Abstract
It is shown that Kantowski–Sachs cosmological models do not exist in Rosen's (1973) bimetric theory of gravitation when the source of gravitation is either perfect fluid or cosmic string. Hence, the vacuum model is constructed.
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References
Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)
Dabrowski, M.P.: J. Math. Phys. 36, 2985 (1995)
Dunn, K.A.: J. Math. Phys. 15, 2229 (1974)
Grøn, Ø.: J. Math. Phys. 27, 1490 (1986)
Israelit, M.: Gen. Relat. Gravit. 7, 623 (1976)
Israelit, M.: Gen. Relat. Gravit. 11, 25 (1979)
Israelit, M.: Gen. Relat. Gravit. 13, 681 (1981)
Kantowski, R., Sachs, R.K.: J. Math. Phys. 7, 443 (1966)
Karade, T.M.: Ind. J. Pure Appl. Math. 11, 1202 (1980)
Karade, T.M., Dhoble, Y.S.: Lett. Nuovo Cimento 29, 390 (1980)
Kibble, T.W.B.: J. Phys. A9, 1387 (1976)
Krori, K.D., Goswami, A.K., Purkayastha, A.D.: J. Math. Phys. 36, 1347 (1995)
Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)
Li, X.Z., Hao, J.G.: Phys. Rev. D. 68, 083512 (2003)
Lorenz, D.: J. Phys. A Math. Gen. 16, 575 (1983)
Lorenz, D.: A&SS 98, 101 (1984)
Lyra, G.: Mathematische Zeitschrift 54, 52 (1951)
Matravers, D.R.: Gen. Relat. Gravit. 20, 279 (1988)
Mohanty, G., Sahoo, P.K.: Czech. J. Phys. 52, 1041 (2002)
Mohanty, G., Sahoo, P.K., Mishra, B.: A&SS 281, 609 (2002)
Nordtvedt, K.: ApJ 161, 1059 (1970)
Reddy, D.R.K.: A&SS 286, 365 (2003a)
Reddy, D.R.K.: A&SS 286, 359 (2003b)
Reddy, D.R.K.: A&SS 286, 397 (2003c)
Reddy, D.R.K.: Proceedings of the International Conference on Relativity, Amaravathi University, Amaravati (in press) (2005)
Reddy, D.R.K., Venkateswara Rao, N.: A&SS 257, 293 (1998)
Reddy, D.R.K., Venkateswarlu, R.: A&SS 158, 169 (1989)
Rosen, N.: Gen. Relat. Gravit. 4, 435 (1973)
Rosen, N.: Gen. Relat. Gravit. 6, 259 (1975)
Ross, D.K.: Phys. Rev. D 5, 284 (1972)
Saez, D., Ballester, V.J.: Phys. Lett. A113, 467 (1985)
Singh, T., Singh, G.P.: A&SS 182, 89 (1991)
Singh, T., Agrawal, A.K.: A&SS 182, 289 (1991)
Stachel, J.: Phys. Rev. D 21, 2171 (1980)
Thorne, K.S.: ApJ 148, 51 (1967)
Vilenkin, A.: Phys. Rev. D 121, 263 (1985)
Weber, E.: J. Math. Phys. 25, 3279 (1984)
Weber, E.: J. Math. Phys. 26, 1308 (1985)
Xanthopoulos, B.C., Zannias, T.: J. Math. Phys. 33, 1415 (1992)
Yilmaz, H.: Gen. Relat. Gravit. 6, 269 (1975)
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Reddy, D.R.K., Naidu, R.L. On Kantowski–Sachs Cosmological Models in Bimetric Theory of Gravity. Astrophys Space Sci 301, 185–187 (2006). https://doi.org/10.1007/s10509-006-1622-3
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DOI: https://doi.org/10.1007/s10509-006-1622-3