Two-throat asymptotically flat wormholes

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Key Points

The aim is to systematically construct traversable wormhole spacetimes with two symmetric throats using general relativity.
Employed an embedding formalism to establish an analytic relation between radial coordinate and embedding function.
Derived a composite shape function featuring asymptotically flat and tunnel branches of the wormhole.
Analyzed Einstein field equations to assess energy conditions present in the wormhole structure.
Identified violations of weak, null, and dominant energy conditions in the wormhole spacetimes.
Established a critical relationship between throat separation and energy density that impacts stability.
Demonstrated that specific configurations allow positive energy density at the throats with a phantom-type radial pressure.

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Constructs traversable wormhole spacetimes with two symmetric throats, indicating potential for unique gravitational structures.

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Cataldo et al. (2026) studied this question.

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