论文标题
(2+1) - 二维F(R)重力解决方案通过Hojman对称性
(2+1)-dimensional f(R) gravity solutions via Hojman symmetry
论文作者
论文摘要
在本文中,我们使用Hojman对称方法来查找新的$(2+1)$ - 尺寸$ f(r)$重力解决方案,与Noether对称方法相比。在Hojman对称向量$ x = r $的特殊情况下,我们恢复$(2+1)$ - 尺寸BTZ黑洞和广义$(2+1)$ - 多维BTZ BLTZ黑洞解决方案,通过Noether对称方法获得,有趣的点是,宇宙学常数是hojman对称性的直接表现。
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 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.