We provide a detailed analysis of the nontwisting subcase of the large class of type D black holes with a nonaligned electromagnetic field, presented recently in H. Ovcharenko and J. Podolský [Phys. Rev. D 112, 064076 (2025)]. We show that such exact solutions split into two main subclasses that (after a suitable reparametrization) can be interpreted as either the uncharged Schwarzschild or C-metric in the external Bertotti-Robinson (BR) spacetime with geometry ${\mathrm{AdS}}_2\times {\mathrm{S}}_2$, or as the charged Reissner-Nordström black hole accelerating in the external BR electromagnetic field. The distinction between these two subclasses is determined by the parameter $r_0$ that encodes relations between the external Maxwell field (given by the nonaligned components of the Faraday tensor ${\mathrm{\Phi }}_0$, ${\mathrm{\Phi }}_2$) and the Maxwell field created by the charge of the black hole (given by the aligned component ${\mathrm{\Phi }}_1$). Namely, if $r_0=0$ then the electromagnetic field is fully determined by ${\mathrm{\Phi }}_0={\mathrm{\Phi }}_2$, and one gets the C-metric in the BR universe (including also the nonaccelerating Schwarzschild-BR black hole). But if $r_0\ne 0$ then the electromagnetic field is independently determined by both the external BR field and the field of a black hole itself, and this can be interpreted as the Reissner-Nordström black hole accelerating in the Bertotti-Robinson spacetime. Even though such an interpretation of the spacetime family is quite simple, it contains a lot of subtleties (e.g. the no-charge limit of the RN-BR spacetime, the nontrivial dependence on the signs of the mass and charge of a black hole, extreme black holes, and others) which we carefully investigate in this work. We also show the explicit relation to solutions previously found by Van den Bergh and Carminati, and we discuss the connection to the Alekseev-Garcia and Alexeev solutions.

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• Classical black holes
• General relativity
• General relativity equations & solutions