Spacetime as a deformable solid

Details Spacetime as a deformable solid Spacetime as a deformable solid

2007-05-28

arxiv.org/abs/0705.4120v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, RevTex4

Scientific paper

In this letter we discuss the possibility of treating the spacetime by itself as a kind of deformable body for which we can define an fundamental lattice, just like atoms in crystal lattices. We show three signs pointing in that direction. We simulate the spacetime manifold by a very specific congruence of curves and use the Landau-Raychadhuri equation to study the behavior of such a congruence. The lattice appears because we are forced to associate to each curve of the congruence a sort of fundamental "particle". The world-lines of these particles should be identified with the congruence fulfilling the spacetime manifold. The conclusion is that when describing the deformations of the spacetime the Einstein equations emerge and the spacetime metric should be treated as a secondary (not fundamental) object of the theory.

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