General Relativity

This note is inspired from prof. Khosravi course of “Introduction to General Relativity”. In this note, I’ve developed the theory of gravitation as a classical field theory from EFT approach. The relevant terms in lagrangian are carefully written (according to the lorentz and gauge symetries and ghost-free conditions) and then the equations of motion are derived (linear gravity). Also there’s a chapter on geometry which is kinda different. I’ve derived the basic needed tools (such as metric, covariant derivative, Christoffel symbols, Riemann tensor, etc.) using some simple vector statement without diving into advanced differential geometry.