Thermodynamic Geometry Of Charged Rotating BTZ Black Holes

Abstract

We study the thermodynamics and the thermodynamic geometries of charged rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the thermodynamics of these systems within the context of the Weinhold and Ruppeiner thermodynamic geometries and the recently developed formalism of geometrothermodynamics (GTD). Considering the behavior of the heat capacity and the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot describe completely the thermodynamics of these black holes and of their limiting case of vanishing electric charge. In contrast, the Legendre invariance imposed on the metric in GTD allows one to describe the CR-BTZ black holes and their limiting cases in a consistent and invariant manner.

References in corpus (9)

• Geometrothermodynamics
• Geometrothermodynamics of black holes
• Thermodynamical Metrics and Black Hole Phase Transitions
• Unified geometric description of black hole thermodynamics
• Flat Information Geometries in Black Hole Thermodynamics
• Geometric description of BTZ black holes thermodynamics
• Charged Rotating BTZ Black Hole and Thermodynamic Behavior of Field Equations at its Horizon
• A Commentary on Ruppeiner Metrics for Black Holes
• Microscopic entropy of the charged BTZ black hole

Cited by in corpus (46)

• Dilatonic BTZ black holes with power-law field
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
• Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Thermogeometric phase transition in a unified framework
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• Thermodynamics, geometrothermodynamics and critical behavior of (2+1)-dimensional black holes
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Restricted thermodynamic fluctuations and the Ruppeiner geometry of black holes
• The emergence of universal relations in the AdS black holes thermodynamics
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Topological approach to derive the global Hawking temperature of (massive) BTZ black hole
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
• Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Magnetized topological black holes of dimensionally continued gravity
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Geometrothermodynamics in Horava-Lifshitz gravity
• Accretion of Dark Energy onto Higher Dimensional Charged BTZ Black Hole
• Geometrothermodynamics: Comments, critics, and supports
• Thermodynamics of 2+1 dimensional Coulomb-Like Black Holes from Non Linear Electrodynamics with a traceless energy momentum tensor
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Curvature as a Measure of the Thermodynamic Interaction
• Thermodynamics and phase transition of BTZ black hole in a cavity
• New black hole solutions in three-dimensional $f(R)$ gravity
• Thermodynamics and geometry of strange quark matter
• Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes
• Three-dimensional black holes via Noether symmetries
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Adiabatic analysis of the rotating BTZ black hole
• Tunneling of Hawking radiation for BTZ black hole revisited
• Geometrothermodynamic cosmology
• Prospects for searching for sterile neutrinos with gravitational wave and $\gamma$-ray burst joint observations
• Charged rotating BTZ solution revisited: New coordinates and algebraic classifications
• Thermodynamics and Spectroscopy of charged Dilaton black holes
• Structure of $3D$ gravastars in the context of massive gravity
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Aspects of the BTZ black hole interacting with fields
• Time Evolution of Temperature and Entropy of Various Collapsing Domain Walls
• Thermodynamic and observational implications of black holes in toroidal geometry
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy