Time Variable Cosmological Constants from the Age of Universe

Abstract

In this paper, time variable cosmological constant, dubbed {\it age cosmological constant}, is investigated motivated by the fact: any cosmological length scale and time scale can introduce a cosmological constant or vacuum energy density into Einstein's theory. The age cosmological constant takes the form ${\rho }_{\Lambda }=3c^2{M}_P^2/t_{\Lambda }^2$, where $t_{\Lambda }$ is the age of our universe or conformal time. The effective equation of state of age cosmological constant are $w_{\Lambda }^{eff}=-1+2/3\frac{\sqrt{{\Omega }_{\Lambda }}}{c}$ and $w_{\Lambda }^{eff}=-1+2/3\frac{\sqrt{{\Omega }_{\Lambda }}}{c}(1+z)$ when the age of universe and conformal time are taken as the role of cosmological time scales respectively. They are the same as the so-called agegraphic dark energy models. However, the evolution history are different from the agegraphic ones for their different evolution equations.

6 pages, 2 figures

References in corpus (17)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• The holographic dark energy in non-flat Brans-Dicke cosmology
• Interacting dark energy, holographic principle and coincidence problem
• Holographic dark energy in Brans-Dicke theory
• Statefinder diagnosis for the interacting model of holographic dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• The Cosmological Dynamics of Interacting Holographic Dark Energy Model
• Cosmological implications of Karolyhazy uncertainty relation
• Holographic dark energy in a cyclic universe
• Inflation with Holographic Dark Energy
• Holographic Dark Energy in Brans-Dicke Theory
• Particle vs. future event horizon in interacting holographic dark energy model
• Holographic Cosmological Constant and Dark Energy
• Reconstructing the interaction between the dark matter and holographic dark energy

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