Abstract
The present study deals with locally rotationally symmetric (LRS) Bianchi type II cosmological model representing massive string. The energy-momentum tensor for such string as formulated by Letelier (Phys. Rev. D 28:2414, 1983) is used to construct massive string cosmological model for which we assume that the expansion (θ) in the model is proportional to the shear (σ). This condition leads to A=B m, where A and B are the metric coefficients and m is proportionality constant. For suitable choice of constant m, it is observed that in early stage of the evolution of the universe string dominates over the particle whereas the universe is dominated by massive string at the late time. Our model is in accelerating phase which is consistent to the recent observations of type Is supernovae. Some physical and geometric behavior of the model is also discussed.
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References
Amirhashchi, H., Zainuddin, H.: Electron. J. Theor. Phys. 23, 213 (2010)
Asseo, E., Sol, H.: Phys. Rep. 148, 307 (1987)
Bali, R., Anjali: Astrophys. Space Sci. 302, 201 (2006)
Bali, R., Dave, S.: Pramana-J. Phys. 56, 513 (2001)
Bali, R., Dave, S.: Astrophys. Space Sci. 288, 503 (2003)
Bali, R., Pradhan, A.: Chin. Phys. Lett. 24, 585 (2007)
Bali, R., Singh, D.K.: Astrophys. Space Sci. 300, 387 (2005)
Bali, R., Upadhaya, R.D.: Astrophys. Space Sci. 283, 97 (2003)
Bali, R., Pareek, U.K., Pradhan, A.: Chin. Phys. Lett. 24, 2455 (2007)
Belinchon, J.A.: Astrophys. Space Sci. 323, 307 (2009a)
Belinchon, J.A.: Astrophys. Space Sci. 323, 185 (2009b)
Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Rel. Grav. 12, 805 (1980)
Everett, A.E.: Phys. Rev. 24, 858 (1981)
Kantowski, R., Sachs, R.K.: J. Math. Phys. 7, 433 (1966)
Kibble, T.W.B.: J. Phys. A, Math. Gen. 9, 1387 (1976)
Kibble, T.W.B.: Phys. Rep. 67, 183 (1980)
Kristian, J., Sachs, R.K.: Astrophys. J. 143, 379 (1966)
Krori, K.D., Chaudhuri, T., Mahanta, C.R., Mazumdar, A.: Gen. Rel. Grav. 22, 123 (1990)
Letelier, P.S.: Phys. Rev. D 20, 1294 (1979)
Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Pradhan, A.: Fizika B 16, 205 (2007)
Pradhan, A.: Commun. Theor. Phys. 51, 367 (2009)
Pradhan, A., Mathur, P.: Astrophys. Space Sci. 318, 255 (2008)
Pradhan, A., Jotania, K., Singh, A.: Braz. J. Phys. 38, 167 (2008)
Pradhan, A., Amirhashchi, H., Yadav, M.K.: Fizika B 18, 35 (2009)
Pradhan, A., Singh, R., Shahi, J.P.: Electron. J. Theor. Phys. 7, 197 (2010)
Rao, V.U.M., Vinutha, T.: Astrophys. Space Sci. 325, 59 (2010)
Rao, V.U.M., Santhi, M.V., Vinutha, T.: Astrophys. Space Sci. 314, 73 (2008a)
Rao, V.U.M., Vinutha, T., Santhi, M.V.: Astrophys. Space Sci. 314, 213 (2008b)
Rao, V.U.M., Vinutha, T., Sireesha, K.V.S.: Astrophys. Space Sci. 323, 401 (2009)
Reddy, D.R.K.: Astrophys. Space Sci. 281, 365 (2003)
Reddy, D.R.K.: Astrophys. Space Sci. 300, 381 (2005)
Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 307, 395 (2007)
Reddy, D.R.K., Rao, S., Rao, M.V.: Astrophys. Space Sci. 305, 183 (2005)
Reddy, D.R.K., Naidu, R.L., Rao, V.U.M.: Int. J. Theor. Phys. 46, 1443 (2007)
Riess, R.G., et al.: Astron. J. 116, 1009 (1998)
Roy, S.R., Banerjee, S.K.: Class. Quant. Grav. 11, 1943 (1995)
Saha, B., Visinescu, M.: Astrophys. Space Sci. 315, 99 (2008)
Saha, B., Rikhvitsky, V., Visinescu, M.: arXiv:0812.1443 (2008)
Stachel, J.: Phys. Rev. D 21, 2171 (1980)
Tripathi, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 323, 281 (2009)
Tripathi, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 325, 93 (2010)
Thorne, K.S.: Astrophys. J. 148, 51 (1967)
Vilenkin, A.: Phys. Rev. D 24, 2082 (1981)
Wang, X.X.: Chin. Phys. Lett. 20, 615 (2003)
Wang, X.X.: Astrophys. Space Sci. 293, 933 (2004a)
Wang, X.X.: Chin. Phys. Lett. 21, 1205 (2004b)
Wang, X.X.: Chin. Phys. Lett. 22, 29 (2005)
Wang, X.X.: Chin. Phys. Lett. 23, 1702 (2006)
Yadav, M.K., Pradhan, A., Singh, S.K.: Astrophys. Space Sci. 311, 423 (2007a)
Yadav, M.K., Pradhan, A., Rai, A.: Int. J. Theor. Phys. 46, 2677 (2007b)
Zel’dovich, Ya.B., Kobzarev, I.Yu., Okun, L.B.: Sov. Phys. JETP 40, 1 (1975)
Zel’dovich, Ya.B.: Mon. Not. R. Astron. Soc. 192, 663 (1980)
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Pradhan, A., Ram, P. & Singh, R. LRS Bianchi type-II massive string cosmological model in General Relativity. Astrophys Space Sci 331, 275–279 (2011). https://doi.org/10.1007/s10509-010-0423-x
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DOI: https://doi.org/10.1007/s10509-010-0423-x