Black hole evaporation in de Sitter space

Abstract

We investigate the evaporation process of a Kerr-de Sitter black hole with the Unruh-Hawking-like vacuum state, which is a realistic vacuum state modelling the evaporation process of a black hole originating from gravitational collapse. We also compute the greybody factors for gravitons, photons, and conformal-coupling massless scalar particles by using the analytic solutions of the Teukolsky equation in the Kerr-de Sitter background. It turns out that the cosmological constant quenches the amplification factor and it approaches to zero towards the critical point where the Nariai and extremal limits merge together. We confirm that even near the critical point, the superradiance of gravitons is more significant than that of photons and scalar particles. Angular momentum is carried out by particles several times faster than the mass energy decreases. This means that a Kerr-de Sitter black hole rapidly spins down to a nearly Schwarzschild-de Sitter black hole before it completely evaporates. We also compute the time evolution of the Bekenstein-Hawking entropy. The total entropy of the Kerr-de Sitter black hole and cosmological horizon increases with time, which is consistent with the generalized second law of thermodynamics.

arXiv comment32 pages, 16 figures, version accepted by CQG

References in corpus (20)

• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• The Energy-Momentum Tensor for Cosmological Perturbations
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
• On the Instability of Global de Sitter Space to Particle Creation
• Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter Black Hole: Scalar Radiation
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Pragmatic mode-sum regularization method for semiclassical black-hole spacetimes
• Renormalized stress-energy tensor of an evaporating spinning black hole
• Stability of the Cauchy horizon in Kerr--de Sitter spacetimes
• Quasinormal modes of Kerr-de Sitter black holes via the Heun function
• Renormalized stress-energy tensor for stationary black holes
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Superradiance in the sky
• Back(reaction) to the Future in the Unruh-de Sitter State
• Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
• A Cosmological No-Hair Theorem
• Absorption rate of the Kerr-de Sitter black hole and the Kerr-Newman-de Sitter black hole
• Decoherence Can Relax Cosmic Acceleration
• The definition of mass in asymptotically de Sitter space-times

Cited by in corpus (18)

• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• The FL bound and its phenomenological implications
• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
• On the duality of Schwarzschild-de Sitter spacetime and moving mirror
• Infinite quantum twisting at the Cauchy horizon of rotating black holes
• Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
• Universality on thermodynamic relation with corrections in de Sitter black holes
• Black holes, multiple propagation speeds, and energy extraction
• Interferometry of black holes with Hawking radiation
• New Chandrasekhar transformation in Kerr spacetime
• Einstein-Horndeski gravity and the ultra slowly evaporating black hole
• Evaporation of Echoing Black Holes
• Quasinormal modes of three $(2+1)$-dimensional black holes in string theory, conformal gravity, and Hu-Sawicki $F(R)$ theory via the Heun function
• The fate of Schwarzschild--de Sitter black holes: nonequilibrium evaporation
• The fate of Reissner--Nordström--de Sitter black holes: nonequilibrium discharge and evaporation
• Kiselev black hole and the ultra-slow evaporating behavior
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies