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Wormhole solutions with NUT charge in higher curvature theories

Rustam IbadovDepartment of Theoretical Physics and Computer Science, Samarkand State University, Samarkand, 140104, UzbekistanBurkhard KleihausInstitute of Physics, University of Oldenburg, 26111, Oldenburg, GermanyJutta KunzInstitute of Physics, University of Oldenburg, 26111, Oldenburg, GermanySardor MurodovDepartment of Theoretical Physics and Computer Science, Samarkand State University, Samarkand, 140104, Uzbekistan
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Abstract We present wormholes with a Newman–Unti–Tamburino (NUT) charge that arise in certain higher curvature theories, where a scalar field is coupled to a higher curvature invariant. For the invariants we employ (i) a Gauss–Bonnet term and (ii) a Chern–Simons term, which then act as source terms for the scalar field. We map out the domain of existence of wormhole solutions by varying the coupling parameter and the scalar charge for a set of fixed values of the NUT charge. The domain of existence for a given NUT charge is then delimited by the set of scalarized nutty black holes, a set of wormhole solutions with a degenerate throat and a set of singular solutions.

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