Which action for brane worlds?

Details Which action for brane worlds? Which action for brane worlds?

2000-07-09

arxiv.org/abs/hep-th/0007063v2

Phys.Lett. B491 (2000) 333-338

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1016/S0370-2693(00)01058-3

In his pioneering work on singular shells in general relativity, Lanczos had derived jump conditions across energy-momentum carrying hypersurfaces from the Einstein equation with codimension 1 sources. However, on the level of the action, the discontinuity of the connection arising from a codimension 1 energy-momentum source requires to take into account two adjacent space-time regions separated by the hypersurface. The purpose of the present note is to draw attention to the fact that Lanczos' jump conditions can be derived from an Einstein action but not from an Einstein-Hilbert action.

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