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Abstract
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In this paper, we use the Hojman symmetry approach to find new (2 + 1)-dimensional
f(R) gravity solutions, in comparison to Noether symmetry approach. In the special
case of Hojman symmetry vector X = R, we recover (2 + 1)-dimensional Ba˜ nados–
Teitelboim–Zanelli (BTZ) black hole and generalized (2+1)-dimensional BTZ black hole
solutions, obtained by Noether symmetry approach, and the interesting point is that the
cosmological constant is appeared as the direct manifestation of Hojman symmetry.
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