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Are slowly rotating Ellis-Bronnikov wormholes stable?

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arxiv 2301.05243 v2 pith:6JECLIMG submitted 2023-01-12 gr-qc hep-th

classification gr-qchep-th
keywords wormholeellis-bronnikovrotatingrotationslowlysolutionsstablewormholes
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the radial perturbations of Ellis-Bronnikov wormholes ($\mathrm{l}=0$) in a slowly rotating background expanded up to second order in rotation. We find indications that simple wormhole solutions such as Ellis-Bronnikov in General Relativity can be stabilized by rotation, thus favoring a viable traversable wormhole. This opens up the intriguing question whether the many other wormhole solutions with or without the support of exotic matter can become linearly mode stable when the wormhole rotates.

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