I’m studying a PhD in Theoretical Physics (quantum field theory, to be specific), but I would like to learn more about black holes (and related areas. Does anyone have any suggestions for textbooks/available notes on these subjects for people without much background in them? Obviously I’m very comfortable with mathematics and physics in general so I’m not looking for “pop science” material.
Blackholes are the solution to Einstein's equation. For the introduction, how these solutions/geometries have been obtained look at the textbook
- Spacetime and Geometry: An Introduction to General Relativity by Sean Carroll This book is very easy to read and understand. More focus should be on the Penrose diagram (Various coordinate systems) which are very crucial to understand the Blackholes.
Having equipped with general solutions, You can start to learn more about Quantum fields in that spacetime. This will lead to Blackhole information Paradox. This paradox has been resolved up to some extent in AdS/CFT Correspondance. For understanding the quantum nature of Blackhole,
This reference is to understand the information loss problem and How spacetime can be view as quantum entanglement.
In addition to Sean Carroll’s Spacetime and Geometry, I will also point out this course on Coursera by Emil Akhmedov. This is a more problem and assignment oriented course.
The most complete but rigorous text on black holes is "The Mathematical Theory of Black Holes" by Chandrasekhar. However, this one is terse and requires knowledge of advanced General Relativity.
Other texts include "A Relativist's Toolkit" by Eric Poisson which discusses the topic and the relevant mathematics in sufficient details and "Gravitation:Foundation and Frontiers" by Thanu Padmanabhan includes discussions on some crucial conceptual ideas on the subject that are usually not found elsewhere.
Apart from Carroll's text (mentioned in other lectures), there are nice lecture notes on the subject like Black Holes from A to Z by Andrew Strominger and Introductory lectures on Black Hole Thermodynamics by Ted Jacobson (if you are interested in the thermodynamics of BHs).