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- W3121288891 abstract "We revisit the shapes of the throats of wormholes, including thin-shell wormholes (TSWs) in $$2+1$$ dimensions. In particular, in the case of TSWs this is done in a flat $$2+1$$ -dimensional bulk spacetime by using the standard method of cut-and-paste. Upon departing from a pure time-dependent circular shape i.e., $$r=aleft( tright) $$ for the throat, we employ a $$theta $$ -dependent closed loop of the form $$r=Rleft( t,theta right) ,$$ and in terms of $$Rleft( t,theta right) $$ we find the surface energy density $$sigma $$ on the throat. For the specific convex shapes we find that the total energy which supports the wormhole is positive and finite. In addition, we analyze the general wormhole’s throat. By considering the specific equation of $$r=Rleft( theta right) $$ instead of $$r=r_{0}=hbox {const}.,$$ and upon certain choices of functions for $$Rleft( theta right) $$ , we find the total energy of the wormhole to be positive." @default.
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- W3121288891 date "2015-02-01" @default.
- W3121288891 modified "2023-09-25" @default.
- W3121288891 title "$$2+1$$ 2 + 1 -dimensional traversable wormholes supported by positive energy" @default.
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- W3121288891 doi "https://doi.org/10.1140/epjc/s10052-015-3293-0" @default.
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