Black holes and Hawking radiation in spacetime and its analogues

TL;DR

This paper introduces the fundamental concepts of black hole physics, Hawking radiation, and their analogues, discussing key phenomena and unresolved questions without requiring prior advanced knowledge.

Contribution

It provides an accessible overview of black hole thermodynamics and Hawking radiation, including analogue models and recent theoretical discussions.

Findings

Hawking radiation exhibits thermality in spacetime and analogues

Stimulated emission and white hole radiation are analyzed in analogue models

The trans-Planckian problem and short wavelength dispersion are discussed

Abstract

These notes introduce the fundamentals of black hole geometry, the thermality of the vacuum, and the Hawking effect, in spacetime and its analogues. Stimulated emission of Hawking radiation, the trans-Planckian question, short wavelength dispersion, and white hole radiation in the setting of analogue models are also discussed. No prior knowledge of differential geometry, general relativity, or quantum field theory in curved spacetime is assumed.