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

18 pages, 8 figures

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• Mimetic Inflation
• Structure formation in mimetic gravity
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Multi-field Mimetic Gravity
• Isotropic stellar model in mimetic theory
• Extensions of two-field mimetic gravity
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Higher dimensional charged static and rotating solutions in mimetic gravity
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• Regular $(2+1)$-dimensional spatially homogeneous ${\alpha }^{\prime }$-corrected BTZ-like black hole in string theory