(2+1)-dimensional solutions in $F(R)$ gravity

TL;DR

This paper explores new (2+1)-dimensional black hole solutions in $F(R)$ gravity, including near horizon, Lifshitz asymptotic, and rotating black holes, expanding understanding of lower-dimensional modified gravity models.

Contribution

It presents novel (2+1)-dimensional solutions in $F(R)$ gravity, including Lifshitz and rotating black holes, which were not previously studied in this context.

Findings

Found near horizon solutions in $F(R)$ gravity.

Derived asymptotically Lifshitz black hole solutions.

Discussed rotating black holes with exponential $F(R)$ form.

Abstract

Motivated by the well-known charged BTZ black holes, we look for $(2+1)$-dimensional solutions of $F(R)$ gravity. At first we investigate some near horizon solutions and after that we obtain asymptotically Lifshitz black hole solutions. Finally, we discuss about rotating black holes with exponential form of $F(R)$ theory.