Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation |
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Authors: | S H Hendi B Eslam Panah S M Mousavi |
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Institution: | 1.Physics Department, College of Sciences,Yasouj University,Yasouj,Iran;2.Research Institute for Astronomy and Astrophysics of Maragha (RIAAM),Maragha,Iran;3.Department of Physics,University of Tabriz,Tabriz,Iran |
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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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