Black Hole - Moving Mirror I: An Exact Correspondence

TL;DR

This paper establishes an exact mathematical correspondence between a specific moving mirror trajectory in (1+1)D spacetime and a black hole formation scenario, providing explicit Bogolubov coefficients and discussing potential generalizations to higher dimensions.

Contribution

It introduces a novel exact correspondence linking moving mirror trajectories to black hole formation, with explicit calculations of Bogolubov coefficients and discussion of higher-dimensional extensions.

Findings

Exact Bogolubov coefficients derived for the correspondence

Demonstrated equivalence between mirror trajectory and black hole spacetime

Discussed potential generalization to (3+1)D black holes

Abstract

An exact correspondence is shown between a new moving mirror trajectory in (1+1)D and a spacetime in (1+1)D in which a black hole forms from the collapse of a null shell. It is shown that the Bogolubov coefficients between the "in" and "out" states are identical and the exact Bogolubov coefficients are displayed. Generalization to the (3+1)D black hole case is discussed.