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Rotating regular black hole solution

Bobir ToshmatovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, UzbekistanBobomurat AhmedovInstitute of Nuclear Physics, Ulughbek, Tashkent 100214, UzbekistanAhmadjon AbdujabbarovFaculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo náměstí 13, CZ-74601 Opava, Czech RepublicZdeněk StuchlíkFaculty of Philosophy and Science, Institute of Physics, Silesian University in Opava, Bezručovo náměstí 13, CZ-74601 Opava, Czech Republic
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Abstract

Based on the Newman-Janis algorithm, the Ay\'on-Beato-Garc\'{\i}a spacetime metric [Phys. Rev. Lett. 80, 5056 (1998)] of the regular spherically symmetric, static, and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating a regular black hole is regular and the critical value of the electric charge for which two horizons merge into one sufficiently decreases in the presence of the nonvanishing rotation parameter $a$ of the black hole.

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