Einstein-Rosen "Bridge" Needs Lightlike Brane Source
arXiv:0904.3198 · doi:10.1016/j.physletb.2009.10.062
Abstract
The Einstein-Rosen "bridge" wormhole solution proposed in the classic paper [1] does not satisfy the vacuum Einstein equations at the wormhole throat. We show that the fully consistent formulation of the original Einstein-Rosen "bridge" requires solving Einstein equations of bulk D=4 gravity coupled to a lightlike brane with a well-defined world-volume action. The non-vanishing contribution of Einstein-Rosen "bridge" solution to the right hand side of Einstein equations at the throat matches precisely the surface stress-energy tensor of the lightlike brane which automatically occupies the throat ("horizon straddling") - a feature triggered by the world-volume lightlike brane dynamics.
16 pages, added explicit expressions for pressure and energy density of the lightlike brane as well as a new paragraph in the conclusions, version to appear in Physics Letters B
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