Einstein-Rosen "Bridge" Needs Lightlike Brane Source
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.
Cite
@article{arxiv.0904.3198,
title = {Einstein-Rosen "Bridge" Needs Lightlike Brane Source},
author = {Eduardo Guendelman and Alexander Kaganovich and Emil Nissimov and Svetlana Pacheva},
journal= {arXiv preprint arXiv:0904.3198},
year = {2010}
}
Comments
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