Keywords
conformal factor
general relativity
hyperspace
Einstein
exoticity
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Abstract
For a Morris-Thorne wormhole in a cosmological background we analize the embedding surfaces and deduce an expression for the proper radial distance taking a conformal factor Ω = 1. Further, given the existence of an exotic material (negative energy density), the conditions to have a traversable wormhole are studied taking into account a cosmological background with a time dependent conformal factor Ω. Additionally, the exoticity condition is calculated together with the energy density as measured by a traveler across the wormhole.
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