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Lightlike Braneworlds in Anti-de Sitter Bulk Space-Times

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

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Abstract

We consider five-dimensional Einstein–Maxwell–Kalb–Ramond system self-consistently coupled to a lightlike 3-brane, where the latter acts as material, charge and variable cosmological constant source. We find wormhole-like solutions whose total space-time manifold consists of either (a) two “universes”, which are identical copies of the exterior space-time region (beyond the horizon) of five-dimensional Schwarzschild–anti-de Sitter black hole, or (b) a “right” “universe” comprising the exterior space-time region of Reissner–Nordström–anti-de Sitter black hole and a “left” “universe” being the Rindler “wedge” of five-dimensional flat Minkowski space. The wormhole “throat” connecting these “universes”, which is located on their common horizons, is self-consistently occupied by the lightlike 3-brane as a direct result of its dynamics given by an explicit reparametrization-invariant world-volume Lagrangian action. The intrinsic world-volume metric on the 3-brane turns out to be flat, which allows its interpretation as a lightlike braneworld.

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Acknowledgements

E.N. and S.P. are grateful to the organizers for hospitality during the IX-th International Workshop “Lie Theory and Its Applications in Physics”. E.N. and S.P. are supported by Bulgarian NSF grant DO 02-257. Also, all of us acknowledge support of our collaboration through the exchange agreement between the Ben-Gurion University and the Bulgarian Academy of Sciences.

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Authors and Affiliations

  1. Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Eduardo Guendelman & Alexander Kaganovich

  2. Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Emil Nissimov & Svetlana Pacheva

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  1. Eduardo Guendelman
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  2. Alexander Kaganovich
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  3. Emil Nissimov
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  4. Svetlana Pacheva
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Correspondence to Emil Nissimov .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Guendelman, E., Kaganovich, A., Nissimov, E., Pacheva, S. (2013). Lightlike Braneworlds in Anti-de Sitter Bulk Space-Times. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_14

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