Deriving the paradox: original derivation of Hawking radiation

Abstract

We revisit Hawking's original derivation of the evaporation process in a non-stationary spacetime, presenting it in a clear and pedagogical manner, with a focus on the spherical collapse of a star into a black hole. Our analysis highlights the underlying assumptions in the calculations, clarifying their physical significance, potential implications, and the limitations of this approach.

21 pages, 1 figure. Submitted as chapter 1 in the upcoming volume "The Black Hole Information Paradox", A. Akil and C. Bambi, editors (Springer Singapore)