https://doi.org/10.1140/epjc/s10052-015-3293-0
Regular Article - Theoretical Physics
-dimensional traversable wormholes supported by positive energy
Department of Physics, Eastern Mediterranean University, Gazimağusa, Turkey
* e-mail: habib.mazhari@emu.edu.tr
Received:
11
November
2014
Accepted:
24
January
2015
Published online:
18
February
2015
We revisit the shapes of the throats of wormholes, including thin-shell wormholes (TSWs) in dimensions. In particular, in the case of TSWs this is done in a flat -dimensional bulk spacetime by using the standard method of cut-and-paste. Upon departing from a pure time-dependent circular shape i.e., 
for the throat, we employ a 
-dependent closed loop of the form 
and in terms of 
we find the surface energy density 
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 
instead of 
and upon certain choices of functions for 
, we find the total energy of the wormhole to be positive.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
