Space-time defects :Domain walls and torsion

Details Space-time defects :Domain walls and torsion Space-time defects :Domain walls and torsion

1998-11-06

arxiv.org/abs/gr-qc/9811023v1

J.Math.Phys. 39 (1998) 372-379

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

J.Math.Phys.39,(1998),Jan. issue

Scientific paper

The theory of distributions in non-Riemannian spaces is used to obtain exact static thin domain wall solutions of Einstein-Cartan equations of gravity. Curvature $ \delta $-singularities are found while Cartan torsion is given by Heaviside functions. Weitzenb\"{o}ck planar walls are caracterized by torsion $\delta$-singularities and zero curvature. It is shown that Weitzenb\"{o}ck static thin domain walls do not exist exactly as in general relativity. The global structure of Weitzenb\"{o}ck nonstatic torsion walls is investigated.

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