Distances in inhomogeneous quintessence cosmology

Abstract

We investigate the properties of cosmological distances in locally inhomogeneous universes with pressureless matter and dark energy (quintessence), with constant equation of state. We give exact solutions for angular diameter distances in theempty beam approximation. In this hypothesis, the distance-redshift equation is derived fron the multiple lens-plane theory. The case of a flat universe is considered with particular attention. We show how this general scheme makes distances degenerate with respect to w_X and the smoothness parameters, alpha, accounting for the homogeneously distributed fraction of energy of the i-components. We analyse how this degeneracy influences the critical redshift where the angular diameter distance takes its maximum, and put in evidence future prospects for measuring the smoothness parameter of the pressureless matter, alpha_M.

24 pages, 9 ps figures

References in corpus (16)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Cosmological Imprint of an Energy Component with General Equation of State
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• CDM Models with a Smooth Component
• Cosmic Concordance and Quintessence
• Limitations in using luminosity distance to determine the equation of state of the universe
• Light Propagation in Arbitrary Spacetimes and the Gravitational Lens Approximation
• Cosmology in a String-Dominated Universe
• Flux-averaging Analysis of Type Ia Supernova Data
• Density Perturbations of Quantum Mechanical Origin and Anisotropy of the Microwave Background
• The Effects of Inhomogeneities on Evaluating the mass parameter ${\Omega }_m$ and the cosmological constant $\Lambda$
• Cosmological properties of a class of $\Lambda$ decaying cosmologies
• Analytical Modeling of the Weak Lensing of Standard Candles I. Empirical Fitting of Numerical Simulation Results
• Angular Diameters as a Probe of a Cosmological Constant and $\Omega$
• The Dyer-Roeder distance in quintessence cosmology and the estimation of H_0 through time-delays

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