Abstract
We wish to point out that the Brans-Dicke-Bianchi type-VI0 stiff matter solution recently given by Ram and Singh is not the most general solution of the corresponding field equations. Moreover, this solution has no vacuum limit and the general relativistic limit is obtained only after making an asymptotic expansion. In this paper we rediscuss the entire problem in a different way. In the limit ϕ=const., ω→∞, we obtain both the stiff matter and the vacuum relativistic limit first given by Ellis and MacCallum (1969) in analytic form.
References
Ellis, G. F. R. and MacCallum, M. A. H.: 1969,Comm. Math. Phys. 12, 108.
Johri, V. B. and Goswami, G. K.: 1980,J. Math. Phys. 21, 2269.
Johri, V. B. and Goswami, G. K.: 1981,Australian J. Phys. 34, 261.
Lorenz-Petzold, D.: 1983,Astrophys. Space Sci. 96, 451.
Lorenz-Petzold, D.: 1984a,Acta Phys. Austriaca 55, 209.
Lorenz-Petzold, D.: 1984b,Astrophys. Space Sci. 98, 101.
Lorenz-Petzold, D.: 1984c,Astrophys. Space Sci. 98, 281.
Lorenz-Petzold, D.: 1984d,Acta Phys. Pol. (to appear).
Mohanty, G., Tiwari, R. N., and Rao, J. R.: 1982,Ann. Inst. Henri Poincaré 37, 237.
Ram, S. and Singh, D. K.: 1983,Astrophys. Space Sci. 97, 45.
Ram, S. and Singh, D. K.: 1984,Astrophys. Space Sci. 103, 21.
Ruban, V. A. and Finkelstein, A. M.: 1975,Gen. Rel. Grav. 6, 601.
Singh, T., Rai, L. N., and Tarkeshwar Singh: 1983,Astrophys. Space Sci. 96, 95.
Wainwright, J., Ince, W. C. W., and Marshman, B. J.: 1979,Gen. Rel. Grav. 10, 259.
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Lorenz-Petzold, D. Comment on the BDT-Bianchi type-VI0 stiff matter solution. Astrophys Space Sci 108, 419–421 (1985). https://doi.org/10.1007/BF01068268
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DOI: https://doi.org/10.1007/BF01068268