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arxiv: 1702.06823 · v2 · pith:YJL6GWG3new · submitted 2017-02-20 · 🌀 gr-qc

Thin-Shell Wormholes in Neo-Newtonian Theory

classification 🌀 gr-qc
keywords neo-newtonianfluidacousticparametersstabilitystablesurfacetheory
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In this paper, we constructed an acoustic thin-shell wormhole (ATW) under neo-Newtonian theory using the Darmois-Israel junction conditions. To determine the stability of the ATW by applying the cut-and-paste method, we found the surface density and surface pressure of the ATW under neo-Newtonian hydrodynamics just after obtaining an analog acoustic neo-Newtonian solution. We focused on the effects of the neo-Newtonian parameters by performing stability analyses using different types of fluids, such as a linear barotropic fluid (LBF), a Chaplygin fluid (CF), a logarithmic fluid (LogF), and a polytropic fluid (PF). We showed that a fluid with negative energy is required at the throat to keep the wormhole stable. The ATW can be stable if suitable values of the neo-Newtonian parameters $\varsigma$, $A$, and $B$ are chosen.

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