The cosmological spacetime

Fulvio Melia, Majd Abdelqader

Research output: Contribution to journalArticlepeer-review

59 Scopus citations


We present here the transformations required to recast the RobertsonWalker metric and FriedmannRobertsonWalker equations in terms of observer-dependent coordinates for several commonly assumed cosmologies. The overriding motivation is the derivation of explicit expressions for the radius Rh of our cosmic horizon in terms of measurable quantities for each of the cases we consider. We show that the cosmological time dt diverges for any finite interval ds associated with a process at R → Rh, which therefore represents a physical limit to our observations. This is a key component required for a complete interpretation of the data, particularly as they pertain to the nature of dark energy. With these results, we affirm the conclusion drawn in our earlier work that the identification of dark energy as a cosmological constant does not appear to be consistent with the data.

Original languageEnglish (US)
Pages (from-to)1889-1901
Number of pages13
JournalInternational Journal of Modern Physics D
Issue number12
StatePublished - Nov 30 2009


  • Cosmology
  • Dark energy
  • Gravitation

ASJC Scopus subject areas

  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science


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