Classical solutions in five dimensional induced matter theory and its relation to an imperfect fluid
classification
🌀 gr-qc
keywords
dimensionalfivematterdimensionequationsfifthfluidfour
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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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