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F. Melia, MNRAS
1917
Earlier work this paper cites.
W. de Sitter, Proc. Akad. Weteusch. Amsterdam
1917
Earlier work this paper cites.
G. Birkhoff, Relativity and Modern Physics
1923
Earlier work this paper cites.

Similar

W. Rindler, MNRAS
1956
Cited alongside, same era.
A. G. Riess, et al., AJ
1998
Cited alongside, same era.
S. Perlmutter, et al., ApJ
1999
Cited alongside, same era.

Then

J. R. Mould et al. ApJ
2000
Later among the works it cites.
D. N. Spergel et al. ApJS
2003
Later among the works it cites.
F. Melia, Int. J. Mod. Physics D
2008
Later among the works it cites.

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2009

The Cosmological Spacetime

Melia, Fulvio, Abdelqader, Majd

Understand

We present here the transformations required to recast the Robertson-Walker metric and Friedmann-Robertson-Walker equations in terms of observer-dependent 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.