A flat FRW model with dynamical $\Lambda$ as function of matter and geometry

Abstract

We revisit the evolution of the scale factor in a flat FRW spacetime with a new generalized decay rule for the dynamic $\Lambda$-term under modified theories of gravity. It analyses certain cosmological parameters and examines their behaviours in this generalized setting which includes several decay laws in the literature. We have also obtained observational constraints on various model parameters and estimated the present values of cosmological parameters $\{{\Omega }_{m_0}$, ${\Omega }_{{\Lambda }_0}$, $q_0,t_0$, ${\omega }_0\}$ and have discussed with various observational results. Finite time past and future singularities in this model are also discussed. \end{abstract}

arXiv comment11 pages, 6 figures, 4 Tables

References in corpus (31)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• Statefinder -- a new geometrical diagnostic of dark energy
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 9 Spectroscopic Galaxy Sample
• Baryon Acoustic Oscillations in the Lyα forest of BOSS DR11 quasars
• Constraints on dark energy from Chandra observations of the largest relaxed galaxy clusters
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Improved constraints on dark energy from Chandra X-ray observations of the largest relaxed galaxy clusters
• f(R,L_m) gravity
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
• Cosmological Parameters from Cosmic Background Imager Observations and Comparisons with BOOMERANG, DASI, and MAXIMA
• Hubble expansion & Structure Formation in Time Varying Vacuum Models
• Consequences on variable Lambda-models from distant Type Ia supernovae and compact radio sources
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• The Statefinder hierarchy: An extended null diagnostic for concordance cosmology
• A Machian Model of Dark Energy
• Cosmic Acceleration With A Positive Cosmological Constant
• Dark energy models with time-dependent gravitational constant
• Probing Dark Energy Anisotropy
• Reconstructing the Properties of Dark Energy using Standard Sirens
• Dark Energy in a Hyperbolic Universe
• Exact solutions, finite time singularities and non-singular universe models from a variety of $\Lambda (t)$ cosmologies
• The Equivalence between Different Dark (Matter) Energy Scenarios
• Reconstructing the equation of state and density parameter for dark energy from combined analysis of recent SNe Ia, OHD and BAO data

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