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Discontinuity problem in the linear stability analysis of thin-shell wormholes

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Abstract.

We investigate the infinite discontinuity points of the stability diagram in thin-shell wormholes. The square of the speed of sound \( \beta_{0}^{2}\), which is expressed in terms of pressure and energy density at equilibrium on the throat, arises with a divergent amplitude. As this is physically non-acceptable, we revise the equation of state, such that by fine-tuning of the pressure at static equilibrium, which is at our disposal, we eliminate such singularity. The efficacy of the method is shown in Schwarzschild, extremal Reissner-Nordström and dilaton thin-shell wormholes.

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Authors and Affiliations

  1. Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkey

    S. Danial Forghani, S. Habib Mazharimousavi & Mustafa Halilsoy

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  1. S. Danial Forghani
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  2. S. Habib Mazharimousavi
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  3. Mustafa Halilsoy
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Correspondence to S. Danial Forghani.

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Forghani, S.D., Mazharimousavi, S.H. & Halilsoy, M. Discontinuity problem in the linear stability analysis of thin-shell wormholes. Eur. Phys. J. Plus 134, 342 (2019). https://doi.org/10.1140/epjp/i2019-12771-2

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