Quantum and Holographic Aspects of Black Holes

Abstract: This thesis explores the quantum nature of black holes using the gravitational path integral and the holographic AdS/CFT framework. It focuses on three main questions: how quantum effects modify black hole geometries, how black hole entropy arises from microscopic quantum states, and how near-extremal rotating black holes behave at low temperature. First, it shows that quantum backreaction can create new black hole solutions, including charged black holes that are impossible in classical gravity. Second, it studies semiclassical black hole states and finds that Euclidean wormholes create correlations between them. Taking these overlaps into account gives a number of states consistent with the Bekenstein–Hawking entropy, suggesting that gravitational path integrals can encode black hole microstates. Finally, the thesis studies rotating black holes near extremality and shows that their low-temperature behavior can be described by a two-dimensional theory related to the Schwarzian action. 

Tribunal:

• President: Dr. Jorge Varelas Rocha
• Secretary: Dr. Javier Martínez Magán
• Vocal: Dr. Antonia Micol Frassino

Suplents:

• Dr. Pablo Bueno Gómez
• Dr. Robie A. H. Hennigar

Director: Dr. Roberto Alejandro Emparan Garcia De Salazar
Tutor: Dr. Joan Soto Riera