Fomin, I. V.; Chervon, S. V. Inflation with explicit parametric connection between general relativity and scalar-tensor gravity. (English) Zbl 1397.83100 Mod. Phys. Lett. A 33, No. 28, Article ID 1850161, 10 p. (2018). Summary: We consider the cosmological inflation with scalar-tensor gravity and compare it with standard inflation based on General Relativity. The difference is determined by the value of the parameter \(\Delta\). This approach is associated with using the special ansatz which links a function that defines a type of gravity with a scale factor of the universe. Cited in 2 Documents MSC: 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 83F05 Relativistic cosmology Keywords:inflation; scalar field; modified gravity theories PDFBibTeX XMLCite \textit{I. V. Fomin} and \textit{S. V. Chervon}, Mod. Phys. Lett. A 33, No. 28, Article ID 1850161, 10 p. (2018; Zbl 1397.83100) Full Text: DOI arXiv References: [1] Starobinsky, A. A., Phys. Lett. B, 91, 99, (1980) [2] Guth, A. H., Phys. Rev. D, 23, 347, (1981) [3] Linde, A. D., Phys. Lett. B, 108, 389, (1982) [4] Albrecht, A.; Steinhardt, P. J., Phys. Rev. Lett., 48, 1220, (1982) [5] Liddle, A. R.; Lyth, D. H., Cosmological Inflation and Large-Scale Structure, 414 pp p. pp., (2000), Cambridge Univ. Press [6] Perlmutter, S., Astrophys. J., 517, 565, (1999) [7] Riess, A. G., Astron. J., 116, 1009, (1998) [8] Frieman, J.; Turner, M.; Huterer, D., Annu. Rev. Astron. Astr., 46, 385, (2008) [9] Unnikrishnan, S.; Sahni, V., J. Cosmol. Astropart. Phys., 2013, 10, 063, (2013) [10] Chervon, S. V., Quantum Matter, 2, 71, (2012) [11] Nojiri, S.; Odintsov, S. D., Phys. Rep., 505, 59, (2011) [12] Nojiri, S.; Odintsov, S. D.; Oikonomou, V. K., Phys. Rep., 692, 1, (2017) [13] Clifton, T.; Ferreira, P. G.; Padilla, A.; Skordis, C., Phys. Rep., 513, 1, (2012) [14] Elizalde, E.; Nojiri, S.; Odintsov, S. D., Phys. Rev. D, 70, 043539, (2004) [15] Faraoni, V., Cosmology in Scalar-Tensor Gravity, 274 pp p. pp., (2004), Springer Netherlands · Zbl 1057.83002 [16] Fujii, Y.; Maeda, K., The Scalar-Tensor Theory of Gravitation, 260 pp p. pp., (2007), Cambridge Univ. Press [17] Fomalont, E.; Kopeikin, S.; Lanyi, G.; Benson, J., Astrophys. J., 699, 1395, (2009) [18] Ade, P. A. R., Astron. Astrophys., 594, A13, (2016) [19] De Felice, A.; Tsujikawa, S., J. Cosmol. Astropart. Phys., 2011, 4, 029, (2011) [20] De Felice, A.; Tsujikawa, S.; Elliston, J.; Tavakol, R., J. Cosmol. Astropart. Phys., 2011, 8, 021, (2011) [21] De Felice, A.; Tsujikawa, S., J. Cosmol. Astropart. Phys., 2012, 2, 007, (2012) [22] Chakraborty, S.; SenGupta, S., Eur. Phys. J. C, 76, 552, (2016) [23] Pozdeeva, E. O.; Skugoreva, M. A.; Toporensky, A. V.; Vernov, S. Y., J. Cosmol. Astropart. Phys., 2016, 12, 006, (2016) [24] Chervon, S. V.; Novello, M.; Triay, R., Gravit. Cosmol., 11, 329, (2005) [25] Chervon, S. V.; Fomin, I. V., Gravit. Cosmol., 14, 163, (2008) [26] Fomin, I. V.; Chervon, S. V., Russ. Phys. J., 60, 427, (2017) [27] Chervon, S. V.; Fomin, I. V.; Beesham, A., Eur. Phys. J. C, 78, 301, (2018) [28] Martin, J.; Ringeval, C.; Vennin, V., Phys. Dark Universe, 5-6, 75, (2014) 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.