Hypersurface Homogeneous Cosmological Models with Stiff-Matter in General Relativity

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2019 by IJMTT Journal
Volume-65 Issue-5
Year of Publication : 2019
Authors : Mantu Kumar
  10.14445/22315373/IJMTT-V65I5P523

MLA

MLA Style: Mantu Kumar "Hypersurface Homogeneous Cosmological Models with Stiff-Matter in General Relativity" International Journal of Mathematics Trends and Technology 65.5 (2019): 143-148.

APA Style: Mantu Kumar(2019). Hypersurface Homogeneous Cosmological Models with Stiff-Matter in General Relativity International Journal of Mathematics Trends and Technology, 143-148.

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.

Reference
[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.

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