On cosmological constant of Generalized Robertson-Walker space-times

Abstract

We study Einstein's equation in $(m+n)D$ and $(1+n)D$ warped spaces $(\bar{M},\bar{g})$ and classify all such spaces satisfying Einstein equations $\bar{G}=-\bar{\Lambda }\bar{g}$. We show that the warping function not only can determine the cosmological constant $\bar{\Lambda }$ but also it can determine the cosmological constant $\Lambda$ appearing in the induced Einstein equations $G=-\Lambda h$ on $(M_2,h)$. Moreover, we discuss on the origin of the $4D$ cosmological constant as an emergent effect of higher dimensional warped spaces.

arXiv comment10 pages

References in corpus (7)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• A simple characterization of generalized Robertson-Walker spacetimes
• Generalized Robertson-Walker space times, a survey
• A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• A quantum cosmology and discontinuous signature changing classical solutions

Cited by in corpus (3)

• Multiply-warped product metrics and reduction of Einstein equations
• Classification of Einstein equations with cosmological constant in warped product space-time
• On Einstein equations with cosmological constant in braneworld models