In this paper, we study asymptotic properties of static spherically symmetric black holes in quadratic gravity with a cosmological constant $\mathrm{\Lambda }$. We find that for sufficiently large values of $|\mathrm{\Lambda }|$ these black holes are generically asymptotically (A)dS and form a three-parameter family of black holes, with free parameters being the horizon radius, $\mathrm{\Lambda }$, and Bach parameter $b$. For smaller values of $|\mathrm{\Lambda }|$, fine-tuning of the Bach parameter is necessary to recover asymptotically (A)dS behavior, resulting in two distinct two-parameter families of spherically symmetric black holes with (A)dS asymptotics. One family is the (A)dS-Schwarzschild solution, the other is a fine-tuned asymptotically (A)dS-Schwarzschild-Bach solution. We also generalize the above solutions to electrically charged black holes, obtaining qualitatively similar asymptotic behavior. This adds the electric charge as an additional free parameter of these black holes. Both fine-tuned three-parameter families are distinct from Reissner-Nordström black holes.

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• Alternative gravity theories
• Classical black holes