The Cosmological Spacetime
Abstract
We present here the transformations required to recast the RobertsonWalker metric and FriedmannRobertsonWalker equations in terms of observerdependent coordinates for several commonly assumed cosmologies. The overriding motivation is the derivation of explicit expressions for the radius R_{h} 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 → R_{h}, 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.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2009
 DOI:
 10.1142/S0218271809015746
 arXiv:
 arXiv:0907.5394
 Bibcode:
 2009IJMPD..18.1889M
 Keywords:

 Cosmology;
 dark energy;
 gravitation;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 Accepted for publication in the IJMPD