Schrödinger evolution of the Hawking state

Abstract

A Schrödinger-picture description of the evolving quantum state of Hawking radiation is given, based on an ADM decomposition using time slicings that smoothly cross the horizon. This treatment avoids requiring a role for trans-planckian modes, which can be viewed as artifacts of Hawking's original calculation, and also supports arguments that radiation from black holes is produced in a "quantum atmosphere" with thickness comparable to the horizon size, rather than microscopically far from it. Particularly explicit formulas are given for the two-dimensional analog of the Schwarzschild geometry. This analysis is expected to generalize to other black holes, and to cosmology. The resulting quantum evolution also provides important background for investigating corrections to the Hawking process, as are necessary for restoring unitary evolution of black hole decay.

20 pages. v2: references added, minor corrections/clarifications

References in corpus (5)

• Black hole information, unitarity, and nonlocality
• Quantization in black hole backgrounds
• Black hole evaporation without an event horizon
• Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time
• An exact derivation of the Hawking effect in canonical formulation

Cited by in corpus (6)

• UV And IR Effects On Hawking Radiation
• Quantum evolution of the Hawking state for black holes
• A "black hole theorem," and its implications
• Perturbative quantum evolution of the gravitational state and dressing in general backgrounds
• Schrödinger evolution of two-dimensional black holes
• Black holes to white holes II: quasi-classical scenarios for white hole evolution