Higher Dimensional Dark Energy Investigation with Variable $\Lambda$ and $G$

Abstract

Time variable $\Lambda$ and $G$ are studied here under a phenomenological model of $\Lambda$ through an ($n+2$) dimensional analysis. The relation of Zeldovich (1968) $|\Lambda |=8\pi G^2{m}_p^6/h^4$ between $\Lambda$ 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.

7 Latex pages with few changes

References in corpus (3)

• The dark energy equation of state
• Dark energy models with time-dependent gravitational constant
• Searching for a Solution to the Age Problem of the Universe

Cited by in corpus (4)

• Dimensionless cosmology
• A Dark Energy Model in Kaluza-Klein Cosmology
• Five Dimensional Cosmological Models in General Relativity
• Stochastic motion of test particle implies that G varies with time