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The unified history of the viscous accelerating universe and phase transitions. (English) Zbl 1483.83082

Summary: We propose the unified description of the early acceleration (cosmological inflation) and the present epoch of so called “dark energy”. The inflation can be described by cosmic fluid with van der Waals equation of state and with viscosity term. Viscosity leads to slow-roll inflation with the parameters such as the spectral index, and the tensor-to-scalar ratio in concordance with observational data. Our next step is to modify this equation of state (EoS) to describe the present accelerated expansion. One can add the term into EoS so that the contribution of which is small for inflation but crucial for late-time acceleration. The key point of the model is possible phase transition which leads to decrease of the viscosity. We show that proposed model describes observational data about standard “candles” and correct dependence of Hubble parameter from redshift. Moreover, we propose the possible scenario to resolve dark matter problem.

MSC:

83F05 Relativistic cosmology
83E05 Geometrodynamics and the holographic principle
82C26 Dynamic and nonequilibrium phase transitions (general) in statistical mechanics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
76N06 Compressible Navier-Stokes equations
35D40 Viscosity solutions to PDEs
83C56 Dark matter and dark energy
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References:

[1] Aghanim, N., Astron. Astrophys., 641, A1 (2020)
[2] Akrami, Y., Astron. Astrophys., 641, A10 (2020)
[3] Linde, A. D., Lect. Notes Phys., 738, 1 (2008)
[4] Linde, A. D.
[5] Bamba, K.; Nojiri, S.; Odintsov, S. D.; Saez-Gomez, D., Phys. Rev. D, 90, Article 124061 pp. (2014)
[6] Nojiri, S.; Odintsov, S. D., Int. J. Geom. Methods Mod. Phys., 4, 115 (2007); Nojiri, S.; Odintsov, S. D., Phys. Rev., 68, Article 123512 pp. (2003); Nojiri, S.; Odintsov, S. D., Phys. Rep., 505, 59 (2011)
[7] Brevik, I.; Elizalde, E.; Odintsov, S. D.; Timoshkin, A. V., Int. J. Geom. Methods Mod. Phys., 14, Article 1750185 pp. (2017) · Zbl 1386.83129
[8] Brevik, I.; Elizalde, E.; Obukhov, V. V.; Timoshkin, A. V., Ann. Phys., 529, Article 1600195 pp. (2017)
[9] Wang, J. X.; Meng, X. H., Mod. Phys. Lett. A, 29, Article 1450009 pp. (2014)
[10] Balakin, A. B.; Bochkarev, V. V., Phys. Rev. D, 83, Article 024035 pp. (2011); Balakin, A. B.; Bochkarev, V. V., Phys. Rev. D, 83, Article 024036 pp. (2011)
[11] Nunes, R. C.; Pavon, D., Phys. Rev. D, 91, Article 024036 pp. (2011)
[12] Bolotin, Yu. L.; Kostenko, A.; Lemets, O. A.; Yerokin, D. A., Int. J. Mod. Phys. D, 24, Article 1530007 pp. (2015) · Zbl 1310.83039
[13] Bamba, K.; Capozziello, S.; Nojiri, S.; Odintsov, S. D., Astrophys. Space Sci., 342, 155 (2012) · Zbl 1314.83037
[14] Elizalde, E.; Obukhov, V. V.; Timoshkin, A. V., Mod. Phys. Lett. A, 29, Article 1450132 pp. (2014)
[15] Brevik, I.; Obukhov, V. V.; Timoshkin, A. V., Astrophys. Space Sci., 355, 399 (2015)
[16] Brevik, I.; Obukhov, V. V.; Timoshkin, A. V., Mod. Phys. Lett. A, 29, Article 1450078 pp. (2014) · Zbl 1291.83206
[17] Capozziello, S.; De Martino, S.; Falanga, M., Phys. Lett. A, 299, 494 (2002) · Zbl 0996.85004
[18] Kremer, G. M., Phys. Rev. D, 68, Article 123507 pp. (2003)
[19] Capozziello, S.; Carloni, S.; Troisi, A., Recent Dev. Astron. Astrophys., 1, 625 (2003)
[20] Kremer, G. M., Gen. Relativ. Gravit., 36, 1423 (2004) · Zbl 1052.83041
[21] Khurshudyan, M.; Pourhassan, B.; Kanhya, E. O., Int. J. Geom. Methods Mod. Phys., 11, Article 1450061 pp. (2014) · Zbl 1304.83044
[22] Vardiasli, G.; Halstead, E.; Poltis, R.; Morgan, A.; Tobar, D.
[23] Jantsch, R. C.S.; Christmann, M. H.B.; Kremer, G. M., Int. J. Mod. Phys., 25, Article 1650031 pp. (2016) · Zbl 1336.83022
[24] Riess, A. G., Astron. J., 116, 1009 (1998)
[25] Perlmutter, S., Astrophys. J., 517, 565 (1999)
[26] Li, M.; Li, X.; Wang, S.; Wang, Y., Commun. Theor. Phys., 56, 525 (2011) · Zbl 1247.83282
[27] Cai, Y.-F.; Saridakis, E. N.; Setare, M. R.; Xia, J.-Q., Phys. Rep., 493, 1 (2010)
[28] Kowalski, M., Astrophys. J., 686, 74 (2008)
[29] Zyla, P. A., Prog. Theor. Exp. Phys., 083, C01 (2020)
[30] Amanullah, R., Astrophys. J., 716, 712 (2010)
[31] Brevik, I.; Heen, L. T., Astrophys. Space Sci., 219, 99 (1994) · Zbl 0820.76097
[32] Brevik, I.; Hallanger, A., Phys. Rev. D, 69, Article 024009 pp. (2004)
[33] Cataldo, M.; Cruz, N.; Lepe, S., Phys. Lett. B, 619, 5 (2005)
[34] Brevik, I.; Børven, J. M.; Ng, S., Gen. Relativ. Gravit., 38, 907 (2006) · Zbl 1093.83047
[35] Brevik, I.; Odintsov, S. D., Phys. Rev. D, 65, Article 067302 pp. (2002)
[36] Li, B.; Barrow, J. D., Phys. Rev. D, 79, Article 103521 pp. (2009)
[37] Brevik, I.; Gorbunova, O.; Saez-Gomez, D., Gen. Relativ. Gravit., 42, 1513 (2010) · Zbl 1195.83064
[38] Sebastiani, L., Eur. Phys. J. C, 69, 547 (2010)
[39] Velten, H.; Schwarz, D. J., Phys. Rev. D, 86, Article 083501 pp. (2012)
[40] Velten, H.; Schwarz, D. J.; Fabris, J. C.; Zimdahl, W., Phys. Rev. D, 88, Article 103522 pp. (2013)
[41] Velten, H.; Wang, J.; Meng, X., Phys. Rev. D, 88, Article 123504 pp. (2013)
[42] Bamba, K.; Odintsov, S. D., Eur. Phys. J. C, 76, 18 (2016)
[43] Capozziello, S.; Cardone, V. F.; Elizalde, E.; Nojiri, S.; Odintsov, S. D., Phys. Rev. D, 73, Article 043512 pp. (2006)
[44] Nojiri, S.; Odintsov, S. D., Phys. Lett. B, 649, 440 (2007); Nojiri, S.; Odintsov, S. D., Phys. Lett. B, 639, 144 (2006)
[45] Brevik, I.; Grøn, Ø.; de Haro, J.; Odintsov, S. D.; Saridakis, E. N., Int. J. Mod. Phys. D, 26, Article 1730024 pp. (2017) · Zbl 1431.83186
[46] Odintsov, S. D.; Oikonomou, V. K.; Timoshkin, A. V.; Saridakis, E. N.; Myrzakulov, R., Ann. Phys., 398, 238 (2018)
[47] Capozziello, S.; D’Agostino, R.; Giambò, R.; Luongo, O., Phys. Rev. D, 99, Article 023532 pp. (2019)
[48] Brevik, I., Int. J. Mod. Phys. D, 26, Article 1730024 pp. (2017) · Zbl 1431.83186
[49] Capozziello, S.; De Laurentis, M., Phys. Rep., 509, 167 (2011)
[50] Riess, A. G.; Macri, L. M.; Hoffmann, S. L., Astrophys. J., 826, 56 (2016)
[51] Hooper, D.; Profumo, S., Phys. Rep., 453, 29 (2007)
[52] Nesseris, S.; Perivolaropoulos, L., Phys. Rev. D, 72, Article 123519 pp. (2005); Perivolaropoulos, L., Phys. Rev. D, 71, Article 063503 pp. (2005)
[53] Zhang, C.; Zhang, H.; Yuan, S., Res. Astron. Astrophys., 14, 1221 (2014)
[54] Simon, J.; Verde, L.; Jimenez, R., Phys. Rev. D, 71, Article 123001 pp. (2005)
[55] Moresco, M.; Pozzetti, L.; Cimatti, A., J. Cosmol. Astropart. Phys., 1605, Article 014 pp. (2016)
[56] Moresco, M., Mon. Not. R. Astron. Soc., 450, L16 (2015)
[57] Stern, D., J. Cosmol. Astropart. Phys., 1002, Article 008 pp. (2010)
[58] Ratsimbazafy, A. L.; Loubser, S. I.; Crawford, S. M., Mon. Not. R. Astron. Soc., 467, 3239 (2017)
[59] Alam, S.; Ata, M.; Bailey, S., Mon. Not. R. Astron. Soc., 470, 2617 (2017)
[60] Delubac, T.; Bautista, J. E.; Busca, N. G., Astron. Astrophys., 574, A59 (2015)
[61] Font-Ribera, A.; Kirkby, D.; Busca, N., J. Cosmol. Astropart. Phys., 1405, Article 027 pp. (2014)
[62] Yu, H., Astrophys. J., 856, 3 (2018)
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