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On the extension of the concept of Thin Shells to The Einstein-Cartan Theory

Georges F. Bressange
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Abstract

This paper develops a theory of thin shells within the context of the Einstein-Cartan theory by extending the known formalism of general relativity. In order to perform such an extension, we require the general non symmetric stress-energy tensor to be conserved leading, as Cartan pointed out himself, to a strong constraint relating curvature and torsion of spacetime. When we restrict ourselves to the class of space-times satisfying this constraint, we are able to properly describe thin shells and derive the general expression of surface stress-energy tensor both in its four-dimensional and in its three-dimensional intrinsic form. We finally derive a general family of static solutions of the Einstein-Cartan theory exhibiting a natural family of null hypersurfaces and use it to apply our formalism to the construction of a null shell of matter.

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Georges F. Bressange. 2000-05-08. On the extension of the concept of Thin Shells to The Einstein-Cartan Theory. https://doi.org/10.1088/0264-9381%2F17%2F13%2F304

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