A universe embedded in a five-dimensional flat space

Details A universe embedded in a five-dimensional flat space A universe embedded in a five-dimensional flat space

Dec 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971gregr...2..367g&link_type=abstract

General Relativity and Gravitation, Volume 2, Issue 4, pp.367-384

Physics

Scientific paper

Since a homogeneous isotropic universe can be embedded in a flat space of five dimensions, the question is considered under what conditions a more general universe can be embedded in a five-dimensional flat space. On the assumption that the deviation from homogeneity is small, it is found that real inhomogeneities can occur only in the case of a universe filled with radiation, or a universe containing at least two different substances with different equations of state, as for example radiation and matter. In the case of a radiation-filled universe, the inhomogeneities can be of arbitrary size and can conceivably be the precursors of galaxies.

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