Thermodynamic stability of a new three dimensional regular black hole

Abstract

A new model of the regular black hole in $(2+1)-$dimensions is introduced by considering an appropriate matter field as the energy-momentum tensor. First, we propose a novel model of $d$-dimensional energy density that in $(2+1)-$dimensions leads to the existence of an upper bound on the radius of the event horizon and a lower bound on the mass of the black hole which are motivated by the features of astrophysical black holes. According to these bounds, we introduce an admissible domain for the event horizon radius, depending on the metric parameters. After investigation of geometric properties of the obtained solutions, we study the thermal stability of the solution in the canonical ensemble and find that the regular black hole is thermally stable in the mentioned admissible domain. Besides, the Gibbs free energy is calculated to examine the global stability of the solution.

arXiv comment21 pages, 14 figures, 2 tables, Comments are welcome

References in corpus (62)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Black Hole in Three Dimensional Space Time
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Geometry of the 2+1 Black Hole
• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• The Bardeen Model as a Nonlinear Magnetic Monopole
• Noncommutative geometry inspired Schwarzschild black hole
• Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• The (2+1)-Dimensional Black Hole
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Construction of Regular Black Holes in General Relativity
• Regular electrically charged structures in Nonlinear Electrodynamics coupled to General Relativity
• Regular black holes with a nonlinear electrodynamics source
• Generating rotating regular black hole solutions without complexification
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Geometrical aspects of light propagation in nonlinear electrodynamics
• Regular Black Holes and Topology Change
• Planck stars
• Regular black hole metrics and the weak energy condition
• Lifshitz Black Hole in Three Dimensions
• Static Charged Black Holes in $(2+1)$ Dimensional Dilaton Gravity
• A Multi-Mass Velocity Dispersion Model of 47 Tucanae Indicates No Evidence for an Intermediate Mass Black Hole
• Gravitational Entropy and Global Structure
• New Type of Regular Black Holes and Particlelike Solutions from Nonlinear Electrodynamics
• On a regular charged black hole with a nonlinear electric source
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Regular black holes and energy conditions
• Corrected form of the first law of thermodynamics for regular black holes
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• On the Effective Metric of a Planck Star
• Charged BTZ black holes in the context of massive gravity's rainbow
• Dilatonic BTZ black holes with power-law field
• 2+1-dimensional electrically charged black holes in Einstein - Power Maxwell Theory
• Is there an upper limit to black hole masses?
• Black holes in three-dimensional Einstein-Born-Infeld-dilaton theory
• Spherical Collapse in f(R) Gravity
• Magnetically charged regular black hole in a model of nonlinear electrodynamics
• Holographic superconductor developed in BTZ black hole background with backreactions
• Removing black-hole singularities with nonlinear electrodynamics
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Charged BTZ-like Black Holes in Higher Dimensions
• Regular black holes via the Kerr-Schild construction in DHOST theories
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Asymptotically charged BTZ Black Holes in Gravity's Rainbow
• The 2m <= r property of spherically symmetric static spacetimes
• Regular black holes from semi-classical down to Planckian size
• Regular black holes and its thermodynamics in Lovelock gravity
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Resisting collapse: How matter inside a black hole can withstand gravity
• Gravity in 2+1 dimensions as a Riemann-Hilbert problem
• Conserved charges in general relativity
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• Physical Properties of a Regular Rotating Black Hole: Thermodynamics, Stability, Quasinormal Modes
• Regular black holes with $\Lambda >0$ and its evolution in Lovelock gravity
• Some global, analytical and topological properties of regular black holes
• Nonstatic charged BTZ-like black holes in N+1 dimensions
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity

Cited by in corpus (2)

• A new class of regular Black Holes in Einstein Gauss Bonnet gravity with localized sources of matter
• New models of d-dimensional black holes without inner horizon and with an integrable singularity