Introduction to black hole thermodynamics
Pietro Benetti Genolini

TL;DR
This paper provides a concise introduction to black hole thermodynamics, covering fundamental laws, Hawking radiation, Euclidean methods, and AdS black holes, aimed at students and researchers in mathematical physics.
Contribution
It offers a summarized, biased overview of key concepts and methods in black hole thermodynamics, suitable for educational purposes.
Findings
Explanation of black hole laws and mechanics
Introduction to Hawking radiation and Euclidean methods
Overview of AdS black hole thermodynamics
Abstract
These are the lecture notes for a course at the "Roberto Salmeron School in Mathematical Physics" held at the University of Brasilia in September 2025, to be published in the proceedings book "Modern topics in mathematical physics." The course provides a concise and biased introduction to black hole thermodynamics. It covers the laws of black hole mechanics, Hawking radiation, Euclidean quantum gravity methods, and AdS black holes.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Quantum Electrodynamics and Casimir Effect
