Topological Born-Infeld charged black holes in Einsteinian cubic gravity

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In this paper, we study four-dimensional topological black hole solutions of Einsteinian cubic gravity in the presence of nonlinear Born-Infeld electrodynamics and a bare cosmological constant.

• First, we obtain the field equations which govern our solutions.
• Employing Abbott-Deser-Tekin and Gauss formulas, we present the expressions of conserved quantities, namely total mass and total charge of our topological black solutions.
• We disclose the conditions under which the model is unitary and perturbatively free of ghosts with asymptotically (A)dS and flat solutions.