Hypersurface Homogeneous Cosmological
Models with Stiff-Matter in General Relativity

Dr. Mantu Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V65I5P523

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 5 | Year 2019 | Article Id. IJMTT-V65I5P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I5P523

Hypersurface Homogeneous Cosmological Models with Stiff-Matter in General Relativity

Dr. Mantu Kumar

Abstract

In this paper, we present Einstein’s field equations for perfect fluid within the frame work of hyper surface homogeneous space-time. Exact solutions of the field equations are obtained which represent cosmological models in the presence of stiff fluid. The physical and kenematical behaviors of the cosmological models are discussed.

Keywords

Hypersurface homogeneous space-time. Stiff-matter cosmological models.

References

[1]. Chandel, S, singhM.K. and Shri Ram (2012) : Ad. studies, theorphys (2012)., 6, 1189.
[2] Collins, C.B. (1971): Comm. Math. Phys., 23, 137.
[3] Conklin, E.K. and Bracewell, R.N. (1967): Phys. Rev. Letters, 18, 614.
[4] Dunn, K.A. and Tupper, B.O.J. (1976): Astrophys. J., 180, 317.
[5] Ellis, G.F.R. and MacCallum, M.A.H. (1969): Comm. Math. Phys., 12, 20.
[6] Friedmann, A. (1922): Z. Physik, 10, 377.
[7] Friedmann, A. (1924): Z. Physik, 21, 326.
[8] Hajj-Boutrös, J. (1984): In Gravitation Geometry and Relativity Physics, Springer, Berlin, p-51.
[9] Hajj-Boutrös, J. (1985): J. Math. Phys., 26, 2297
[10] Lorentz, D. (1982): Astrophys. Space Sci., 85, 69.
[11] Mazumdar, A. (1994): Ger. Rel. Grav., 26, 307.
[12] Partridge, R.B. and Wilkinson, D.T. (1967): Phys. Rev. Letters, 18, 557.
[13] Penzias, A.A. and Wilson, R.W. (1967): Science, 156, 1100.
[14] Ribeiro, B.M. and Sanyal, A.K. (1987): J. Math. Phys., 28, 657.
[15] Robertson, H.P. (1935): Astrophys. J., 82, 284.
[16] Robertson, H.P. (1936): Astrophys. J., 83, 187, 256.
[17] Roy, S.R. and Singh, J.P. (1983): ActaPhysicaAustriaca, 5, 57.
[18] Ruban, V.A. (1978): Preprint no. 412, Leningred Institute of Nuclear Physics B.P. Konstrantinova.
[19] Ryan, M. and Shepley, L.C. (1975): Homogeneous Relativistic Cosmologies, Princeton University Press, Princeton, newJersy.
[20] Shri Ram (1989): Int. J. Theor. Phys., 28, 917.
[21] Shri Ram and Chandel, S (2014)., : Journal of dynamical systems with Geometric theories (2014) :12, . 93.
[22] Shri Ram and Verma, M.K. (2010): Astrophys. Space sci., 330, 157.
[23] Shri Ram, Chandel, S and Verma, M.K. (2015): Candian journal of phys. (2015): 93,1009 (2015).
[24] Shri Ram, Chandel, S and Verma, M.K.Pramana : J. Phys., (2016): 88, 55.
[25] Stewart, J. M. and Ellis, G.F.R. (1968): J. Math Phys., 9, 1072.
[26] Tiwari, R.K. and Mishra, V. (2018) :7, 2111.
[27] Verma ,M.K. and Shri Ram (2010) : Astrophys. space science., 326, 299.
[28] Walker, A.G. (1935): Quart. J. Math. Oxford Ser, 6, 81.
[29] Walker, A.G. (1936): Proc. Lond. Math. Soc. (2), 42, 90.

Citation :

Dr. Mantu Kumar, "Hypersurface Homogeneous Cosmological Models with Stiff-Matter in General Relativity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 5, pp. 143-148, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I5P523