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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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16 pages, latex, no figures

Scientific paper

10.1142/S0217751X96002510

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 $\rm G_{\mu\nu}=T_{\mu\nu}$ 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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