Within general relativity, we determine the conditions needed for the existence of a toroidal ${T}^{2}$ wormhole. For this purpose, we employ the requirements of the positiveness of the second derivatives… Click to show full abstract
Within general relativity, we determine the conditions needed for the existence of a toroidal ${T}^{2}$ wormhole. For this purpose, we employ the requirements of the positiveness of the second derivatives of the relevant components of the metric, which describe an increase in the linear sizes (or the area) of the cross section of the throat. The corresponding inequalities for the central energy density and pressures of the matter and for the metric are obtained.
               
Click one of the above tabs to view related content.