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Acceleration of particles in spacetimes of black string

Arman TursunovFaculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, CZ-74601 Opava, Czech RepublicMartin KološFaculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, CZ-74601 Opava, Czech RepublicAhmadjon AbdujabbarovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, UzbekistanBobomurat AhmedovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, UzbekistanZdeněk StuchlíkFaculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo nám. 13, CZ-74601 Opava, Czech Republic
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The particle acceleration mechanism in ${S}^{2}\ifmmode\times\else\texttimes\fi{}{\mathbb{R}}^{1}$ topology, namely, in the spacetime of the five-dimensional compact black string, has been studied. The expression of center-of-mass energy of the colliding neutral particles near static black string has been found. The collision of a charged particle moving at the innermost stable circular orbit with a neutral particle coming from infinity has been considered when black string is immersed in external uniform magnetic field. It has been shown that the unlimited center-of-mass energy can be approached in the case of the extremal rotation of the black string which is similar to the analogous effect in Kerr spacetime. We have also obtained that the scattering energy of particles in the center-of-mass system can take arbitrarily large values not only for extremal black string but also for the nonextremal one. It has been derived that the presence of the extra dimension can, in principle, increase the upper limit of efficiency of energy extraction from the extremely rotating black string up to 203% versus 143% which can be extracted from the extreme Kerr black hole.

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