English

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

General Relativity and Quantum Cosmology 2009-10-28 v1

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 GAB=0\rm G_{AB} = 0, led us to four dimensional matter equations Gμν=Tμν\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.

Keywords

Cite

@article{arxiv.gr-qc/9605012,
  title  = {Classical solutions in five dimensional induced matter theory and its relation to an imperfect fluid},
  author = {J. Socorro and V. M. Villanueva and Luis O. Pimentel},
  journal= {arXiv preprint arXiv:gr-qc/9605012},
  year   = {2009}
}

Comments

16 pages, latex, no figures