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.

Categories: gr-qc

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