Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole

Abstract

In this paper, we will analyze the thermodynamics of a small singly spinning Kerr-AdS black hole. As the black hole will be sufficient small, its temperature will be large and so we can not neglect the effects of thermal fluctuations. We will demonstrate that these thermal fluctuations correct the entropy of singly spinning Kerr-AdS black hole by a logarithmic correction term. We will analyze the implications of the logarithmic correction on other thermodynamic properties of this black hole, and analyze the stability of such a black hole. We will observe that this form of correction becomes important when the size of the black hole is sufficient small. We will also analyze the effect of these thermal fluctuations on the critical phenomena for such a black hole.

21 pages, 11 figures. Accepted for publication in Nucl. Phys. B (NUPHB 13899)

References in corpus (6)

• Remnant for all Black Objects due to Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space
• Gravitational Collapse in Gravity's Rainbow

Cited by in corpus (16)

• Thermodynamics of higher dimensional black holes with higher order thermal fluctuations
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Thermal Fluctuations in a Hyperscaling Violation Background
• Non-Pertubative Quantum Corrections to a Born-Infeld Black Hole and its Information Geometry
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Thermodynamics and logarithmic corrections of symmergent black holes
• Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction
• Higher order quantum corrections of rotating BTZ black hole
• Stability of remnants of Bardeen regular black holes in presence of thermal fluctuations
• Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole
• Resolving the information loss paradox from the five-dimensional minimal supergravity black hole
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole