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arxiv: 0809.0927 · v1 · submitted 2008-09-04 · 🌀 gr-qc

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Traversable wormholes from surgically modified Schwarzschild spacetimes

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classification 🌀 gr-qc
keywords analysistraversablewormholesclassschwarzschildspacetimesstabilitystress--energy
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In this paper I present a new class of traversable wormholes. This is done by surgically grafting two Schwarzschild spacetimes together in such a way that no event horizon is permitted to form. This surgery concentrates a non--zero stress--energy on the boundary layer between the two asymptotically flat regions. I shall investigate this stress--energy in detail using the "junction condition" formalism. A feature of the present analysis is that this class of traversable wormholes is sufficiently simple for a (partial) dynamical stability analysis to be carried out. The stability analysis places constraints on the equation of state of the exotic matter that comprises the throat of the wormhole.

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