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arXiv · 1107.5727

Static and spherically symmetric black holes in $f(R)$ theories

Santiago Esteban Perez Bergliaffa·Yves Eduardo Chifarelli de Oliveira Nunes
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Abstract

We study some features of static and spherically symmetric solutions (SSS) with a horizon in $f(R)$ theories of gravitation by means of a near-horizon analysis. A necessary condition for an $f(R)$ theory to have this type of solution is obtained. General features of the effective potential are deduced, and it is shown that there exists a limit on the curvature at the horizon, in both cases for any $f(R$). Finally, we calculate the expression for the energy of the collision of two masive particles in the center of mass frame.

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Santiago Esteban Perez Bergliaffa, Yves Eduardo Chifarelli de Oliveira Nunes. 2011-07-28. Static and spherically symmetric black holes in $f(R)$ theories. https://doi.org/10.1103/physrevd.84.084006

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