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

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 ${\mathrm{G}}_{\mathrm{AB}}=0$, led us to four dimensional matter equations ${\mathrm{G}}_{\mu \nu }={\mathrm{T}}_{\mu \nu }$ 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.

16 pages, latex, no figures

Cited by in corpus (3)

• Curvature of Multiply Warped Products
• The Behavior of Kasner Cosmologies with Induced Matter
• Higher-order gravity in higher dimensions: Geometrical origins of four-dimensional cosmology?