Geodesic
Can Galileons support Lorentzian wormholes?
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 2, pp. 338-349 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss the possibility of constructing stable, static, spherically symmetric, asymptotically flat Lorentzian wormhole solutions in general relativity coupled to a generalized Galileon field $\pi$. Assuming that the Minkowski space–time is obtained at $\partial\pi=0$, we find that there is tension between the properties of the energy–momentum tensor required to support a wormhole (violation of the average null energy conditions) and stability of the Galileon perturbations about the putative solution (absence of ghosts and gradient instabilities). In three-dimensional space–time, this tension is strong enough to rule out wormholes with the above properties. In higher dimensions, including the most physically interesting case of four-dimensional space–time, wormholes, if any, must have fairly contrived shapes.
Keywords: wormhole, Galileon field. 
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V. A. Rubakov. Can Galileons support Lorentzian wormholes?. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 2, pp. 338-349. http://geodesic.mathdoc.fr/item/TMF_2016_187_2_a8/

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