Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-03-24
Mod.Phys.Lett.A24:2405-2423,2009
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, To be published in MPLA
Scientific paper
10.1142/S0217732309031703
In this paper we study the Casimir force for a piston configuration in $R^3$ with one dimension being slightly curved and the other two infinite. We work for two different cases with this setup. In the first, the piston is "free to move" along a transverse dimension to the curved one and in the other case the piston "moves" along the curved one. We find that the Casimir force has opposite signs in the two cases. We also use a semi-analytic method to study the Casimir energy and force. In addition we discuss some topics for the aforementioned piston configuration in $R^3$ and for possible modifications from extra dimensional manifolds.
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