The Weak Energy Condition and the Expansion History of the Universe

Abstract

We examine flat models containing a dark matter component and an arbitrary dark energy component, subject only to the constraint that the dark energy satisfies the weak energy condition. We determine the constraints that these conditions place on the evolution of the Hubble parameter with redshift, H(z), and on the scaling of the coordinate distance with redshift, r(z). Observational constraints on H(z) are used to derive an upper bound on the current matter density. We demonstrate how the weak energy condition constrains fitting functions for r(z).

5 pages, 3 figures, references and discussion added

References in corpus (9)

• Dynamics of dark energy
• Energy conditions in f(R)-gravity
• Constraining f(R) theories with the energy conditions
• Energy Conditions and Cosmic Acceleration
• The null energy condition and instability
• Energy conditions and current acceleration of the universe
• Energy Conditions and Supernovae Observations
• Lookback time bounds from energy conditions
• Direct Reconstruction of the Dark Energy Scalar-Field Potential

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• Transitioning Universe with hybrid scalar field in Bianchi I space-time
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• Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• Galaxy Cluster Gas Mass Fraction and Hubble Parameter versus Redshift Constraints on Dark Energy
• Testing the local void hypothesis using baryon acoustic oscillation measurements over the last twenty years
• Energy conditions bounds and supernovae data
• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• A model of dark matter dark energy interaction with some cosmic consequences
• Unified dark fluid with null sound speed as an alternative to phantom dark energy
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Bounding the Hubble flow in terms of the w parameter