Mathematics – Logic
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992anphy.218..121c&link_type=abstract
Ann. Phys. (N.Y.), Vol. 218, No. 1, p. 121 - 138
Mathematics
Logic
18
Scientific paper
Assuming a homogeneous matter-energy content such that p = p(t) and d = d(t) the author has obtained exact solutions for cosmological models in higher dimensions under different symmetries. Depending on the form of metric chosen the models are either uniquely Robertson-Walker-like in higher dimensions or differ significantly from the latter in the sense that the geometry is spatially inhomogeneous. Space geometry as regards singularity, astrophysical parameters like "deceleration factor", entropy, and time-temperature relation of the universe are also calculated. Utilizing one of the solutions an expression for luminosity distance function is found in higher dimension and it is observed that the de Sitter spacetime sets an upper limit to the absolute distance of any cosmological source. Further, some remarks of general nature are made about nucleosynthesis in higher dimensional world with the help of time-temperature relation and it is conjectured that dimensionality may have significant impact.
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