Cosmodynamics: Energy conditions, Hubble bounds, density bounds, time and distance bounds

Abstract

We refine and extend a programme initiated by one of the current authors [Science 276 (1997) 88; Phys. Rev. D56 (1997) 7578] advocating the use of the classical energy conditions of general relativity in a cosmological setting to place very general bounds on various cosmological parameters. We show how the energy conditions can be used to bound the Hubble parameter H(z), Omega parameter Omega(z), density rho(z), distance d(z), and lookback time T(z) as (relatively) simple functions of the redshift z, present-epoch Hubble parameter H_0, and present-epoch Omega parameter Omega_0. We compare these results with related observations in the literature, and confront the bounds with the recent supernova data.

arXiv comment21 pages, 2 figures

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• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• Energy conditions bounds on f(T) gravity
• Dark Energy and Dark Matter from an additional adiabatic fluid
• Kinematic constraints beyond $z\simeq 0$ using calibrated GRB correlations
• Generic warp drives violate the null energy condition
• Constraints on the transition redshift from the calibrated Gamma-ray Burst $E_{\mathrm{p}}$-$E_{\mathrm{iso}}$ correlation
• Reconstructing the History of Energy Condition Violation from Observational Data
• Dark Energy: The Shadowy Reflection of Dark Matter?
• Cosmological constraints on holographic dark energy models under the energy conditions
• Perturbative treatment of the luminosity distance
• Bounding the Hubble flow in terms of the w parameter
• Testing the null energy condition with precise distance measurements
• Model independent reconstruction of cosmological accelerated-decelerated phase
• The spacetime geodesy of perfect fluid spheres
• Energy conditions and entropy density of the universe