Abstract
We have studied Friedmann–Robertson–Walker (FRW) cosmological models within the presence of General Relativistic Hydrodynamics (GRH) in General Relativity. Exact solutions of the field equations are deduced by considering the special form of the average scale factor considered by Abdussattar and Prajapati (Astrophys. Space Sci. 331:657, 2011), constraining the deceleration parameter and a special form of deceleration parameter by Singh and Debnath (Int. J. Theor. Phys. 48:351, 2009). The value of the deceleration is always negative which represents an inflationary accelerating model of the universe. The cosmic jerk parameter is positive, throughout the entire life of the universe which ensures an accelerated expansion. The Phantom, Chaplygin gas, and Tachyon fields are discussed. The scalar field values of tachyon and phantom increase with time, while the scalar potential values of tachyon and phantom decrease with time.
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References
Abdussattar, Prajapati, S.R.: Astrophys. Space Sci. 331, 657 (2011)
Adhav, K.S., Bansod, A.S., Ajmire, H.G.: Astrophys. Space Sci. 345, 405 (2013)
Aktas, C.: Mod. Phys. Lett. A 34, 1950098 (2019)
Alam, U., et al.: Mon. Not. R. Astron. Soc. 344, 1057 (2003)
Baiotti, L., Hawke, I., Montero, P.J., Rezzolla, L.: Mem. Soc. Astron. Ital. Suppl. 1, 210 (2003)
Bamba, K., et al.: Astrophys. Space Sci. 342(1), 155 (2012)
Banerjee, N., Das, S.: Gen. Relativ. Gravit. 37, 1695 (2005)
Banyuls, F., Font, J.A., Ibáñez, J.M., Martí, J.M., Miralles, J.A.: Astrophys. J. 476, 221 (1997)
Bars, I., et al.: Phys. Rev. D 84, 083513 (2011)
Bars, I., et al.: Phys. Lett. B 715, 278 (2012)
Begelman, M.C., Blandford, R.D., Rees, M.J.: Rev. Mod. Phys. 56, 255 (1984)
Brandenberger, R., Peter, P.: Found. Phys. 47, 797 (2016)
Capozziello, S.: Phys. Lett. B 632, 597 (2006)
Chaubey, R.: Int. J. Theor. Phys. 48, 952 (2009)
Chiba, T., Nakamura, T.: Prog. Theor. Phys. 100, 1077 (1998)
Debnath, P.S., Paul, B.C.: Astrophys. Space Sci. 366, 32 (2021)
Font, J.A.: Plasma Phys. Control. Fusion 47, B679 (2005)
Font, J.A.: J. Phys. Conf. Ser. 91, 012002 (2007)
Font, J.A.: Living Rev. Relativ. 11, 7 (2008)
Font, J.A., Miller, M., Suen, W., Tobias, M.: Phys. Rev. D 61, 044011 (2002)
Giostri, R., et al.: J. Cosmol. Astropart. Phys. 03, 027 (2012)
Goswami, G.K., Pradhan, A., Beesham, A.: Pramana J. Phys. 93, 89 (2019)
Hatkar, S.P., Dudhe, P.S., Katore, S.D.: Found. Phys. 49, 1067–1085 (2019)
Katore, S.D., Shaikh, A.Y.: Bulg. J. Phys. 42(2), 29–41 (2015a)
Katore, S.D., Shaikh, A.Y.: Astrophys. Space Sci. 357(1), 1–11 (2015b)
Klinkhamer, F.R., Wang, Z.L.: Phys. Rev. D 100, 083534 (2019)
Knop, R.K., et al.: Astrophys. J. 598, 102 (2003)
Komatsu, E., et al.: Astron. Astrophys. Suppl. Ser. 180, 330 (2009)
Kovtun, P.: J. High Energy Phys. 1910, 034 (2019)
Liu, Y.T., Duez, M.D., Shapiro, S.L., Stephens, B.C.: Phys. Rev. D 69, 104030 (2004)
Mishra, B., Ribeiro, G., Moraes, P.H.R.S.: Mod. Phys. Lett. A 34(39), 1950321 (2019)
Novello, M., Berglia, S.E.P.: Phys. Rep. 463, 127 (2008)
Odintsov, S.D., Oikonomou, V.K., Saridakis, E.N.: Ann. Phys. 363, 141 (2015)
Pacif, S.K.J., Mishra, B.: Res. Astron. Astrophys. 15(12), 2141 (2015)
Paul, N., Chakrabarty, S.N., Bhattacharya, K.: J. Cosmol. Astropart. Phys. 1410(10), 009 (2014)
Perlmutter, S.J., et al.: Nature 391, 51 (1998)
Perlmutter, S.J., et al.: Astrophys. J. 517, 565 (1999)
Planck Collaboration: Astron. Astrophys. 641, A6 (2020)
Pons, J.A., Font, J.A., Ibanez, J.M., Mart, J.A., Miralles, J.A.: Astron. Astrophys. 339, 638–642 (1998)
Pradhan, A., Tiwari, R.K., Beesham, A., Zia, R.: Eur. Phys. J. Plus 134, 229 (2019)
Ram, S., Priyanka, Singh, M.K.: Pramana J. Phys. 81 (2013). https://doi.org/10.1007/s12043-013-0547-y
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)
Riess, A.G., et al.: Astrophys. J. 659, 98 (2007)
Sahni, V., Saini, T.D., Starobinsky, A.A., et al.: JETP Lett. 77, 201–206 (2003)
Sarkar, S.: Astrophys. Space Sci. 352(2), 859 (2014)
Sarkar, S.: Int. J. Theor. Phys. 55(1), 481 (2016)
Shaikh, A.Y., Mishra, B.: Int. J. Geom. Methods Mod. Phys. 17(11), 2050158 (2020)
Shaikh, A.Y., Mishra, B.: Commun. Theor. Phys. 73, 025401 (2021)
Shaikh, A.Y., Shaikh, A.S., Wankhade, K.S.: J. Astrophys. Astron. 40, 25 (2019)
Singh, A.K., Debnath, U.: Int. J. Theor. Phys. 48, 351 (2009)
Taub, A.H.: Annu. Rev. Fluid Mech. 10, 301 (1978)
Tegmark, M., et al.: Phys. Rev. D 69, 103501 (2004)
Tripathy, S.K., Mishra, B.: Chin. J. Phys. 63, 448 (2020)
Tripathy, S.K., Khuntia, R.K., Parida, P.: Eur. Phys. J. Plus 134, 504 (2019)
Tripathy, S.K., Pandey, S., Sendha, A.P., Behera, D.: Int. J. Geom. Methods Mod. Phys. 17(04), 2050056 (2020)
Tripathy, S.K., Mishra, B., Ray, S., Sengupta, R.: Chin. J. Phys. 71, 610 (2021)
Wang, B., Gong, Y., Abdalla, E.: Phys. Rev. D 74083520 (2006). https://doi.org/10.1103/PhysRevD.74.083520
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The authors wish to place on record their sincere thanks to the unknown Hon’ble referees for their valuable comments and suggestions which have improved the standard of work.
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Shaikh, A.Y., Shaikh, A.S. & Wankhade, K.S. Non-singular bouncing General Relativistic Hydrodynamics cosmological models. Astrophys Space Sci 366, 71 (2021). https://doi.org/10.1007/s10509-021-03977-9
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DOI: https://doi.org/10.1007/s10509-021-03977-9