Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity
arXiv:2311.12186 · doi:10.1016/j.astropartphys.2024.102988
Abstract
In this work, we investigate the phase transition of the Schwarzschild black hole (SBH) inside an isothermal spherical cavity in the context of the non-commutative (NC) gauge theory of gravity, by using the Seiberg-Witten (SW) map and the star product. Firstly, we compute the NC correction to the Hawking temperature and derive the logarithmic correction to the entropy, then we derive the local temperature and local energy of NC SBH in isothermal cavity. Our results show that the non-commutativity removes the commutative divergence behavior of temperature, and prevents the SBH from the complete evaporation, which leads to a remnant black hole, and this geometry has predicted a minimal length in the order of Planck scale . Therefore, the thermodynamic stability and phase transition is studied by analyzing the behavior of the local heat capacity and the Helmholtz free energy in the NC spacetime, where the results show that, the NC SBH has a two second-order phase transition and one first-order phase transition, with two Hawking-Page phase transition in the NC gauge theory.
arXiv comment9 pages, 5 figures
References in corpus (54)
- String Theory and Noncommutative Geometry
- Noncommutative geometry inspired Schwarzschild black hole
- Space-Time Noncommutative Field Theories And Unitarity
- Deforming Einstein's Gravity
- Thermal Fluctuations in a Charged AdS Black Hole
- Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
- A model of radiating black hole in noncommutative geometry
- Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
- Phase Transitions and Critical Behavior for Charged Black Holes
- Thermodynamic phase transition of a black hole in rainbow gravity
- Towards Noncommutative Quantum Black Holes
- Thermodynamics and evaporation of the noncommutative black hole
- Statistical Mechanics of Black Holes
- Entropy Corrections for Schwarzschild and Reissner-Nordström Black Holes
- Thermodynamic geometry of a black hole surrounded by perfect fluid in Rastall theory
- Charged Black Hole in a Canonical Ensemble
- Constraining non-commutative space-time from GW150914
- Leading-order corrections to charged rotating AdS black holes thermodynamics
- Universality of P-V Criticality in Horizon Thermodynamics
- On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
- Deformed Reissner--Nordstrom solutions in noncommutative gravity
- Thermodynamic phase transition in the rainbow Schwarzschild black hole
- Thermodynamics of an Evaporating Schwarzschild Black Hole in Noncommutative Space
- Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
- Thermodynamic stability of modified Schwarzschild-AdS black hole in rainbow gravity
- Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory
- Thermodynamics and Phase Transition of a Nonlinear Electrodynamics Black Hole in a Cavity
- Thermodynamics of the Reissner-Nordström black hole with quintessence matter on the EGUP framework
- Exponential corrected thermodynamics of Born-Infeld BTZ black holes in massive gravity
- Canonical Quantization and the Statistical Entropy of the Schwarzschild Black Hole
- Effect of the modified Heisenberg algebra on the Black hole thermodynamics
- The modified first laws of thermodynamics of anti-de Sitter and de Sitter space-times
- Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
- EUP-corrected thermodynamics of BTZ black hole
- Extended Phase Space Thermodynamics for Black Holes in a Cavity
- Criticality and Surface Tension in Rotating Horizon Thermodynamics
- Geodesic equation in non-commutative gauge theory of gravity
- Effect of Snyder-de Sitter model on the Black hole thermodynamics in the context of rainbow gravity
- Quantum corrections to the quasinormal modes of the Schwarzschild black hole
- Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
- Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
- Bound of Noncommutativity Parameter Based on Black Hole Entropy
- Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
- Solutions without singularities in gauge theory of gravitation
- Corrected thermodynamics of black hole conformally coupled to a massless scalar
- The thermodynamics and phase transition of a rainbow black hole
- The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
- Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
- Thermodynamic Properties of Yukawa-Schwarzschild Black Hole in Non-commutative Gauge Gravity
- Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
- Regular black holes in isothermal cavity
- Small Black String Thermodynamics
- Thermodynamic phase transition of a Schwarzschild black hole with global monopole under GUP
Cited by in corpus (4)
- Constructing noncommutative black holes
- Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole
- Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
- Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"