Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes

Abstract

We consider the $D\to 3$ limit of Gauss-Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole that does not have constant curvature but whose thermodynamics is identical. The other theory admits a solution that is asymptotically AdS but does not approach the BTZ black hole in the limit of small Gauss-Bonnet coupling. We also discuss the distinction between our solutions and those obtained by taking a $D\to 3$ limit of solutions to $D$-dimensional Einstein Gauss-Bonnet gravity. We find that these latter metrics are not solutions of the theories we consider except for particular constraints on the parameters.

arXiv comment8 pages v2: added references

References in corpus (38)

• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• The (2+1)-Dimensional Black Hole
• Scalar, electromagnetic and Weyl perturbations of BTZ black holes: quasi normal modes
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Gravitationally Collapsing Dust in $(2+1)$ Dimensions
• The $D\to 2$ Limit of General Relativity
• Black holes in the four-dimensional Einstein-Lovelock gravity
• Grey-body factors and Hawking radiation of black holes in $4D$ Einstein-Gauss-Bonnet gravity
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Amplitudes and 4D Gauss-Bonnet Theory
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Spinning test particle in four-dimensional Einstein-Gauss-Bonnet Black Hole
• Vacua in novel 4D Einstein-Gauss-Bonnet Gravity: pathology and instability?
• Thin Accretion Disk around a four-dimensional Einstein-Gauss-Bonnet Black Hole
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• A study on black hole shadows in asymptotically de Sitter spacetimes
• Regularized Lovelock gravity
• Thermodynamics of Charged Black Holes in Einstein-Horndeski-Maxwell Theory
• BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
• Bending of light in novel 4$D$ Gauss-Bonnet-de Sitter black holes by Rindler-Ishak method
• Influence of the back reaction of the Hawking radiation upon black hole quasinormal modes
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• 4D Einstein-Lovelock black holes: Hierarchy of orders in curvature
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Rotating 4D Gauss-Bonnet black hole as particle accelerator
• Off-shell Noether current and conserved charge in Horndeski theory
• Three Dimensional Modified Gravities as Holographic Limits of Lancsoz-Lovelock Theories
• Covariant conserved currents for scalar-tensor Horndeski theory
• Non-Einsteinian Black Holes in Generic 3D Gravity Theories

Cited by in corpus (44)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
• Gravity with a generalized conformal scalar field: Theory and solutions
• BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
• Regular black holes in three dimensions
• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• Testing the nature of Gauss-Bonnet gravity by four-dimensional rotating black hole shadow
• Rotating Gauss-Bonnet BTZ Black Holes
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Joule-Thomson expansion of Lower-dimensional black hole
• Equivalence of solutions between the four-dimensional novel and regularized EGB theories in a cylindrically symmetric spacetime
• Quasibound States, Stability and Wave Functions of the Test Fields in the Consistent 4D Einstein-Gauss-Bonnet Gravity
• Stability of asymptotically flat (2+1)-dimensional black holes with Gauss-Bonnet corrections
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Black Holes with Scalar Hair in Three Dimensions
• Page Curve and Island in EGB gravity
• Three Dimensional Modified Gravities as Holographic Limits of Lancsoz-Lovelock Theories
• Non-linear charged planar black holes in four-dimensional Scalar-Gauss-Bonnet theories
• Thermodynamics of Regular Black Holes in Anti-de Sitter Space
• Regular BTZ black holes from an infinite tower of corrections
• On the gravitational collapse in 4-dimensional Einstein-Gauss-Bonnet gravity
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Exploring the shear viscosity in four-dimensional planar black holes beyond General Relativity
• Quasibound states of scalar fields in the consistent 4D Einstein-Gauss-Bonnet-(Anti-)de Sitter gravity
• 3D Lovelock Gravity and the Holographic c-Theorem
• Gauss-Bonnet black holes in (2+1) dimensions: Perturbative aspects and entropy features
• Lower-dimensional Limits of Cubic Lovelock Gravity
• Cosmic evolution in novel-Gauss Bonnet Gravity
• On regular charged black holes in three dimensions
• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Gauss-Bonnet holographic superconductors in lower-dimensions
• Microscopic entropy of static black holes in 3d Lovelock gravities
• Three dimensional charged black holes in Gauss-Bonnet gravity
• Dimensional aspects of Lovelock-Lanczos gravity
• Scaling symmetry, Smarr relation, and the extended first law in lower-dimensional Lovelock gravity
• Primordial black holes in a dimensionally oxidizing Universe
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling
• Global and local thermodynamics of the (2+1)-dimensional rotating Gauss-Bonnet black hole
• Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes
• Lower-dimensional Gauss-Bonnet gravity black holes with quintessence