Black hole thermodynamics

TL;DR

This paper introduces fundamental concepts of black hole thermodynamics, covering classical laws, quantum effects like Hawking radiation, and entropy from various theoretical perspectives, including Euclidean methods and AdS/CFT.

Contribution

It provides a comprehensive review of black hole thermodynamics, integrating classical, quantum, and holographic approaches in a pedagogical manner.

Findings

Derivation of Hawking radiation effects.

Discussion of entropy via Euclidean path integrals.

Connection of black hole thermodynamics to AdS/CFT correspondence.

Abstract

These notes introduce basic aspects of black hole thermodynamics. I review the classical laws of black hole mechanics, give a brief introduction to the essential concepts of quantum field theory in curved spacetime, and derive the Unruh and Hawking effects. I conclude with a discussion of entropy from the Euclidean path integral point of view and in the context of the AdS/CFT correspondence. Originally delivered as a set of lectures at the PIMS summer school ``Strings, Gravity and Cosmology'' in August 2004.