THE COSMOLOGICAL SPACETIME

@article{Melia2009THECS,
  title={THE COSMOLOGICAL SPACETIME},
  author={F. Melia and M. Abdelqader},
  journal={International Journal of Modern Physics D},
  year={2009},
  volume={18},
  pages={1889-1901}
}
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 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… Expand
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References

SHOWING 1-10 OF 15 REFERENCES
The cosmic horizon
The cosmological principle, promoting the view that the Universe is homogeneous and isotropic, is embodied within the mathematical structure of the Robertson‐Walker (RW) metric. The equations derivedExpand
Visual horizons in world models
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
We present spectral and photometric observations of 10 Type Ia supernovae (SNe Ia) in the redshift range 0.16 " z " 0.62. The luminosity distances of these objects are determined by methods thatExpand
First year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of cosmological parameters
WMAP precision data enable accurate testing of cosmological models. We find that the emerging standard model of cosmology, a flat � -dominated universe seeded by a nearly scale-invariant adiabaticExpand
Measurements of $\Omega$ and $\Lambda$ from 42 high redshift supernovae
We report measurements of the mass density, Omega_M, and cosmological-constant energy density, Omega_Lambda, of the universe based on the analysis of 42 Type Ia supernovae discovered by the SupernovaExpand
Absorption cross section of RN black hole
The behavior of a charged scalar field in the RN black hole space time is studied using WKBapproximation. In the present work it is assumed that matter waves can get reflected from the eventhorizon.Expand
Int. J. Mod. Physics D
  • Int. J. Mod. Physics D
  • 2008
ApJS
  • ApJS
  • 2003
ApJ
  • ApJ
  • 2000
ApJ
  • ApJ
  • 1999
...
1
2
...