Thermodynamics of a Kerr Newman de Sitter Black Hole

Abstract

We compute the conserved quantities of the four-dimensional Kerr-Newman-dS (KNdS) black hole through the use of the counterterm renormalization method, and obtain a generalized Smarr formula for the mass as a function of the entropy, the angular momentum and the electric charge. The first law of thermodynamics associated to the cosmological horizon of KNdS is also investigated. Using the minimal number of intrinsic boundary counterterms, we consider the quasilocal thermodynamics of asymptotic de Sitter Reissner-Nordstrom black hole, and find that the temperature is equal to the product of the surface gravity (divided by $2\pi$) and the Tolman redshift factor. We also perform a quasilocal stability analysis by computing the determinant of Hessian matrix of the energy with respect to its thermodynamic variables in both the canonical and the grand-canonical ensembles and obtain a complete set of phase diagrams. We then turn to the quasilocal thermodynamics of four-dimensional Kerr-Newman-de Sitter black hole for virtually all possible values of the mass, the rotation and the charge parameters that leave the quasilocal boundary inside the cosmological event horizon, and perform a quasilocal stability analysis of KNdS black hole.

REVTEX4, 12 pages, 12 figures, references added and some points in Sec II have been clarified, version to appear in Can. J. Phys

References in corpus (12)

• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
• Thermodynamics and/of Horizons: A Comparison of Schwarzschild,RINDLER and desitter Spacetimes
• Quasilocal Thermodynamics of Kerr and Kerr-anti-de Sitter Spacetimes and the AdS/CFT Correspondence
• Magnetic Branes in Gauss-Bonnet Gravity
• Quasilocal Thermodynamics of Kerr de Sitter Spacetimes and the dS/CFT Correspondence
• Rotating Topological Black Branes in Various Dimensions and AdS/CFT Correspondence
• Kerr de Sitter Spacetimes in Various Dimension and dS/CFT Correspondence
• Horizonless Rotating Solutions in $(n+1)$-dimensional Einstein-Maxwell Gravity
• Entropy and Mass Bounds of Kerr-de Sitter Spacetimes

Cited by in corpus (28)

• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-nonlinear Maxwell Gravity
• Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
• Topological Black Holes in Gauss-Bonnet Gravity with conformally invariant Maxwell source
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS/CFT
• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• Constraining the tidal charge of brane black holes using their shadows
• Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity
• Magnetic Branes in Gauss-Bonnet Gravity
• Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method
• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Rotating black holes in a Randall-Sundrum brane with a cosmological constant
• The modified first laws of thermodynamics of anti-de Sitter and de Sitter space-times
• Horizonless Rotating Solutions in $(n+1)$-dimensional Einstein-Maxwell Gravity
• Entropy and Mass Bounds of Kerr-de Sitter Spacetimes
• Thermodynamics of Taub-NUT Black Holes in Einstein-Maxwell Gravity
• Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
• Particle creation by de Sitter black holes revisited
• Sur les corrections de la géométrie thermodynamique des trous noirs
• Hawking radiation of Kerr-Newman-de Sitter black hole
• Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle
• Absence of Normalizable Time-periodic Solutions for The Dirac Equation in Kerr-Newman-dS Black Hole Background
• On Black Ring with a Positive Cosmological Constant
• Weak Cosmic Censorship Conjecture Cannot be Violated in Gedanken Experiments
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
• Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity
• Counterterms for Static Lovelock Solutions