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Some remarks on certain special BDT-FRW solutions

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Abstract

We wish to point out that the BDT-FRW (k=1) special dust solution obtained by Dehnen and Obregón (1971) and the BDT-FRW (k=1) radiation solution given by Obregón and Chauvet (1978) are contained as special cases in the special perfect fluid Jordan-Brans-Dicke solution first given by Brill (1962). In addition we give a simple proof that the special BDT-FRW (k=1) vacuum solution given by Dehnen and Obregón (1972) does not exist. We finally consider the special case ω=0 and present some new solutions.

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Lorenz-Perzold, D. Some remarks on certain special BDT-FRW solutions. Astrophys Space Sci 106, 415–417 (1984). https://doi.org/10.1007/BF00650365

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