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Dynamics of a thin shell in the Reissner—Nordström metric

  • Nuclei, Particles, Fields, Gravitation, and Astrophysics
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Abstract

The dynamics of a thin spherically symmetric gravitating shell around an electrically charged Reissner—Nordström black hole is considered. The energy—momentum tensor of an electrically neutral shell is modeled by an ideal fluid with a polytropic equation of state. The dynamics of a shell with a dust equation of state can be traced completely analytically. The Carter—Penrose diagrams that describe the global geometry and all possible types of motions of a gravitating shell in the case of an eternal black hole have been constructed.

The conditions have been found under which stable oscillatory motions of the shell take place. These transfer it successively from one universe to the next in an infinite series of identical universes. Such stable oscillatory shell motions are shown to be possible for an arbitrary polytropic equation of state of the shell.

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Authors and Affiliations

  1. Institute for Nuclear Research, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 7a, Moscow, 117312, Russia

    V. I. Dokuchaev & S. V. Chernov

  2. Lebedev Physical Institute, Russian Academy of Sciences, Leninskiipr. 53, Moscow, 119991, Russia

    S. V. Chernov

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  1. V. I. Dokuchaev
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  2. S. V. Chernov
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Correspondence to V. I. Dokuchaev.

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Original Russian Text © V.I. Dokuchaev, S.V. Chernov, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ-Fiziki, 2010, Vol. 137, No. 1, pp. 13–23.

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Dokuchaev, V.I., Chernov, S.V. Dynamics of a thin shell in the Reissner—Nordström metric. J. Exp. Theor. Phys. 110, 7–16 (2010). https://doi.org/10.1134/S1063776110010024

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