• Corpus ID: 119208645

Th\'eorie des champs des contraintes et d\'eformations en relativit\'e g\'en\'erale et expansion cosmologique: Theory of stress and strain fields in general relativity and cosmological expansion

@article{Beau2012TheorieDC,
  title={Th\'eorie des champs des contraintes et d\'eformations en relativit\'e g\'en\'erale et expansion cosmologique: Theory of stress and strain fields in general relativity and cosmological expansion},
  author={Mathieu Beau},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2012}
}
  • M. Beau
  • Published 4 September 2012
  • Mathematics
  • arXiv: General Relativity and Quantum Cosmology
In this article we propose to add stress-energy tensor to the Einstein equations, assuming that the matter-energy and the metric space-time is nothing but a continuous medium with some elastic properties. We first give a general expression of the stress tensor which is linearly related to the strain tensor. Then, we give the particular expression of the stress tensor for a spatially homnogeneous and isotropic cosmological medium. After that we derive the modified Friedmann equations. In first… 

References

SHOWING 1-10 OF 17 REFERENCES

Rotating masses and their effect on inertial frames.

An analysis is given of the stress-energy tensor and geometry produced by slowly rotating bodies. The geometrized mass $\frac{\mathrm{GM}}{{c}^{2}}$ of the body is allowed to be comparable to its

Modifying gravity with the aether : An alternative to dark matter

There is evidence that Newton and Einstein's theories of gravity cannot explain the dynamics of a universe made up solely of baryons and radiation. To be able to understand the properties of

ETHER AND THE THEORY OF RELATIVITY

How does it come about that alongside of the idea of ponderable matter, which is derived by abstraction from everyday life, the physicists set the idea of the existence of another kind of matter, the

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE (WMAP) OBSERVATIONS: FINAL MAPS AND RESULTS

We present the final nine-year maps and basic results from the Wilkinson Microwave Anisotropy Probe (WMAP) mission. The full nine-year analysis of the time-ordered data provides updated

Spacetime and Geometry: An Introduction to General Relativity

1. Special Relativity and Flat Spacetime. 2. Manifolds. 3. Curvature. 4. Gravitation. 5. The Schwarzchild Solution. 6. More General Black Holes. 7. Perturbation Theory and Gravitational Radiation. 8.

Equivalent Lagrangians in generalized mechanics

A correspondence is established between differential equations and equivalence classes of Lagrangians containing higher derivatives. This suggests that a disputed problem of quantization in

Die Grundlage der allgemeinen Relativitätstheorie

Der speziellen Relativitatstheorie liegt folgendes Postulat zugrunde, welchem auch durch die Galilei-Newtonsche Mechanik Genuge geleistet wird: Wird ein Koordinatensystem K so gewahlt, das in bezug

Space clocks and fundamental tests: The ACES experiment

In this article we give an overview of the applications of ultrastable clocks in space. We focus on the case of the ESA space mission ACES, which is scheduled for flight onboard the international

On a Generalization of the Lagrange Function

Some mechanical aspects of a generalization with s-order derivatives of the Lagrange function are examined. The fundamental equations of a generalized Lagrangian mechanics are established