Eduardo Guendelman, Mahary Vasihoun
The charge-hiding effect by a wormhole, which was studied for the case where
gravity/gauge-field system is self-consistently interacting with a charged
lightlike brane (LLB) as a matter source, is now studied for the case of a time
like brane. From the demand that no surfaces of infinite coordinate time
redshift appear in the problem we are lead now to a completly traversable
wormhole space, according to not only the traveller that goes through the
wormhole (as was the case for the LLB), but also to a static external observer,
this requires negative surface energy density for the shell sitting at the
throat of the wormhole. We study a gauge field subsystem which is of a special
non-linear form containing a square-root of the Maxwell term and which
previously has been shown to produce a QCD-like confining gauge field dynamics
in flat space-time. The condition of finite energy of the system or asymptotic
flatness on one side of the wormhole implies that the charged object sitting at
the wormhole throat expels all the flux it produces into the other side of the
wormhole, which turns out to be of compactified ("tube-like") nature. An
outside observer in the asymptotically flat non compactified universe detects,
therefore, apparently neutral object. The hiding of the electric flux behind
the wormhole is the only possible way that a trully charged particle can still
be of finite energy, which points to the physical relevance of such solutions,
even though there is the need of negative energy density at the throat of the
wormhole, which can be of quantum mechanical origin.
View original:
http://arxiv.org/abs/1201.0526
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