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2016

A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity

Oikonomou, V. K.

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In this brief note we investigate the conditions under which a Schwarzschild de Sitter black hole spacetime is a solution of the mimetic $F(R)$ gravity with Lagrange multiplier and potential.

As we demonstrate, the resulting mimetic $F(R)$ gravity is a slight modification of the ordinary $F(R)$ gravity case, however the resulting perturbation equations are not in all cases identical to the ordinary $F(R)$ gravity case.
In the latter case, the perturbation equations are identical to the ones corresponding to the Reissner-Nordstr\"{o}m anti-de Sitter black hole.

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