Towards a Physical Interpretation for the Stephani Universes

@article{Sussman1999TowardsAP,
  title={Towards a Physical Interpretation for the Stephani Universes},
  author={Roberto A. Sussman},
  journal={General Relativity and Gravitation},
  year={1999},
  volume={32},
  pages={1527-1557}
}
  • R. Sussman
  • Published 6 August 1999
  • Physics
  • General Relativity and Gravitation
A physically reasonable interpretation is provided for the perfect fluid, spherically symmetric, conformally flat "Stephani Universes". The free parameters of this class of exact solutions are determined so that the ideal gas relation p = nkBT is identically fulfilled, while the full equation of state of a classical monatomic ideal gas and a matter-radiation mixture holds up to a good approximation in a near dust, matter dominated regime. Only the models having spacelike slices with positive… 
View on Springer
arxiv.org
15 Citations
Highly Influential Citations
2
Background Citations
2

15 Citations

Angular sizes in spherically symmetric Stephani cosmological models

Spherically symmetric Stephani cosmological models are considered in the context of angular sizes of compact as well as expanding objects percepted by an observer placed at the symmetry centre. We…

Local thermal equilibrium and ideal gas Stephani universes

The Stephani universes that can be interpreted as an ideal gas evolving in local thermal equilibrium are determined. Five classes of thermodynamic schemes are admissible, which give rise to five…

Undermining the cosmological principle: almost isotropic observations in inhomogeneous cosmologies

We challenge the widely held belief that the cosmological principle is an obvious consequence of the observed isotropy of the cosmic microwave background radiation (CMB), combined with the Copernican…

Accelerated Expansion of the Universe in the Model with Nonuniform Pressure

We present the particular case of the Stephani solution for shear-free perfect fluid with uniform energy density and nonuniform pressure. Such models appeared as possible alternative to the…

Dark side of the universe in the Stephani cosmology

We investigate the late time acceleration of the universe in the context of the Stephani model. This solution generalizes those of Friedmann–Lemaitre–Robertson–Walker (FLRW) in such a way that the…

The quantum Stephani Universe in the vicinity of the symmetry center

We study a class of spherically symmetric Stephani cosmological models in the presence of a self-interacting scalar field in both classical and quantum domains. We discuss the construction of…

Non-homogeneity-driven universe acceleration

A class of spherically symmetric Stephani cosmological models is examined in the context of evolution type. It is assumed that the equation of state at the symmetry centre of the models is barotropic…

Accelerated expansion of the universe from the perspective of inhomogeneous cosmology

We present a special case of the Stephani solution with spherical symmetry while considering different values of spatial curvature. We investigate the dynamics of the universe evolution in our model,…

On the energy conditions in non‐compact Kaluza‐Klein gravity

We investigate a few cosmological solutions in non‐compact five‐dimensional space‐time which is both Ricci‐flat and conformally flat. We then study the reduced solutions on the brane in detail by…

A class of cosmological solutions in induced matter theory with conformally flat bulk space

Some solutions of 5D conformally flat extension of induced-matter theory are derived. The corresponding induced matter solutions on the 4D hypersurfaces and their properties are presented.

References

SHOWING 1-10 OF 35 REFERENCES

Thermodynamics of the Stephani Universes

The consistency of the thermodynamics of the most general class of a conformally flat solution with an irrotational perfect fluid source (the Stephani Universes) is examined herein. For the case when…

On the Stephani universes

The spacetimes corresponding to a weak version of the cosmological principle are considered. It appears that, starting from very different criteria, they were already obtained by Stephani and studied…

Exact inhomogeneous cosmologies whose source is a radiation-matter mixture with consistent thermodynamics

We derive a new class of exact solutions of Einstein's equations providing a physically plausible hydrodynamical description of cosmological matter in the radiative era ($10^6 K > T > 10^3 K$),…

On a Class of Exact Spherically Symmetric Solutions to the Einstein Gravitational Field Equations

This paper presents a development of a well-known class of Einstein gravitational fields which describe, in comoving coordinates, spherically symmetric perfect fluids with spatially uniform density…

On the global geometry of the stephani universe

A preliminary investigation of global properties of the Stephani solution of the Einstein field equations is presented. This solution generalizes those of Friedman-Robertson-Walker (FRW) in such a…

Space-times with constant vacuum energy density and a conformal Killing vector

We find a class of solutions to the Einstein field equations with constant vacuum energy density (''cosmological constant'') that has a similarity symmetry of the second kind. We show this symmetry…

The Hubble Diagram of Type Ia Supernovae in Non-Uniform Pressure Universes

We use the redshift-magnitude relation, as derived by Dbrowski, for the two exact non-uniform pressure spherically symmetric Stephani universes with the observer positioned at the center of symmetry…

Ideal gas sources for the Lemaître-Tolman-Bondi metrics

New exact solutions emerge by replacing the dust source of the Lemaitre-Tolman-Bondi metrics with a viscous fluid satisfying the monatomic gas equation of state. The solutions have a consistent…

Cosmological solution of Einstein's equations with uniform density and nonuniform pressure.

The solution is a perfect-fluid, spherically symmetric, nonstatic one in which the density is uniform but the pressure is nonuniform, used to model a localized inhomogeneity such as a bubble in the early Universe.

On the thermodynamical interpretation of perfect fluid solutions of the Einstein equations with no symmetry

The Gibbs–Duhem equation dU+pdV=TdS imposes restrictions on the perfect fluid solutions of Einstein equations that have a one-dimensional symmetry group or no symmetry at all. In this paper, we…