Space Time Defects as a Source of Curvature and Torsion

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Presentation at the Sixth Friedman seminar in Cargese 28/6-3/7/2004. Submitted for the proceedings of the seminar to appear in

Scientific paper

10.1142/S0217751X05024596

Space time is described as a continuum four-dimensional medium similar to ordinary elastic continua. Exploiting the analogy internal stress states are considered. The internal ''stress'' is originated by the presence of defects. The defects are described according to the typical Volterra process. The case of a point defect in an otherwise isotropic four-dimensional medium is discussed showing that the resulting metric tensor corresponds to an expanding (or contracting) universe filled up with a non-zero energy-momentum density.

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