NUT solutions in Einstein-Maxwell-scalar-Gauss-Bonnet gravity

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Abstract
In this article, we consider a class of four-dimensional Einstein-Maxwell theory which is coupled nonminimally to a scalar field and the Gauss-Bonnet invariant. We mainly use the numerical methods to find the solutions to the theory, with the Newman, Tamburino, Unti (NUT) twist. We find explicitly the numerical solutions to all of the field equations. To find the appropriate consistent numerical solutions, we use the perturbative expansion of the fields asymptotically, as well as near horizon. The solutions describe the NUTty black holes with the scalar charge which also depend explicitly on the values of the nonminimal coupling constants. We provide a detailed numerical analysis of the solutions in terms of all existing parameters of the theory.
Funding Information
  • Natural Sciences and Engineering Research Council of Canada

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