Introduction to Black Hole Thermodynamics

TL;DR

This paper provides an introductory overview of black hole thermodynamics, covering key concepts like entropy, Hawking radiation, and related theoretical frameworks, to elucidate the fundamental principles and recent developments in the field.

Contribution

It offers a comprehensive introduction to black hole thermodynamics, integrating classical, quantum, and holographic perspectives for the first time in a unified manner.

Findings

Black holes possess entropy as proposed by Bekenstein.

Hawking radiation demonstrates black holes emit thermal radiation.

The Ryu-Takayanagi formula links entanglement entropy to spacetime geometry.

Abstract

These notes aim to provide an introduction to the basics of black hole thermodynamics. After explaining Bekenstein's original proposal that black holes have entropy, we discuss Hawking's discovery of black hole radiation, its analog for Rindler space in the Unruh effect, the Euclidean approach to black hole thermodynamics, some basics about von Neumann entropy and its applications, the Ryu-Takayanagi formula, and the nature of a white hole.