Kaluza-Klein Cosmology with Varying G and $\Lambda$

Abstract

In this paper we investigate non-compact FRW type Kaluza-Klein cosmology coupled with 5D energy-momentum tensor. The field equations are solved by taking gravitational and cosmological constants as a function of time $t$. We use $\Lambda (t)=\epsilon H^2$ to explore cosmological parameters including statefinder and discuss them for dust, radiation and stiff matter dominated eras. Also, we evaluate lookback time, proper distance, luminosity distance and angular diameter distance. We obtain a universe which is not compatible with current cosmological observations at $\epsilon =6$. However, for $\epsilon >6$, the results are compatible with observational cosmology.

arXiv comment15 pages, no figure, accepted for publication in Astrophys. Space Sci

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Cosmological parameters from SDSS and WMAP
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Statefinder -- a new geometrical diagnostic of dark energy
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• Kaluza-Klein Gravity
• Evolution of the Scale Factor with a Variable Cosmological Term
• Statefinder diagnostic for holographic dark energy model
• Statefinder diagnostic for coupled quintessence
• Statefinder parameters for interacting dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Bulk viscous cosmology: statefinder and entropy
• Higher spin fields and the problem of cosmological constant
• Statefinder Diagnostic for Dilaton Dark Energy
• FRW Cosmology with Variable G and Lambda
• Statefinder Parameters for Tachyon Dark Energy Model
• Statefinder diagnostic for Yang-Mills dark energy model
• Kaluza-Klein Type Robertson Walker Cosmological Model With Dynamical Cosmological Term $\Lambda$

Cited by in corpus (4)

• Statefinder Parameters for Different Dark Energy Models with Variable G Correction in Kaluza-Klein Cosmology
• A Dark Energy Model in Kaluza-Klein Cosmology
• Cosmic Acceleration from Varying Masses in Five Dimensions
• Cosmological applications in Kaluza-Klein theory