Higher Dimensional Dark Energy Investigation with Variable $Λ$ and $G$

Time variable $Λ$ and $G$ are studied here under a phenomenological model of $Λ$ through an ($n+2$) dimensional analysis. The relation of Zeldovich (1968) $|Λ| = 8πG^2m_p^6/h^4$ between $Λ$ and $G$ is employed here, where $m_p$ is the proton mass and $h$ is Planck's constant. In the present investigation some key issues of modern cosmology, viz. the age problem, the amount of variation of $G$ and the nature of expansion of the Universe have been addressed.

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