THE COSMOLOGICAL SPACETIME

@article{Melia2009THECS,
  title={THE COSMOLOGICAL SPACETIME},
  author={Fulvio Melia and M. A. 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… 

Physical basis for the symmetries in the Friedmann–Robertson–Walker metric

Modern cosmological theory is based on the Friedmann–Robertson–Walker (FRW) metric. Often written in terms of co-moving coordinates, this well-known solution to Einstein’s equations owes its elegant

Cosmological redshift in Friedmann–Robertson–Walker metrics with constant space–time curvature

Cosmological redshift z grows as the Universe expands and is conventionally viewed as a third form of redshift, beyond the more traditional Doppler and gravitational effects seen in other

The cosmic equation of state

The cosmic spacetime is often described in terms of the Friedmann-Robertson-Walker (FRW) metric, though the adoption of this elegant and convenient solution to Einstein’s equations does not tell us

The zero active mass condition in Friedmann–Robertson–Walker cosmologies

Many cosmological measurements today suggest that the Universe is expanding at a constant rate. This is inferred from the observed age versus redshift relationship and various distance indicators,

Einstein’s Elevator in Cosmology

The metrics of gravitational and cosmological models are brought into canonical form in comoving coordinates. The FWR curvature parameter k is read from this and it is shown that k=0 does not

The Rh=ct universe

The backbone of standard cosmology is the Friedmann-Robertson-Walker solution to Einstein's equations of general relativity (GR). In recent years, observations have largely confirmed many of the

The gravitational horizon for a Universe with phantom energy

The Universe has a gravitational horizon, coincident with the Hubble sphere, that plays an important role in how we interpret the cosmological data. Recently, however, its significance as a true

The gravitational horizon for a Universe with phantom energy

The Universe has a gravitational horizon, coincident with the Hubble sphere, that plays an important role in how we interpret the cosmological data. Recently, however, its significance as a true

The R_h=ct Universe Without Inflation

The horizon problem in the standard model of cosmology (LDCM) arises from the observed uniformity of the cosmic microwave background radiation, which has the same temperature everywhere (except for

Photon Geodesics in FRW Cosmologies

The Hubble radius is a particular manifestation of the Universe’s gravitational horizon, Rh(t0) ≡ c/H0, the distance beyond which physical processes remain unobservable to us at the present epoch.
...

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 derived

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 that

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 Λ-dominated universe seeded by a nearly scale-invariant adiabatic

Measurements of Ω and Λ from 42 High-Redshift Supernovae

We report measurements of the mass density, ΩM, and cosmological-constant energy density, ΩΛ, of the universe based on the analysis of 42 type Ia supernovae discovered by the Supernova Cosmology

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.

MNRAS

  • MNRAS
  • 1917

ApJ

  • ApJ
  • 2000

Int. J. Mod. Physics D

  • Int. J. Mod. Physics D
  • 2008