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.

arXiv comment18 pages, 8 figures

References in corpus (60)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Soft Hair on Black Holes
• The (2+1)-Dimensional Black Hole
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Mimetic Dark Matter
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Cosmology with Mimetic Matter
• Asymptotic charged BTZ black hole solutions
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Soft Heisenberg hair on black holes in three dimensions
• Static spherically symmetric solutions in mimetic gravity: rotation curves & wormholes
• Spacetime structure near generic horizons and soft hair
• Black Hole Entropy and Soft Hair
• On the Thermodynamic Geometry of BTZ Black Holes
• Disformal Transformations, Veiled General Relativity and Mimetic Gravity
• Spinning charged BTZ black holes and self-dual particle-like solutions
• Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
• Nonsingular Black Hole
• Resolving Cosmological Singularities
• Cosmological dynamics of mimetic gravity
• Modified Gauss-Bonnet gravity with Lagrange multiplier constraint as mimetic theory
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• Recovering a MOND-like acceleration law in mimetic gravity
• Accelerating Cosmology and Phase Structure of F(R) Gravity with Lagrange Multiplier Constraint: Mimetic Approach
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Holographic superconductor developed in BTZ black hole background with backreactions
• Charged rotating black holes coupled with nonlinear electrodynamics Maxwell field in the mimetic gravity
• On (in)stabilities of perturbations in mimetic models with higher derivatives
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Non-singular black holes and the Limiting Curvature Mechanism: A Hamiltonian perspective
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Higher Derivative Mimetic Gravity
• Spherically symmetric static vacuum solutions in Mimetic gravity
• Mimetic Black Holes
• Braneworld Mimetic Cosmology
• Greybody factors for a minimally coupled scalar field in three-dimensional Einstein-power-Maxwell black hole background
• Inflation in mimetic f(G) gravity
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• Near horizon dynamics of three dimensional black holes
• Black hole solutions in mimetic Born-Infeld gravity
• Strings in extremal BTZ black holes
• Gauge Field Mimetic Cosmology
• Two-field disformal transformation and mimetic cosmology
• Near-horizon limit of the charged BTZ black hole and AdS_2 quantum gravity
• Can Quantum-Corrected BTZ Black Hole Anti-Evaporate?
• Cosmology in Mimetic SU(2) Gauge Theory
• Asymptotically Free Mimetic Gravity
• Exact black hole formation in three dimensions
• Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics
• Primordial Cosmology in Mimetic Born-Infeld Gravity
• Two-field mimetic gravity revisited and Hamiltonian analysis
• One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics
• Mimetic Black Strings
• Anisotropic Mimetic Cosmology

Cited by in corpus (15)

• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Tsallis Holographic Dark Energy Reconsidered
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• A new model of regular black hole in $(2+1)$ dimensions
• Mimetic Inflation
• Topological black holes in mimetic gravity
• 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
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Extensions of two-field mimetic 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