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Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation

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Abstract

In this paper we obtain topological static solutions of some kind of pure F(R) gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second type has electric charge and is equivalent to the Einstein-Λ-conformally invariant Maxwell solution. In other word, starting from pure gravity leads to (charged) Einstein-Λ solutions which we interpreted them as (charged) (a)dS black hole solutions of pure F(R) gravity. Calculating the Ricci and Kreschmann scalars show that there is a curvature singularity at r = 0. We should note that the Kreschmann scalar of charged solutions goes to infinity as r → 0, but with a rate slower than that of uncharged solutions.

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Authors and Affiliations

  1. Physics Department, College of Sciences, Yasouj University, 75914, Yasouj, Iran

    S. H. Hendi & S. M. Mousavi

  2. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran

    S. H. Hendi

  3. Department of Physics, University of Tabriz, Tabriz, Iran

    B. Eslam Panah

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  1. S. H. Hendi
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Hendi, S.H., Panah, B.E. & Mousavi, S.M. Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation. Gen Relativ Gravit 44, 835–853 (2012). https://doi.org/10.1007/s10714-011-1307-2

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