Energy conditions for a $T^2$ wormhole at the center

Burkhard Kleihaus; Jutta Kunz; Vladimir Dzhunushaliev; Vladimir Folomeev

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Energy conditions for a $T^2$ wormhole at the center

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arxiv 1905.00296 v1 pith:VHEG33IE submitted 2019-04-30 gr-qc

Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz This is my paper · ORCID

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keywords conditionsenergymetricwormholeareacentercentralcomponents

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abstract

Within general relativity, we determine the energy conditions needed for the existence of a toroidal $T^2$ wormhole. For this purpose, we employ the conditions 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.

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