Universe With Time Dependent Deceleration Parameter and $\Lambda$ Term in General Relativity

Abstract

A new class of exact solutions of Einstein's field equations with perfect fluid for an LRS Bianchi type-I spacetime is obtained by using a time dependent deceleration parameter. We have obtained a general solution of the field equations from which three models of the universe are derived: exponential, polynomial and sinusoidal form respectively. The behaviour of these models of the universe are also discussed in the frame of reference of recent supernovae Ia observations.

14 pages, 9 figures. Astrophys. Space Sci. (2006), to appear

References in corpus (11)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Constraints on Cosmological Models from Hubble Space Telescope Observations of High-z Supernovae
• On the determination of the deceleration parameter from Supernovae data
• Exponential-Potential Scalar Field Universes I: The Bianchi I Models
• Bulk Viscous Cosmological Models in Barber's Second Self Creation Theory
• Bulk Viscous Solutions to the Field Equations and the Deceleration Parameter-Revisited
• QSSC re-examined for the newly discovered SNe Ia

Cited by in corpus (3)

• Two-fluid atmosphere from decelerating to accelerating FRW dark energy models
• A Generalized Solution of Bianchi Type-V Models with Time-dependent $G$ and $\Lambda$
• Two-body orbit expansion due to time-dependent relative acceleration rate of the cosmological scale factor