Sushant G. Ghosh, Sunil D. Maharaj
We derive an exact radiating (nonstationary) Kerr-Newman like black hole solutions to, constant curvature $R=R_0$ imposed, metric $f(R)$ gravity. This generates a geometry which precisely that of radiating Kerr-Newman-de Sitter / anti-de Sitter with $f(R)$ gravity term $R_0$ contributing a cosmological-like term. The structure of three horizon-like surfaces, viz. timelike limit, apparent horizons and event horizons, are determined. We demonstrate the existence of additional cosmological horizons, in $f(R)$ gravity model, apart from regular black hole horizons that exist in the analogous general relativity case. In particular, the known stationary Kerr-Newman black hole solutions, of $f(R)$ gravity and general relativity, are also retrieved.
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http://arxiv.org/abs/1208.3028
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