Cosmodynamics: energy conditions, Hubble bounds, density bounds, time and distance bounds
Open accessAbstract
We refine and extend a programme initiated by one of the current authors (Visser 1997 Science 276 88, Visser 1997 Phys. Rev. D 56 7578) advocating the use of the classical energy conditions of general relativity in a cosmological setting to place very general and robust bounds on various cosmological parameters. We show how the energy conditions can be used to bound the Hubble parameter H ( z ), Omega parameter Ω( z ), density ρ( 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 Ω 0 . The bounds we obtain are typically in the form of polynomial, rational, algebraic or elementary functions, and only in one specific case do we need to deal with special functions (the hypergeometric function). We compare these results with related observations in the literature, in several cases developing new and considerably more general bounds, and then confront these bounds with the recent supernova data.
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The strong energy condition seems to be violated at the largest cosmological scales.
“However, SEC seems to be violated at the largest cosmological scales [50-54].”
From Alcubierre warp drive in spherical coordinates with some matter configurations (2023) · cites this paper as [53]
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References 23 · Cited by 30
Research works printed but not linked: 12
- Visser M 1997 Energy conditions and galaxy formation Proc. 8th Marcel Grossmann Meeting on General Relativity (Jerusalem, June 1997) ed T Piran (Singapore: World Scientific) pp 1348-50 (Preprint gr-qc/9710010) · arXiv
- Visser M and Barceló C 2000 Energy conditions and their cosmological implications Preprint gr-qc/0001099 · arXiv
- Weinberg S 1972 Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (New York: Wiley)
- Peebles P J E 1993 Principles of Physical Cosmology (Princeton, NJ: Princeton University Press)
- Carroll S M 2004 Spacetime and Geometry: An Introduction to General Relativity (San Francisco, CA: Addison-Wesley)
- Hartle J B 2003 Gravity: An Introduction to Einstein's General Relativity (San Francisco, CA: Addison-Wesley)
- Sahni V, Saini T D, Starobinsky A A and Alam U 2003 Pisma Zh. Eksp. Teor. Fiz. 77 249 (Preprint astro-ph/0201498) · arXiv
- Rapetti D, Allen S W, Amin M A and Blandford R D 2006 A kinematical approach to dark energy studies Preprint astro-ph/0605683 · arXiv
- Cattoen C and Visser M 2007 The Hubble series: convergence properties and redshift variables Preprint arXiv:0710.1887 · arXiv
- Seikel M and Schwarz D J 2007 How strong is the evidence for accelerated expansion? Preprint arXiv:0711.3180 · arXiv
- Visser M 1995 Lorentzian Wormholes: From Einstein to Hawking (New York: AIP/Springer)
- d'Inverno R 1992 Introducing Einstein's Relativity (Oxford: Oxford University Press)
- Authors
- Cattoën, C., & Visser, M.
- Affiliations
- Victoria University of Wellington (NZ)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2008-08-05
- Volume
- 25
- Issue
- 16
- Pages
- 165013
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2062483481
- Cited by
- 30
- References
- 23
- Citations by year
- 2026: 2 · 2025: 1 · 2023: 5 · 2022: 2 · 2021: 3 · 2020: 2 · 2018: 1 · 2017: 3 · 2016: 2 · 2013: 2 · 2012: 2
- FWCI
- 0.97
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Royal Society Te Apārangi
- Victoria University of Wellington
- Victoria University
- Marsden Fund
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- energy conditions, cosmological bounds, density bounds, lookback time, redshift dependence, supernova data, hypergeometric functions, cosmological parameters
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