This book provides a graduate-level introduction to classical and quantum black holes. It details examples of integrable systems, hidden symmetries in black hole spacetime, and resolutions to the information paradox, presenting an overview of cutting-edge research.
Quantum gravity seeks to reveal physical laws beyond the Planck scale, in a background-free world where time and distance are lost. This book introduces a renormalizable theory that helps us understand the history of the universe, from its birth to the present.