Example of a stable wormhole in general relativity
К. А. БронниковCenter for Gravitation and Fundamental Metrology, VNIIMS, Ozernaya ul. 46, Moscow, 119361, RussiaЛ. Н. ЛипатоваAstro Space Center, Lebedev Physical Institute of RAS, Profsoyuznaya ul. 84/32, Moscow, 117997, RussiaI. D. NovikovAstro Space Center, Lebedev Physical Institute of RAS, Profsoyuznaya ul. 84/32, Moscow, 117997, RussiaA. A. ShatskiyAstro Space Center, Lebedev Physical Institute of RAS, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia
2013en
ABI
Abstract
We study a static, spherically symmetric wormhole model whose metric coincides with that of the so-called Ellis wormhole but the material source of gravity consists of a perfect fluid with negative density and a source-free radial electric or magnetic field. For a certain class of fluid equations of state, it has been shown that this wormholemodel is linearly stable under both spherically symmetric perturbations and axial perturbations of arbitrary multipolarity. A similar behavior is predicted for polar nonspherical perturbations. It thus seems to be the first example of a stable wormhole model in the framework of general relativity (at least without invoking phantom thin shells as wormhole sources).
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Cited by 30 references