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).

arXiv comment5 pages, 3 figures, references and discussion added

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• Energy Conditions in Modified $f(G)$ Gravity
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• Energy conditions bounds on f(T) gravity
• Energy conditions in modified Gauss-Bonnet gravity
• The Beginning and Evolution of the Universe
• Charged Compact Stars in $f(\mathcal{G})$ Gravity
• Binned Hubble parameter measurements and the cosmological deceleration-acceleration transition
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Correspondence between $f(G)$ Gravity and Holographic Dark Energy via Power-law Solution
• Testing the phenomenological interacting dark energy with observational $H(z)$ data
• Hubble parameter data constraints on dark energy
• Constraints on Dark Energy from Galaxy Cluster Gas Mass Fraction versus Redshift data
• Constraints on dark energy from H II starburst galaxy apparent magnitude versus redshift data
• Interaction between dark energy and dark matter: observational constraints from OHD, BAO, CMB and SNe Ia
• Energy conditions constraints on a class of f(R)-gravity
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• Transitioning Universe with hybrid scalar field in Bianchi I space-time
• Galaxy cluster number count data constraints on cosmological parameters
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• Traversable Morris-Thorne-Buchdahl wormholes in quadratic gravity
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• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
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• Testing the local void hypothesis using baryon acoustic oscillation measurements over the last twenty years
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• Observational constraints on dark energy cosmological model parameters
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• Forecasting cosmological parameter constraints from near-future space-based galaxy surveys
• A model of dark matter dark energy interaction with some cosmic consequences
• $\kappa (R,T)$ gravity
• 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