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18 March 2025
 
  » arxiv » 1605.0583

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A Note on Schwarzschild de Sitter Black Holes in Mimetic $F(R)$ Gravity
V.K. Oikonomou ;
Date 2 May 2016
AbstractIn 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.
Source arXiv, 1605.0583
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