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New class of N-dimensional braneworlds

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Abstract

The new class of the non-stationary solutions to the system of N-dimensional equations for coupled gravitational and massless scalar field is found. The model represents a single (N-1)-brane in a space-time with one large (infinite) and (N-5) small (compact) space-like extra dimensions. In some particular cases the model corresponds to the gravitational and scalar field standing waves bounded by the brane. These braneworlds can be relevant in string and other higher dimensional models.

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Acknowledgments

M.G. was partially supported by the grant of Shota Rustaveli National Science Foundation \(\#\mathrm{DI}/8/6-100/12\). The research of P.M. was supported by Ilia State University (Georgia).

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Authors and Affiliations

  1. Andronikashvili Institute of Physics, 6 Tamarashvili St., 0177 , Tbilisi, Georgia

    Merab Gogberashvili

  2. Ilia State University, 3/5 Cholokashvili Ave., 0162 , Tbilisi, Georgia

    Pavle Midodashvili

  3. Javakhishvili State University, 3 Chavchavadze Ave., 0179 , Tbilisi, Georgia

    Merab Gogberashvili & Giorgi Tukhashvili

Authors
  1. Merab Gogberashvili
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  2. Pavle Midodashvili
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  3. Giorgi Tukhashvili
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Correspondence to Merab Gogberashvili.

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Gogberashvili, M., Midodashvili, P. & Tukhashvili, G. New class of N-dimensional braneworlds. Gen Relativ Gravit 46, 1697 (2014). https://doi.org/10.1007/s10714-014-1697-z

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