| Summary: | We consider the new horizon first law in <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>R</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> theory. We derive the general formulas to computed the entropy and energy for static spherically symmetric black hole. For applications, some nontrivial solutions in some popular <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>(</mo> <mi>R</mi> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> theories are investigated, the entropies and the energies of static spherically symmetric black holes in these models are first calculated.
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