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19 April 2024
 
  » arxiv » 1511.0569

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Regular Black Holes in $f(R)$ Gravity
Manuel E. Rodrigues ; Ednaldo L. B. Junior ; Glauber T. Marques ; Vilson T. Zanchin ;
Date 20 Oct 2015
AbstractWe obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes are assumed. The resulting metric functions are given by one real parameter family of solutions which are generalization of known regular black hole solutions in General Relativity. The known solutions of General Relativity are recovered when the free parameter vanish in which case one has $f(R)propto R$. We show that there are particular cases that violates only the strong energy condition.
Source arXiv, 1511.0569
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