Lie -derivalt:
Hrasko Peter - Altalanos relativitas elmelet
Manifolds:
Introduction to Differential Geometry and General Relativity
The stress-energy tensor:
Schutz B.F. - A first course in general relativity
M. P. HOBSON ... General Relativity An Introduction for Physicists
Lagrangian and Hamiltonian formulaton:
An Advanced Course in General Relativity