Kruskal-Penrose formalism for lightlike thin-shell wormholes

Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, Michail Stoilov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


The original formulation of the “Einstein-Rosen bridge” in the classic paper of Einstein and Rosen (1935) is historically the first example of a static spherically-symmetric wormhole solution. It is not equivalent to the concept of the dynamical and non-traversable Schwarzschild wormhole, also called “Einstein- Rosen bridge” in modern textbooks on general relativity. In previous papers of ours we have provided a mathematically correct treatment of the original “Einstein-Rosen bridge” as a traversable wormhole by showing that it requires the presence of a spe­cial kind of “exotic matter” located on the wormhole throat - a lightlike brane (the latter was overlooked in the original 1935 paper). In the present note we continue our thorough study of the original “Einstein-Rosen bridge” as a simplest example of a lightlike thin-shell wormhole by explicitly deriving its description in terms of the Kruskal-Penrose formalism for maximal analytic extension of the underlying wormhole spacetime manifold. Further, we generalize the Kruskal-Penrose descrip­tion to the case of more complicated lightlike thin-shell wormholes with two throats exhibiting a remarkable property of QCD-like charge confinement.

Original languageEnglish
Title of host publicationLie Theory and Its Applications in Physics
EditorsVladimir Dobrev
PublisherSpringer New York LLC
Number of pages15
ISBN (Print)9789811026355
StatePublished - 1 Jan 2016
EventProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015 - Varna, Bulgaria
Duration: 15 Jun 201521 Jun 2015

Publication series

NameSpringer Proceedings in Mathematics and Statistics
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017


ConferenceProceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015

ASJC Scopus subject areas

  • General Mathematics


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