546-z [arXiv:1302.6249 [gr-qc]].
[31] L. P. Chimento and M. G. Richarte, Phys. Rev. D 93 (2016) no.4, 043524 doi:10.1103/PhysRevD.93.043524 [arXiv:1512.02664 [gr-qc]].
[32] M. Cataldo, L. P. Chimento and M. G. Richarte, Phys. Rev. D 95 (2017) no.6, 063510 doi:10.1103/PhysRevD.95.063510 [arXiv:1702.07743 [gr-qc]].
[33] A. Balcerzak and T. Denkiewicz, Phys. Rev. D 86 (2012), 023522 doi:10.1103/PhysRevD.86.023522 [arXiv:1202.3280 [astro-ph.CO]].
[34] K. Marosek and A. Balcerzak, Eur. Phys. J. C 79 (2019) no.4, 287 doi:10.1140/epjc/s10052-019-6802-8 [arXiv:1804.10835 [gr-qc]].
[35] S. Nojiri and S. D. Odintsov, Phys. Rev. D 70 (2004), 103522 doi:10.1103/PhysRevD.70.103522 [arXiv:hep-th/0408170 [hep-th]].
[36] S. Nojiri and S. D. Odintsov, Phys. Rev. D 72 (2005), 023003 doi:10.1103/PhysRevD.72.023003 [arXiv:hep-th/0505215 [hep-th]].
[37] J. D. Barrow and A. A. H. Graham, Phys. Rev. D 91 (2015) no.8, 083513 doi:10.1103/PhysRevD.91.083513 [arXiv:1501.04090 [gr-qc]].
[38] S. Nojiri, S. Odintsov and V. Oikonomou, Phys. Rev. D 91 (2015) no.8, 084059 doi:10.1103/PhysRevD.91.084059 [arXiv:1502.07005 [gr-qc]].
[39] S. Nojiri, S. Odintsov, V. Oikonomou and E. N. Saridakis, JCAP 09 (2015), 044 doi:10.1088/1475-7516/2015/9/044 [arXiv:1503.08443 [gr-qc]].
[40] S. Odintsov and V. Oikonomou, Phys. Rev. D 92 (2015) no.2, 024016 doi:10.1103/PhysRevD.92.024016 [arXiv:1504.06866 [gr-qc]].
[41] V. Oikonomou, Phys. Rev. D 92 (2015) no.12, 124027 doi:10.1103/PhysRevD.92.124027 [arXiv:1509.05827 [gr-qc]].
[42] K. Kleidis and V. Oikonomou, Int. J. Geom. Meth. Mod. Phys. 15 (2017) no.04, 1850064 doi:10.1142/S0219887818500640 [arXiv:1711.09270 [gr-qc]].
[43] S. Odintsov and V. Oikonomou, Phys. Rev. D 92 (2015) no.12, 124024 doi:10.1103/PhysRevD.92.124024 [arXiv:1510.04333 [gr-qc]].
[44] P. H. Frampton, K. J. Ludwick and R. J. Scherrer, Phys. Rev. D 84 (2011), 063003 doi:10.1103/PhysRevD.84.063003 [arXiv:1106.4996 [astro-ph.CO]].
[45] I. Brevik, E. Elizalde, S. Nojiri and S. Odintsov, Phys. Rev. D 84 (2011), 103508 doi:10.1103/PhysRevD.84.103508 [arXiv:1107.4642 [hep-th]].
[46] P. H. Frampton, K. J. Ludwick, S. Nojiri, S. D. Odintsov and R. J. Scherrer, Phys. Lett. B 708 (2012), 204-211 doi:10.1016/j.physletb.2012.01.048 [arXiv:1108.0067 [hep-th]].
[47] A. Kamenshchik, Class. Quant. Grav. 30 (2013), 173001 doi:10.1088/0264-9381/30/17/173001 [arXiv:1307.5623 [gr-qc]].
[48] J. D. Bates and P. R. Anderson, Phys. Rev. D 82 (2010), 024018 doi:10.1103/PhysRevD.82.024018 [arXiv:1004.4620 [gr-qc]].
[49] P. Tretyakov, A. Toporensky, Y. Shtanov and V. Sahni, Class. Quant. Grav. 23 (2006), 3259-3274 doi:10.1088/0264- 9381/23/10/001 [arXiv:gr-qc/0510104 [gr-qc]].
[50] H. Calderon and W. A. Hiscock, Class. Quant. Grav. 22 (2005), L23-L26 doi:10.1088/0264-9381/22/4/L01 [arXiv:gr- qc/0411134 [gr-qc]].
[51] E. D. Carlson, P. R. Anderson, J. R. Einhorn, B. Hicks and A. J. Lundeen, Phys. Rev. D 95 (2017) no.4, 044012 doi:10.1103/PhysRevD.95.044012 [arXiv:1607.01699 [gr-qc]].
[52] S. Nojiri and S. D. Odintsov, Phys. Rept. 505 (2011), 59-144 doi:10.1016/j.physrep.2011.04.001 [arXiv:1011.0544 [gr-qc]].