A note on Schwarzschild–de Sitter black holes in mimetic F(R) gravity

In this paper, we investigate the conditions under which a Schwarzschild–de Sitter black hole spacetime is a solution of the mimetic [Formula: see text] gravity with Lagrange multiplier and potential. As we demonstrate, the resulting mimetic [Formula: see text] gravity is a slight modification of the ordinary [Formula: see text] gravity case, however the resulting perturbation equations are not in all cases identical to the ordinary [Formula: see text] gravity case. In the latter case, the perturbation equations are identical to the ones corresponding to the Reissner–Nordström anti-de Sitter black hole.

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