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Dynamic thin-shell black-bounce traversable wormholes

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arxiv 2003.09419 v3 pith:DGYNQBW7 submitted 2020-03-23 gr-qc

Dynamic thin-shell black-bounce traversable wormholes

classification gr-qc
keywords black-bounceconstructionshallstandardthin-shelltraversablewormholegeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Based on the recently introduced black-bounce spacetimes, we shall consider the construction of the related spherically symmetric thin-shell traversable wormholes within the context of standard general relativity. All of the really unusual physics is encoded in one simple parameter $a$ which characterizes the scale of the bounce. Keeping the discussion as close as possible to standard general relativity is the theorist's version of only adjusting one feature of the model at a time. We shall modify the standard thin-shell traversable wormhole construction, each bulk region now being a black-bounce spacetime, and with the physics of the thin shell being (as much as possible) derivable from the Einstein equations. Furthermore, we shall apply a dynamical analysis to the throat by considering linearized radial perturbations around static solutions, and demonstrate that the stability of the wormhole is equivalent to choosing suitable properties for the exotic material residing on the wormhole throat. The construction is sufficiently novel to be interesting, and sufficiently straightforward to be tractable.

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