Particle creation by de Sitter black holes revisited

Abstract

Creation of thermal distribution of particles by a black hole is independent of the detail of gravitational collapse, making the construction of the eternal horizons suffice to address the problem in asymptotically flat spacetimes. For eternal de Sitter black holes however, earlier studies have shown the existence of both thermal and non-thermal particle creation, originating from the non-trivial causal structure of these spacetimes. Keeping this in mind we consider this problem in the context of a quasistationary gravitational collapse occurring in a $(3+1)$-dimensional eternal de Sitter, settling down to a Schwarzschild- or Kerr-de Sitter spacetime and consider a massless minimally coupled scalar field. There is a unique choice of physically meaningful `in' vacuum here, defined with respect to the positive frequency cosmological Kruskal modes localised on the past cosmological horizon ${\mathcal{C}}^{-}$, at the onset of the collapse. We define our `out' vacuum at a fixed radial coordinate `close' to the future cosmological horizon, ${\mathcal{C}}^{+}$, with respect to positive frequency outgoing modes written in terms of the ordinary retarded null coordinate, $u$. We trace such modes back to ${\mathcal{C}}^{-}$ along past directed null geodesics through the collapsing body. Some part of the wave will be reflected back without entering it due to the greybody effect. We show that these two kind of traced back modes yield the two temperature spectra and fluxes subject to the aforementioned `in' vacuum. Since the coordinate $u$ used in the `out' modes is not well defined on a horizon, estimate on how `close' we might be to ${\mathcal{C}}^{+}$ is given by estimating backreaction. We argue no other reasonable choice of the `out' vacuum would give rise to any thermal spectra. Our conclusions remain valid for all non-Nariai class black holes, irrespective of the relative sizes of the two horizons.

v2; 19pp, 3 figures; added references and discussions, improved presentation; accepted in PRD

References in corpus (15)

• The Unruh effect and its applications
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Kerr-de Sitter Universe
• Holographic models of de Sitter QFTs
• Greybody Factors for Scalar Fields emitted by a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Black Hole Evaporation in an Expanding Universe
• Hawking radiation from black holes in de Sitter spaces
• Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Ideal Gas in a strong Gravitational field: Area dependence of Entropy
• Schwarzschild-de Sitter spacetime: the role of Temperature in the emission of Hawking radiation
• Quantum Correlators in Friedmann Spacetimes -The omnipresent de Sitter and the invariant vacuum noise
• Kerr-de Sitter spacetime, Penrose process and the generalized area theorem
• An exact derivation of the Hawking effect in canonical formulation

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• Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
• On the duality of Schwarzschild-de Sitter spacetime and moving mirror
• Nonthermal acceleration radiation of atoms near a black hole in presence of dark energy
• Seeing dark matter via acceleration radiation
• Quantum properties of fermionic fields in multi-event horizon spacetime
• Scalar tachyonic instabilities in gravitational backgrounds: Existence and growth rate
• Atom-field dynamics in curved spacetime
• Moving mirrors and event horizons in non-flat background geometry
• How cosmological expansion affects communication between distant quantum systems
• On the Euclidean Action of de Sitter Black Holes and Constrained Instantons