Can Galileons support Lorentzian wormholes?
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 2, pp. 338-349
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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.
@article{TMF_2016_187_2_a8,
author = {V. A. Rubakov},
title = {Can {Galileons} support {Lorentzian} wormholes?},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {338--349},
publisher = {mathdoc},
volume = {187},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_187_2_a8/}
}
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/