Mimetic gravity in $(2+1)$-dimensions

TL;DR

This paper constructs the first $(2+1)$-dimensional solutions in mimetic gravity, providing a new platform to study its physical properties and viability in lower-dimensional spacetime, including charged and rotating black holes.

Contribution

It introduces the first $(2+1)$-dimensional solutions of mimetic gravity, expanding the understanding of this theory in lower dimensions.

Findings

Derived stationary black hole solutions with charge and angular momentum.

Analyzed physical properties of these solutions.

Provided a basis for future studies of mimetic gravity in lower dimensions.

Abstract

One of the most important achievements in general relativity has been discovery of the $(2+1)$-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [Phys. Rev. Lett. {\bf69}, 1849 (1992)]. In this paper, we construct, for the first time, the $(2+1)$-dimensional solutions of mimetic theory of gravity. These solutions may provide a powerful background to investigate the physical properties of mimetic gravity and examine its viability in lower spacetime dimensions. In particular, some physical properties of stationary black hole solutions of this theory in the presence of charge or angular momentum are investigated.