Contributions to the relativistic mechanics of continuous media

@article{Ehlers1993ContributionsTT,
  title={Contributions to the relativistic mechanics of continuous media},
  author={J{\"u}rgen Ehlers},
  journal={General Relativity and Gravitation},
  year={1993},
  volume={25},
  pages={1225-1266}
}
  • J. Ehlers
  • Published 1 December 1993
  • Mathematics
  • General Relativity and Gravitation
This is a translation from German of an article originally published inProceedings of the Mathematical-Natural Science Section of the Mainz Academy of Science and Literature, Nr. 11, 1961 (pp. 792–837) (printed by Franz Steiner and Co, Wiesbaden), which is Paper IV in the series “Exact Solutions of the Field Equations of General Relativity Theory” by Pascual Jordan, Jürgen Ehlers, Wolfgang Kundt and Rainer K. Sachs. The translation has been carried out by G. F. R. Ellis (Department of Applied… 
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References

SHOWING 1-10 OF 29 REFERENCES
An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
Kurt Gödel became interested in general relativity theory while he and Einstein were both on staff of the Institute for Advanced Studies in Princeton, and saw a lot of each other (Ref. 25, p.7, Ref.
The Meaning of Relativity
In 1921, five years after the appearance of his comprehensive paper on general relativity and twelve years before he left Europe permanently to join the Institute for Advanced Study, Albert Einstein
The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
The considerations of the first paper of this series are modified so as to be consistent with the special theory of relativity. It is shown that the inertia of energy does not obviate the necessity
On Gauss' theorem and the concept of mass in general relativity
The present communication is concerned with the extension to general relativity theory of the well-known theorem of Gauss on the Newtonian potential, viz., that the total flux of gravitational force
Relativistic Rankine-Hugoniot Equations
In Part I of this paper the stress energy tensor and the mean velocity vector of a simple gas are expressed in terms of the Maxwell-Boltzman distribution function. The rest density ρ0, pressure, p,
Space-time continua of perfect fluids in general relativity
When the expressions proposed by Einstein for the components of the energy-momentum tensor of matter in the state of a perfect fluid are substituted in the field equations of general relativity,
Necessity of Singularities in the Solution of the Field Equations of General Relativity
The Friedmann solution of the field equations of general relativity predict the expansion of the universe from a singular instant in time. This paper considers the behavior of universes which are
IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
The generalisation to the stationary case of the solution given by Weyl (1918) of Einstein's gravitational equations in a statical axially symmetric universe, has been attempted by various writers.
Thermodynamics and cosmology
A new type of cosmological history which includes large-scale entropy production is proposed. These cosmologies are based on a reinterpretation of the matter-energy stress tensor in Einstein's
Gravitational waves in general relativity III. Exact plane waves
Plane gravitational waves are here defined to be non-flat solutions of Einstein’s empty spacetime field equations which admit as much symmetry as do plane electromagnetic waves, namely, a 5-parameter
...
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