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It is well known that in order to make the action well defined, one may employ different kinds of boundary conditions (BCs) accompanied by the appropriate Gibbons-Hawking-York (GHY) terms. In this paper we investigate the role of the selected BC and the corresponding GHY terms on the black hole (BH) entropy. Our result shows, regardless of the kind of BC, the BH entropy in all cases is the same as the one obtained under the Dirichlet BC from the Wald formula or semiclassical approximation method. We consider the Schwarzschild solution for f(R)-gravity and general relativity in standard dimensions as special models.
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