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arXiv · 1810.09222

Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes

Alina Khaybullina·Gulira Tuleganova
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Abstract

Mazharimousavi and Halilsoy [1] recently proposed wormhole solutions in $f(R)$-gravity that satisfy energy conditions but are unstable. We show here that stability could still be achieved for thin-shell wormholes obtained by gluing the wormholes in $f(R)$-gravity with the exterior Schwarzschild vacuum. Using the new geometrical constraints from thin-shell "mass" and from external "force" developed by Garcia, Lobo and Visser, we demarcate and analyze the stability regions.

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Alina Khaybullina, Gulira Tuleganova. 2018-10-22. Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes. https://doi.org/10.1142/s0217732319500068

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