Revisiting the Israel junction conditions in Einstein-Cartan gravity

Abstract

The Israel junction conditions of a thin shell in the context of Einstein-Cartan gravity are revisited. It is shown that with a choice of the torsion discontinuity taken to be orthogonal to the hypersurface and consistent with the antisymmetric properties of torsion tensor and contorsion tensor, the generalized asymmetric surface energy-momentum tensor turns out to be tangent to the hypersurface while the resulting generalized Israel junction conditions are modified. The main differences to previous works are mentioned.

7 pages, to appear in IJMPD

References in corpus (3)

• Braneworld Remarks in Riemann-Cartan Manifolds
• Brane world in Non-Riemannian Geometry
• On the stress-energy tensor of a null shell in Einstein-Cartan gravity