Energy conditions for a $T^2$ wormhole at the center
General Relativity and Quantum Cosmology
2019-10-16 v1
Abstract
Within general relativity, we determine the energy conditions needed for the existence of a toroidal 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.
Keywords
Cite
@article{arxiv.1905.00296,
title = {Energy conditions for a $T^2$ wormhole at the center},
author = {Vladimir Dzhunushaliev and Vladimir Folomeev and Burkhard Kleihaus and Jutta Kunz},
journal= {arXiv preprint arXiv:1905.00296},
year = {2019}
}
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9 pages