Discontinuity problem in the linear stability analysis of thin-shell wormholes
Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta, Turkey
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Accepted: 20 May 2019
Published online: 19 July 2019
We investigate the infinite discontinuity points of the stability diagram in thin-shell wormholes. The square of the speed of sound , 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.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019