Black Hole - Moving Mirror II: Particle Creation
Michael R.R. Good, Paul R. Anderson, Charles R. Evans
TL;DR
This paper explores the exact mathematical correspondence between black hole formation and moving mirror trajectories, analyzing particle creation and spectrum evolution through wave packet methods.
Contribution
It provides an analytical study of particle creation during black hole formation and moving mirror acceleration, highlighting the full emission history including non-thermal and thermal phases.
Findings
Exact Bogolubov coefficients for black hole and mirror cases
Particle spectrum evolves from non-thermal to Planckian
Analytical computation of entire particle creation history
Abstract
There is an exact correspondence between the simplest solution to Einstein's equations describing the formation of a black hole and a particular moving mirror trajectory. In both cases the Bogolubov coefficients in 1+1 dimensions are identical and can be computed analytically. Particle creation is investigated by using wave packets. The entire particle creation history is computed, incorporating the early-time non-thermal emission due to the formation of the black hole (or the early-time acceleration of the moving mirror) and the evolution to a Planckian spectrum.
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