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Energy conditions for a T2 wormhole at the center

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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.

Keywords: conditions wormhole; energy conditions; wormhole center; energy

Journal Title: Physical Review D
Year Published: 2019

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