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Classical solutions in five dimensional induced matter theory and its relation to an imperfect fluid

J. Socorro·V. M. Villanueva·Luis O. Pimentel
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Abstract

We study five dimensional cosmological models with four dimensional hypersufaces of the Bianchi type I and V. In this way the five dimensional vacuum field equations $\rm G_{AB} = 0$, led us to four dimensional matter equations $\rm G_{μν}=T_{μν}$ and the matter is interpreted as a purely geometrical property of a fifth dimension. Also, we find that the energy-momentum tensor induced from the fifth dimension has the structure of an imperfect fluid that has dissipative terms.

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J. Socorro, V. M. Villanueva, Luis O. Pimentel. 1996-05-07. Classical solutions in five dimensional induced matter theory and its relation to an imperfect fluid. https://doi.org/10.1142/s0217751x96002510

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