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Stability analysis of a Morris-Thorne-Bronnikov-Ellis wormhole with pressure

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Abstract

The model of a spherical Morris-Thorne-Bronnikov-Ellis wormhole is analyzed for stability. The matter of this wormhole is composed of a radial monopole magnetic field and a quasi-perfect phantom fluid. In the stationary case, the energy density of this fluid is negative and equal in magnitude to twice the energy density of the magnetic field. There is no pressure of this fluid in the stationary case (phantom dust), while in the case where the fluid energy density deviates from its stationary value, the pressure is proportional to the deviation of the energy density from its stationary value. An example of a wormhole stable against radial perturbations has been obtained.

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Authors and Affiliations

  1. Astrospace Center, Lebedev Physical Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia

    I. D. Novikov & A. A. Shatskiy

  2. Nielse Bohr International Academy, Nielse Bohr Institute, Blegdamsvey 17, DK-2100, Copenhagen, Denmark

    I. D. Novikov

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  1. I. D. Novikov
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  2. A. A. Shatskiy
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Correspondence to I. D. Novikov.

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Original Russian Text © I.D. Novikov, A.A. Shatskiy, 2012, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2012, Vol. 141, No. 5, pp. 919–923.

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Novikov, I.D., Shatskiy, A.A. Stability analysis of a Morris-Thorne-Bronnikov-Ellis wormhole with pressure. J. Exp. Theor. Phys. 114, 801–804 (2012). https://doi.org/10.1134/S1063776112040127

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  • DOI: https://doi.org/10.1134/S1063776112040127

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