Homogeneous Cosmological Model in Higher Dimension

Details Homogeneous Cosmological Model in Higher Dimension Homogeneous Cosmological Model in Higher Dimension

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.247...57c&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 247, NO. 1/NOV1, P. 57, 1990

Mathematics

Logic

29

Scientific paper

Starting from a homogeneous perfect fluid with ρ = ρ(τ) and p=p(τ) find that the Friedman-Robertson-Walker-type of metric is the unique solution for the higher dimensional spherically symmetric line-element. It is a generalization in the sense that, when the number of dimensions becomes four, the `standard' FRW metric results. Assuming an equation of state p=mρ, the explicit solutions of the scale factor are found and its cosmological implications discussed. Some astrophysical parameters are calculated and a comparison made with the analogous four-dimensional cases. Further, we extend to the case of higher dimensions an earlier result of Eisenstaedt & Santos that the mean density of a four-dimensional local spherical inhomogeneity on a FRW universe should necessarily be equal to the cosmological energy density.

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