TY - GEN

T1 - Kruskal-Penrose formalism for lightlike thin-shell wormholes

AU - Guendelman, Eduardo

AU - Nissimov, Emil

AU - Pacheva, Svetlana

AU - Stoilov, Michail

N1 - Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2016.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85009820692&partnerID=8YFLogxK

U2 - 10.1007/978-981-10-2636-2_15

DO - 10.1007/978-981-10-2636-2_15

M3 - Conference contribution

AN - SCOPUS:85009820692

SN - 9789811026355

T3 - Springer Proceedings in Mathematics and Statistics

SP - 245

EP - 259

BT - Lie Theory and Its Applications in Physics

A2 - Dobrev, Vladimir

PB - Springer New York LLC

T2 - Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015

Y2 - 15 June 2015 through 21 June 2015

ER -