Thermodynamics for higher dimensional rotating black holes with variable Newton constant

Abstract

The extensivity for the thermodynamics of general $D$-dimensional rotating black holes with or without a cosmological constant can be proved analytically, provided the effective number of microscopic degrees of freedom and the chemical potential are given respectively as $N=L^{D-2}/G,\mu =GT{I}_D/L^{D-2}$, where $G$ is the variable Newton constant, $I_D$ is the Euclidean action and $L$ is a constant length scale. In the cases without a cosmological constant, i.e. the Myers-Perry black holes, the physical mass and the intensive variables can be expressed as explicit macro state functions in the extensive variables in a simple and compact form, which allows for an analytical calculation for the heat capacity. The results indicate that the Myers-Perry black holes with zero, one and $k$ equal rotation parameters are all thermodynamically unstable.

arXiv comment15 pages. V2: version to appear in Chinese Physics C

References in corpus (20)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• The General Kerr-de Sitter Metrics in All Dimensions
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Compressibility of rotating black holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Holographic Black Hole Chemistry
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Critical phenomena and chemical potential of charged AdS black hole
• Black Hole Phase Transitions and the Chemical Potential
• Black hole thermodynamics is extensive with variable Newton constant
• Holographic Entropy Production
• On the thermodynamic stability of rotating black holes in higher dimensions -- a comparison of thermodynamic ensembles
• Varying Newton constant and black hole to white hole quantum tunneling
• A topological charge of black holes

Cited by in corpus (16)

• Restricted phase space thermodynamics for AdS black holes via holography
• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
• Restricted phase space thermodynamics for black holes in higher dimensions and higher curvature gravities
• Rate of the phase transition for a charged anti-de Sitter black hole
• Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
• Thermodynamics for regular black holes as intermediate thermodynamic states and quasinormal frequencies
• Topology and phase transition for EPYM AdS black hole in thermal potential
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Topology of the charged AdS black hole in restricted phase space
• Holographic Thermodynamics of BTZ Black Holes and Tsallis Entropy
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• High temperature AdS black holes are low temperature quantum phonon gases
• Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence
• Analysis of the CERN-NA63 radiation reaction data set, assuming the Rindler bath is composed of microscopic black holes
• RPST-Inspired Formalism for Black Holes in Flat Spacetime
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space