Advanced Course on Gravity, Fall 2024

Lecture 1 Review of General Relativity

Lecture 2 Schwarzschild Black Hole and Penrose–Carter Diagrams

Lecture 3 Reissner–Nordström Spacetime

Lecture 4 Exploring Schwarzschild Geometry

Lecture 5 Kerr Black Hole: Causal Structure and Frame-Dragging

Lecture 6 Kerr Black Hole: Geodesic Motions and Penrose Process

Lecture 7 Cosmological Solutions: FLRW, dS and AdS Solutions

Lecture 8 Killing Horizons

Lecture 9 Raychaudhuri Equation

Lecture 10 Singularity Theorem

Lecture 11 ADM Energy

Lecture 12 Black Hole Thermodynamics

Lecture 13 Quantum Field Theory in Curved Spacetime: Basics

Lecture 14 The Unruh Effect and Particle Creation

Lecture 15 Hawking Radiation and Black Hole Evaporation

Lecture 16 The Information Paradox

Lecture notes are written by referring to various sources without mentioning them. Comments are welcome.

Syllabus