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Wormhole is defined as the topological structure with the throat connectingtwo asymptotically flat spaces. In order to have and maintain the structure ofthe wormhole, there needs the geometrical flare-out condition, i.e., theminimal size at throat. In the case of Morris-Thorne type wormhole, thecondition is given by the huge surface tension compared to the energy densitytimes the square of the light speed. In this paper, we re-considered theflare-out condition for the wormhole with the Einstein equation, checked thefiniteness of the pressure, and investigated its physical meaning.

Flare-out condition of Morris-Thorne wormhole and finiteness of pressure