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- W3100801445 abstract "In this paper we have considered the multidimensional cosmological implications of a decay law for $Lambda$ term that is proportional to $beta frac{ddot {a}}{a}$, where $beta$ is a constant and $a$ is the scale factor of RW-space time. We discuss the cosmological consequences of a model for the vanishing pressure for the case $k=0$. It has been observed that such models are compatible with the result of recent observations and cosmological term $Lambda$ gradually reduces as the universe expands. In this model $Lambda$ varies as the inverse square of time, which matches its natural units. The proper distance, the luminosity distance-redshift, the angular diameter distance-redshift, and look back time-redshift for the model are presented in the frame work of higher dimensional space time. The model of the Freese {it et al.} ({it Nucl. Phys. B} {bf 287}, 797 (1987)) for $n=2$ is retrieved for the particular choice of $A_{0}$ and also Einstein-de Sitter model is obtained for $A_{0} = {2/3}$. This work has thus generalized to higher dimensions the well-know result in four dimensional space time. It is found that there may be significant difference in principle at least, from the analogous situation in four dimensional space time." @default.
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- W3100801445 date "2006-01-01" @default.
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- W3100801445 title "HIGHER DIMENSIONAL DUST COSMOLOGICAL IMPLICATIONS OF A DECAY LAW FOR THE Λ TERM: EXPRESSIONS FOR SOME OBSERVABLE QUANTITIES" @default.
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- W3100801445 doi "https://doi.org/10.1142/s0218271806007638" @default.
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