Abstract
The Kantowski-Sachs cosmological solutions of massive strings have been studied in the presence of zero-mass scalar field coupled with bulk viscosity. It is assumed that the coefficient of bulk viscosity is a power function of energy density of massive strings. Further we have considered the cosmological parameter as a function of cosmic time. We obtained the general solution of the field equations in polynomial and exponential forms respectively. The behaviors of these models are also discussed in the presence as well as in the absence of bulk.
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Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Sahni, V., Starobinsky, A.: Int. J. Mod. Phys. D 373, 9 (2000)
Singh, A., Upadhaya, C., Pradhan, A.: J. Sci. Technol. 3, 146 (2013)
Pradhan, A., Singh, A., Upadhaya, C.: J. Sci. Technol. 3, 147 (2013)
Agarwal, S., Pandey, R.K., Pradhan, A.: Indian J. Phys. 86, 161 (2012)
Chawla, C., Mishra, R.K., Pradhan, A.: Eur. Phys. J. Plus 127, 137 (2012)
Amirhashchi, H., Zainuddin, H., Pradhan, A.: Int. J. Theor. Phys. 50(8), 2531 (2011)
Pradhan, A., Suman, L.: Electron. J. Theor. Phys. 8, 153 (2011)
Pradhan, A.: Commun. Theor. Phys. 51, 367 (2009)
Pradhan, A.: J. Math. Phys. 50, 022501 (2009)
Pradhan, A., Jotania, K., Singh, A.: Braz. J. Phys. 38, 167 (2008)
Pradhan, A., Matur, P.: Astrophys. Space Sci. 318, 255 (2008)
Pradhan, A., Singh, A., Otarod, S.: Rom. J. Phys. 52, 445 (2007)
Carroll, S.M., Press, W.H., Turner, E.L.: Annu. Rev. Astron. Astrophys. 30, 499 (2000)
Peebles, P.J.E.: Rev. Mod. Phys. 75, 559 (2003)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Perlmutter, S., et al.: Astrophys. J. 483, 565 (1997)
Perlmutter, S., et al.: Nature (London) 391, 51 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Riess, A.G., et al.: Astrophys. J. 560, 49 (2001)
Riess, A.G., et al.: Astrophys. J. 607, 665 (2004)
Riess, A.G., et al.: Astrophys. J. 65, 998 (2007)
Garnavich, P.M., et al.: Astrophys. J. 493, L53 (1998)
Garnavich, P.M., et al.: Astrophys. J. 509, 74 (1998)
Schmidt, B.P., et al.: Astrophys. J. 507, 46 (1998)
Blakeslee, J.P., et al.: Astrophys. J. 589, 693 (2003)
Astier, P., et al.: Astron. Astrophys. 447, 31 (2006)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)
Eisentein, D.J., et al.: Astrophys. J. 633, 560 (2005)
Carroll, S.M.: AIP Conf. Proc. 743, 16 (2005). eConf C0307282,TTH09 (2003)
Kolb, E.W., Matarrese, S., Riotto, A.: New J. Phys. 8, 322 (2006)
Kolb, E.W., Matarrese, S., Notari, A., Riotto, A.: arXiv:hep-th/0503117
Vilenkin, A.: Phys. Rev. D 24, 2082 (1981)
Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)
Satchel, J.: Phys. Rev. D 21, 217 (1980)
Bali, R., Pradhan, A.: Chin. Phys. Lett. 24, 585 (2007)
Bali, R., Pareek, U.K., Pradhan, A.: Chin. Phys. Lett. 24(8), 2455 (2007)
Yadav, M.K., Pradhan, A., Rai, A.: Int. J. Theor. Phys. 46(11), 2677 (2007)
Yadav, M.K., Pradhan, A., Singh, S.K.: Astrophys. Space Sci. 311(4), 423 (2007)
Banerjee, A., Sanyal, A.K., Chakrabarty, S.: Pramāna 34, 1 (1990)
Rahaman, F., Chakraborty, S., Hussain, M., Begum, N., Kalam, M.: Pramāna 60, 153 (2003)
Ram, S., Singh, T.K.: Gen. Relativ. Gravit. 27, 1207 (1995)
Singh, G.P., Singh, T.: Gen. Relativ. Gravit. 31, 391 (1999)
Tikekar, R., Patel, L.K.: Gen. Relativ. Gravit. 24, 397 (1992)
Reddy, D.R.K.: Astrophys. Space Sci. 286, 356 (2003)
Reddy, D.R.K.: Astrophys. Space Sci. 286, 359 (2003)
Pradhan, A., Rai, A., Singh, S.K.: Astrophys. Space Sci. 312, 261 (2007)
Katore, S.D., Rane, R.S.: Pramāna 67, 227 (2006)
Bali, R., Anjali: Astrophys. Space Sci. 302, 201 (2006)
Tripathy, S.K., Sahu, S.K., Rout Ray, T.R.: Astrophys. Space Sci. 315, 105 (2008)
Tripathy, S.K., Nayak, S.K., Sahu, S.K., Rout Ray, T.R.: Astrophys. Space Sci. 318, 125 (2008)
Tripathy, S.K., Nayak, S.K., Sahu, S.K., Rout Ray, T.R.: Int. J. Theor. Phys. 48(1), 213 (2009)
Venkateswarlu, R., Satish, J.: Prespacetime J. 3, 1182 (2012)
Klob, E.W., Turner, M.S.: The Universe. Addison-Wesley, Reading (1990)
Gron, O.: Astrophys. J. 173, 191 (1990)
Misner, C.W.: Nature 214, 40 (1967)
Misner, C.W.: Astrophys. J. 151, 431 (1968)
Bergmann, O., Liepnik, R.: Phys. Rev. 107, 1157 (1957)
Brahma chary, R.L.: Prog. Theor. Phys. 23, 749 (1960)
Das, A.: Prog. Theor. Phys. 24, 915 (1960)
Das, A.: Proc. R. Soc. A, Math. Phys. Eng. Sci. 267, 1 (1962)
Stephenson, G.: Proc. Camb. Philos. Soc. 58, 521 (1972)
Gautraeau, R.: Nuovo Cimento B 62, 360 (1969)
Rao, J.R., Roy, A.R., Tiwari, R.N.: Ann. Phys. 69, 473 (1972)
Singh, T.: Gen. Relativ. Gravit. 5, 657 (1975)
Patel, L.K.: Tensor (N.S.) 29, 273 (1975)
Reddy, D.R.K.: Astrophys. Space Sci. 140, 161 (1988)
Reddy, D.R.K., Venkateswarlu, R.: Astrophys. Space Sci. 136, 17 (1987)
Pradhan, A., Tiwari, K.L., Beesham, A.: Indian J. Pure Appl. Math. 32, 789 (2001)
Venkateswarlu, R., Satish, J., Pavan Kumar, K.: Res. Astron. Astrphys. 12, 636 (2012)
Venkateswarlu, R., Pavan Kumar, K.: Prespacetime J. 4, 1 (2013)
Verma, M.K.: Int. J. Theor. Phys. 51, 1729 (2012)
Roy, S.R., Narain, S., Singh, J.P.: Aust. J. Phys. 38, 239 (1985)
Pavon, D., Bafaluy, J., Jou, D.: Class. Quantum Gravity 8, 357 (1991)
Maartens, R.: Class. Quantum Gravity 12, 1455 (1995)
Zimdahl, W.: Phys. Rev. D 53, 5483 (1996)
Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)
Santos, N.O., Dias, R.S., Banerjee, A.: J. Math. Phys. 26, 878 (1985)
Letelier, P.S.: Phys. Rev. D 20, 1294 (1979)
Berman, M.S., Som, M.M.: Int. J. Theor. Phys. 29, 141 (1990)
Berman, M.S., Som, M.M., Gomide, F.M.: Gen. Relativ. Gravit. 21, 287 (1989)
Berman, M.S.: Int. J. Theor. Phys. 29, 567 (1990)
Berman, M.S.: Int. J. Theor. Phys. 29, 1419 (1990)
Bertolami, O.: Nuovo Cimento 93, 36 (1986)
Bertolami, O.: Fortschr. Phys. 34, 829 (1986)
Beesham, A.: Int. J. Theor. Phys. 25, 1295 (1986)
Beesham, A.: Phys. Rev. D 48, 3539 (1993)
Singh, T., Beesham, A., Mbokazi, W.S.: Gen. Relativ. Gravit. 30, 537 (1998)
Pradhan, A., Kumar, A.: Int. J. Mod. Phys. D 10, 291 (2001)
Ellis, G.F.R.: General Relativity and Cosmology. Academic Press, New York (1971)
Hawking, S.W., Ellis, G.F.R.: The Large-Scale Structure of Spacetime. Cambridge University Press, Cambridge (1973)
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The authors are grateful to the anonymous referee for his constructive comments which improve the quality of this paper.
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Venkateswarlu, R., Satish, J. Kantowski-Sacks Bulk Viscous String Cosmological Models in the Presence of Zero-Mass Scalar Fields. Int J Theor Phys 53, 1879–1895 (2014). https://doi.org/10.1007/s10773-013-1990-8
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DOI: https://doi.org/10.1007/s10773-013-1990-8