Thermodynamics of noncommutative quantum Kerr black holes

Abstract

Thermodynamic formalism for rotating black holes, characterized by noncommutative and quantum corrections, is constructed. From a fundamental thermodynamic relation, equations of state and thermodynamic response functions are explicitly given and the effect of noncommutativity and quantum correction is discussed. It is shown that the well known divergence exhibited in specific heat is not removed by any of these corrections. However, regions of thermodynamic stability are affected by noncommutativity, increasing the available states for which some thermodynamic stability conditions are satisfied.

arXiv comment16 pages, 9 figures

References in corpus (19)

• Charged AdS Black Holes and Catastrophic Holography
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Non-Commutative Quantum Mechanics
• The evolution of unstable black holes in anti-de Sitter space
• Noncommutative Yang-Mills in IIB Matrix Model
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Deforming Einstein's Gravity
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Stability of Black Holes and Black Branes
• Noncommutative Quantum Cosmology
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Thermodynamics of phase transition in higher dimensional AdS black holes
• Towards Noncommutative Quantum Black Holes
• Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
• Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• On Noncommutative Minisuperspace and the Friedmann equations
• Constraint on noncommutative spacetime from PLANCK data
• The postulates of gravitational thermodynamics

Cited by in corpus (7)

• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Entropy, temperature and internal energy of trapped gravitons and corrections to the Black Hole entropy
• Building a linear equation of state for trapped gravitons from finite size effects and the Schwarzschild black hole case
• Thermodynamic Properties of Yukawa-Schwarzschild Black Hole in Non-commutative Gauge Gravity
• Noncommutative cosmological models induced by a symplectic formalism coupled to phantom fluids
• Coalescence of Kerr Black Holes: Binary Systems from GW150914 to GW170814
• Corrections to the Black hole entropy from a Bose Einstein condensate: a semi-classical phenomenological approach