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arXiv · 1601.00471

Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity

Manuel E. Rodrigues·Julio C. Fabris·Ednaldo L. B. Junior·Glauber T. Marques
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Abstract

In this paper, we determine regular black hole solutions using a very general $f(R)$ theory, coupled to a non-linear electromagnetic field given by a Lagrangian $\mathcal{L}_{NED}$. The functions $f(R)$ and $\mathcal{L}_{NED}$ are left in principle unspecified. Instead, the model is constructed through a choice of the mass function $M(r)$ presented in the metric coefficients. Solutions which have a regular behaviour of the geometric invariants are found. These solutions have two horizons, the event horizon and the Cauchy horizon. All energy conditions are satisfied in the whole space-time, except the strong energy condition (SEC) which is violated near the Cauchy horizon.

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Manuel E. Rodrigues, Julio C. Fabris, Ednaldo L. B. Junior, Glauber T. Marques. 2016-01-04. Generalization of Regular Black Holes in General Relativity to $f(R)$ Gravity. https://doi.org/10.1140/epjc%2Fs10052-016-4085-x

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