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

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

2007-12-10

arxiv.org/abs/0712.1619v1

Class.Quant.Grav.25:165013,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 2 figures

Scientific paper

10.1088/0264-9381/25/16/165013

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.

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