(2 + 1)-dimensional f(R) gravity solutions via Hojman symmetry

Abstract

In this paper, we use the Hojman symmetry approach to find new [Formula: see text]-dimensional [Formula: see text] gravity solutions, in comparison to Noether symmetry approach. In the special case of Hojman symmetry vector [Formula: see text], we recover [Formula: see text]-dimensional Bañados–Teitelboim–Zanelli (BTZ) black hole and generalized [Formula: see text]-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.