Regularization ambiguity and van der Waals black hole in 2+1 dimensions
arXiv:2004.09650 · doi:10.1140/epjc/s10052-021-09301-7
Abstract
Charged black holes in a ()-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such issues. By extending the parameter space of the BTZ geometry, we properly identify the integration constants in order to remove the conical singularity sitting at the origin. In such a way we obtain a well defined Minkowski limit and horizons also in the case of de Sitter background space. On the thermodynamic side, we obtain a proper internal energy, by invoking the consistency with the Area Law, even if the mass parameter does not appear in the metric coefficients. As a further improvement, we show that it is sufficient to assume a finite size of the electric charge to obtain a short scale regular geometry. The resulting solution, generalizing the charged BTZ metric, is dual to a van der Waals gas.
arXiv comment18 pages, 3 figures, version published on EJPC
References in corpus (41)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Large N Field Theories, String Theory and Gravity
- The Black Hole in Three Dimensional Space Time
- String Theory and Noncommutative Geometry
- Noncommutative Field Theory
- P-V criticality of charged AdS black holes
- Noncommutative geometry inspired Schwarzschild black hole
- Black hole chemistry: thermodynamics with Lambda
- Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
- The cosmological constant and the black hole equation of state
- Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
- Charged Rotating Black Hole in Three Spacetime Dimensions
- Feynman Path Integral on the Noncommutative Plane
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Charged rotating noncommutative black holes
- Black holes in an ultraviolet complete quantum gravity
- UV divergence-free QFT on noncommutative plane
- Noncommutative geometry inspired dirty black holes
- Spinning charged BTZ black holes and self-dual particle-like solutions
- Noncommutative Inspired Black Holes in Extra Dimensions
- "Kerrr" black hole: the Lord of the String
- Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
- Quantum Corrected Black Holes from String T-Duality
- Lower-Dimensional Black Hole Chemistry
- Bardeen black hole chemistry
- Self-Completeness and the Generalized Uncertainty Principle
- Hawking emission from quantum gravity black holes
- BTZ black holes inspired by noncommutative geometry
- The Hawking-Page crossover in noncommutative anti-deSitter space
- Aspects of noncommutative (1+1)-dimensional black holes
- Regular black hole in three dimensions
- Regular black holes from semi-classical down to Planckian size
- Holographic screens in ultraviolet self-complete quantum gravity
- Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
- Planckian charged black holes in ultraviolet self-complete quantum gravity
- BPS-like bound and thermodynamics of the charged BTZ black hole
- Finite axionic electrodynamics from a new noncommutative approach
- Noncommutative Geometry Inspired Rotating Black Hole in Three Dimensions
- Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
- Dynamically self-regular quantum harmonic black holes
- Aspects of finite electrodynamics in D=3 dimensions