Example of a stable wormhole in general relativity

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...

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Bibliographic Details
Published in:Gravitation & cosmology 2013-10, Vol.19 (4), p.269-274
Main Authors: Bronnikov, K. A., Lipatova, L. N., Novikov, I. D., Shatskiy, A. A.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Observations and Techniques
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
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Summary: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).
ISSN:0202-2893
1995-0721
DOI:10.1134/S0202289313040038